5

Questicn 110 ptschain of grocery retailers is considering opening = new store inan area that currently does not have any such stores The chain will open if there ar...

Question

Questicn 110 ptschain of grocery retailers is considering opening = new store inan area that currently does not have any such stores The chain will open if there are more than` S00 of the 25,000 households in the area have a favorable view of its chainTo test;it conducts telephone poll of 300 randomly selected households in the area and finds that 96 havc favorablc vicw:Which of the following (ABC,or DJ would be the correct hypothesisstatement?A Ho:ns0.30 H;:n>0.30 B. Ho:77<0.32 H;:m>0.

Questicn 1 10 pts chain of grocery retailers is considering opening = new store inan area that currently does not have any such stores The chain will open if there are more than` S00 of the 25,000 households in the area have a favorable view of its chain To test;it conducts telephone poll of 300 randomly selected households in the area and finds that 96 havc favorablc vicw: Which of the following (ABC,or DJ would be the correct hypothesis statement? A Ho:ns0.30 H;:n>0.30 B. Ho:77<0.32 H;:m>0.32 Ho: n<7,500 Hj:n>7500 D Ho:Us 500 H;p > 7.500 The value of the test statistic in this problem is decimal places) 3. The p-value associated with thetest statistic decimal places) Ata 5% level of significance: will the decision be to not reject Ho? (Yes/No) Next



Answers

Please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. Compute the value of the sample test statistic and corresponding $z$ value. (c) Find the $P$ -value of the test statistic. Sketch the sampling distribution and show the area corresponding to the $P$ -value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level $\alpha ?$ (e) Interpret your conclusion in the context of the application. Harper's Index reported that $80 \%$ of all supermarket prices end in the digit 9 or $5 .$ Suppose you check a random sample of 115 items in a supermarket and find that 88 have prices that end in 9 or $5 .$ Does this indicate that less than $80 \%$ of the prices in the store end in the digits 9 or $5 ?$ Use $\alpha=0.05$.

What do we have in this question? Now? Snoop Incorporated is a firm that does marketing surveys and marketing research and stuff. The Rolling Sound Company has hired this firm to study the age distribution off people who stream music. Now, in order to check the Snoop report, Rollem used a random sample off around 519 customers and their data is given to us. So let's just look at the data we have customer age. We have customers. Is this is in yours? Okay, so this is going to be a first column in the next column. We have percent of customers from Snoop Report. Okay, this is person off. Customers from Snoop report all the right. After that, we have the number of customers from the sample. That is the observed values that we just call this the observed values, the observed values. Okay, so what are the different categories that we have? The first one is less than 14 years. The next one is 14 to 18. After that, we have 18 to 23. After that, we have 24 to 28 24 to 28. After that, we have 29 to 33 29 to 33. And after that, we have greater than 33 That is older than 33. All right, we'll need more off this space. Okay, So now what is the person of customers from snoop report? This is 12%. This is 29%. This is 11%. This is 10%. This is 14% and this is 24% now. What were the observed values? We have 88. We have 1. 35. We have 52. We have 40. We have 76. We have 1. 28. All right. Thing is the data that is given to us now. What is the question? The question is, they're saying, use a 1% level of significance 1% off. The 1% level of significance mean that Alfa is 0.1 using this test. The clever distribution off customer ages in the Snoop Report agrees with that of the sample reports. So what is going to be a null hypothesis now? Hypothesis is that the distribution, the distribution off customer ages in the Snoop report in the Snoop report fits the distribution off the sample report which the distribution off change the sample report. All right, what is going to be the alternative hypothesis? The alternative hypothesis will be that the distribution off customers, the distribution off customer ages in the snoop report in this new report doesn't faked the distribution. The distribution off the sample report off the sample is report. Now, this is also very important. These two lines, uh, the first answer, the null and the alternative hypothesis. This is what you will write in the null and the alternative hypothesis. Okay, so now we have to test the claim. Now, in order to do this, we're going to perform a Chi Square. Sadistic. And what is the first step in performing a case question district? We find the expected values. We find the expected values for all the categories. What is the formula to find the expected value expected value? It's picked it. Value is given by the formula. The sample size that we have, the sample size multiplied by the probability or the proportion of each category, the probability, or the proportion off each category. Okay, so let's just apply this formula with you for the first category for less than 14 years of age. What is our sample size? Our sample sizes 519. So this edition is 519 Okay, So what is going to be the expected value for the first category? It is going to be 12% off 519 or 0.12 in 2519 This is 62.28 62.28 For the second one, it is 0.29 into 519 This is 1 15.51 2050.51 then the 6.11 in 2519 This is 57.9 57.9 After that, we have 10% off 519 which is 51.9. After that, we have 14% 140.14 off 519 which is 72.66 72.66 And then we have 24%. 0.24 into five or nine. This is 1 24.561 24 0.56 All right, now what do we need after this? After this, we're going to calculate the individual chi squares values the individual chi square values for all the categories. What is the formula for that? The formula that we're going to apply over here is going to be for every category. We are going to find the difference off the observed and the expected values square them, divide them by the expected values. And then in the end, we will add all of these values up. That is, add the value for all off the categories and we get the overall chi square statistic for our problems. Let us look at this formula. How are we going to apply this? So for the first category, there will be a difference off 88 62 point to it. So the difference between 88 62.28 will square this 25 0.72 We square this and we divide this by 62 point win 62.8. So this is 10.16. This is 10.62 Okay, Then we have the difference between 1 50.51 and 1 35. We square this and divide this by 1 50.51 This is 1.598 So it was like this is 1.6. Okay, then we have the difference between 57.9 and 52. We square this and we divide this by 57.9 57.9 So this is 0.4538 or okay, this is going to be 0.45 That's it. Then we have the difference between 51.9 and 40. We square this and we divide this by 51.9. This is two point 7 to 8. Or let me decide. This is 2.7 three. The difference between 76 72.66 Then we square this and divide this by 72.66 72.66 This is 0.1530 point 15 three. Then we have the difference between 1 28 and 1. 24.56 and we square this 3.44 and this is divided by 1 24 0.56 And this is 0.95 Or like music like this 0.1. Okay, Now I'm going to add all of these values up. Okay? How do we do that? 10.62 plus 1.6 plus 0.45 plus 2.73 less. 0.153 plus 0.1. I'm getting this as 15 point 15.653 All right. So I can see that my son over here or I can see that. Mike ice question. The stick is coming out to be 15.653 Now, I need the degrees of freedom. The degrees of freedom DF in order to find the key value. What is the formula for degrees of freedom? It is number off categories, number off categories minus one. So how many categories do we have? We have 1234566 different categories. So this is going to be six minus one. Or I could write this as five. Now I have my chi square, so to speak and my degrees of freedom. So now I can use either chi square table, but it will just give me a range off the values. And if I use a statistical software like python or or spaces or any statistical package will give me the exactly value. So what I'm doing over here is I'm using an online too. So my p values 15 0.656653 And my use of freedom is five. What is my Alfa? My Alfa in this case is 0.1 and I hit. Calculate, I get my p value of 0.0 7908 So I get my p value as 0.7 What was my Alfa? My Alfa was 0.1 All right, so I can see that my p value is less than Alfa, Which means what I reject my null hypothesis age not. Okay. So how do I framed this? I say that I have enough statistical evidence. Just such Oh, just a moment. Just a moment. Yeah. Okay. To suggest that. What was the question? Let's just look at the wording. The distribution off customer ages, the distribution off customer ages off customer ages in the snoop report in the Snoop report and the distribution on the distribution off the sample report in the distribution off the sample report. Ah, different right are different and this is going to be our answer, and that's how we go about doing this question.

Yeah. We have the following matched pairs and we want to conduct a scientist and matched pairs testing the plane P less than 0.5 at alpha equals 0.16 Presents this question assessing our understanding of how to conduct a non parametric test. A scientist and matched pairs for population data. So we have to proceed through such a through D to solve first and a wee state alpha. And our hypotheses this is alpha equals 0.1 H P equals 0.5 Or an H A p is less than 0.5 are clean. Now we can get the test and B we have the signs or rather the change from population would be as follows. There are 16 pluses minuses. So X is 13/16. The number of pluses over total plus minus. Thus we have zero equals excellent 00.5 over 0.25 and routed or 2.5 years in our next identify the P value from a normal pair of this is P equals PZ greater than actually magazine equals 0.62 Thus we conclude indeed, that we reject because P is less than equal to alpha. We have evidence to support our hypothesis are cheering hypothesis. We have evidence to support the less than 0.5.

We have the following matched pairs listed above and we want to conduct a scientist and mashed pears testing acclaimed P greater than 0.5 at alpha equals 0.5 significance. This question assessing your knowledge of how to conduct a scientist and mashed pears to do so. We could see a few cents a 30 below first and a least eight alpha and hypotheses. This is alpha equals 80.5 H. And r P equals 0.5 H. A. The claim P greater than 25. Next computer test at. So we have signs for the the difference from population A to B as follows and is 18. The total number of pluses and minuses. So X. Is the number of pluses over. The total number, which is 14, 18. Thus we have zero equals excellent 00.5 over. Route 0.25 over and equals 2.357 Thus we identify the P value from normal curve. So for normal distribution we have P equals pZ greater than 0.92 From this, we can conclude that we're going to reject H shot because he is the alpha, which means that we have evidence to support the claim that P is greater than 0.5.

For the match pairs given on the right. We want to conduct a sign tested matched pairs testing P does not equal 0.5 at alpha equals 0.5 significance. This question is testing our understanding of non parametric tests in particular how to conduct a scientist of matched pairs. We proceed there steps A through D below to solve. So first, in a we stayed alpha hypotheses, this gives alpha equals 0.5 H. And r P does not equal five. H. A P does not equal five. So the no hypothesis P is equal to have, the alternative is not A and B. We compute the test out. So are signs for these matched pairs are as follows and equals 12 is the total number of matched pairs. So X equals the number of plus or the total number plus and minus which is 4/12. Thus we have seen it equals x minus 5/45 over and equals negative 1.155 Thus the p value is for a normal distribution, P equals two PZ greater than zero equals 248 Thus we conclude that we fail to reject asian off because he is greater than alpha, which means that we lack evidence to support the claim P does not equal five.


Similar Solved Questions

4 answers
2L_Steward's Quiz #S page 2]_ Substitution Determine the products of the following reactions Deprotonate If needed to give the neutral product You do not need to provide mechanism: SNa CEN OTs ENacetonitrileproduct: needed - to form the given rate [ affected if the nucleophile= would the reaction Determine How instead Lof HMPA? used solvent ethanol was Explain: Io siow down
2L_Steward's Quiz #S page 2]_ Substitution Determine the products of the following reactions Deprotonate If needed to give the neutral product You do not need to provide mechanism: SNa CEN OTs EN acetonitrile product: needed - to form the given rate [ affected if the nucleophile= would the rea...
5 answers
Which of these molecules will NOL show only one sizna|_ in thc NMR spectunWhich of the following compunls contain primi} (1*) radical carbozs?Only [ Only Only II Only [I ard [VWhich ofthe following conipounds coniic Jaan (Jo) fidical carbons 'acceplab e Fan for t7c molecul *ncin here0,""AJ-Chloro-2 5-dinitcphenol C14 Chloro 3 6-dinitronherol(BI4-Chlcro-3,6-4 n Troaniine(DI4-Hycroxy-2,5-dinitroch Orcbenz
Which of these molecules will NOL show only one sizna|_ in thc NMR spectun Which of the following compunls contain primi} (1*) radical carbozs? Only [ Only Only II Only [I ard [V Which ofthe following conipounds coniic Jaan (Jo) fidical carbons ' acceplab e Fan for t7c molecul *ncin here 0,&quo...
5 answers
Consilcr tlic $YSCEIn of cquatiots given by:Findl _ fundatnencal tatrix for dllc systeinX(e)b. Find the tutrix exponetitial % (0) eit_ of tit ayarcin2(0)Solve tle iniial value prusletn with 2(0)usiug tie %acrix e"etitial fundin Part
Consilcr tlic $YSCEIn of cquatiots given by: Findl _ fundatnencal tatrix for dllc systein X(e) b. Find the tutrix exponetitial % (0) eit_ of tit ayarcin 2(0) Solve tle iniial value prusletn with 2(0) usiug tie %acrix e"etitial fundin Part...
5 answers
H-y=3 Question 3: Solve the following nonlinear system 3x-|2y=4
H-y=3 Question 3: Solve the following nonlinear system 3x-|2y=4...
5 answers
Find the area of the surface generated when the given curve is revolved about the given axis_y = 9x + 189x) for 3 <x<3; about the X-axisThe surface area is square units_ (Type an exact answer; using x as needed:)
Find the area of the surface generated when the given curve is revolved about the given axis_ y = 9x + 18 9x) for 3 <x<3; about the X-axis The surface area is square units_ (Type an exact answer; using x as needed:)...
5 answers
Ercr} inc {Jonges: nu:ecpnilc vthen thc solvert mexhanop Virlch % e Icloytte =
ercr} inc {Jonges: nu:ecpnilc vthen thc solvert mexhanop Virlch % e Icloytte =...
5 answers
Do the molecules below have permanent electric dipole moment?
Do the molecules below have permanent electric dipole moment?...
5 answers
29 m6682. + ICalculate tz an$les : A ,1 c c& 1" X Usin] : ( Six 3 Cos Yole
29 m 6 68 2. + I Calculate tz an$les : A ,1 c c& 1" X Usin] : ( Six 3 Cos Yole...
5 answers
Calculus Evaluate the Integral2t2 e8tdt
Calculus Evaluate the Integral 2t2 e8tdt...
5 answers
Fvaluate the defnite irtegral 4 I- 10Pk710The correct answer E not on this list
Fvaluate the defnite irtegral 4 I- 10Pk 7 10 The correct answer E not on this list...
5 answers
Explain in your own words and your own understanding (avoid plagiarism) what is the significance or importance (What does it signify?) of determining the Percentage Efficiency of an Electrical Equipment or System:
Explain in your own words and your own understanding (avoid plagiarism) what is the significance or importance (What does it signify?) of determining the Percentage Efficiency of an Electrical Equipment or System:...
5 answers
(Continuation of Exercise 45) Analysis of the so-called genesis rock sample taken on the Apollo 15 mission revealed a strontium-rubidium ratio of $0.0636 .$ Estimate the age of this rock.
(Continuation of Exercise 45) Analysis of the so-called genesis rock sample taken on the Apollo 15 mission revealed a strontium-rubidium ratio of $0.0636 .$ Estimate the age of this rock....
3 answers
INTEGRATED PROBLEMS Pepore efficient synthesh for exch translotmatic"cotufed spectroscopy (Chopters 15 and Pmion NMAintonded for students Wno nave 410,5z-14455 7 HoRole , Juutture for an ether mth molecular formula C;H,o nb ta lollaning "C NMR spactrum" Emntua 1457412071 4140Chemical ehlh (ppIn)Carbon NNR -705Chanlcal Ehuta (pom)moluar Hormu- ~ona Atructure lor compound wih Lea Ilncture lor 8 {AINVMR and "C NMR Spcctra:Ctamkcal shit (Rom)
INTEGRATED PROBLEMS Pepore efficient synthesh for exch translotmatic" cotufed spectroscopy (Chopters 15 and Pmion NMA intonded for students Wno nave 410,5z-14455 7 HoRole , Juutture for an ether mth molecular formula C;H,o nb ta lollaning "C NMR spactrum" Emntua 1457412071 4140 Chemi...
5 answers
Write a short note (approximately one page) on Graph Theory. [3]
Write a short note (approximately one page) on Graph Theory. [3]...
5 answers
BACKNEXT $Chapter 25, Problem 017 GO In the figure potential difference of V = 105 V 4.29 UF If capacitor applied across undergoes electrica capacitor arrangement with Capacitances C; 10.7 pF Cz = 5.81 UF; and charge on capacitor and (b) the breakdown so that it becomes equivalent to conducting wire, potential difference across capacitor 1? what is the Increase in (2) the120-lemlememlemlemlemlem(a) NumberUnitslem(b) NumberUnitslem
BACK NEXT $ Chapter 25, Problem 017 GO In the figure potential difference of V = 105 V 4.29 UF If capacitor applied across undergoes electrica capacitor arrangement with Capacitances C; 10.7 pF Cz = 5.81 UF; and charge on capacitor and (b) the breakdown so that it becomes equivalent to conducting wi...
5 answers
1W E Ij 1 1 1 8
1 W E Ij 1 1 1 8...
5 answers
To find the blue shaded area above; We would calculate:f(c)dz areaWhere:PreviewAreaPreview
To find the blue shaded area above; We would calculate: f(c)dz area Where: Preview Area Preview...
5 answers
8. Find the complete solution to Ax - 6, and write it as Xp Xh, by putting the augmented matrx into reduced row-echelon fom:Xi + 3x2 - +3x} 2x1 6x2 9x3 3x2 3x3
8. Find the complete solution to Ax - 6, and write it as Xp Xh, by putting the augmented matrx into reduced row-echelon fom: Xi + 3x2 - +3x} 2x1 6x2 9x3 3x2 3x3...
5 answers
Find +he 4rca of Lle Se clov boucae4 betwe €^ +< 0iv21 ran8 o+ va(mes ef 0 Ske+l + cutve 4nd sLadc +le 6/2^.4) Y3 Coj 00 < 6 < 7/6O 9) r: e0 4 0 $ 4Fin4 +leGy<404 oc2Pet-/ 0f+0 LarvlY ?sic (2 0) _
Find +he 4rca of Lle Se clov boucae4 betwe €^ +< 0iv21 ran8 o+ va(mes ef 0 Ske+l + cutve 4nd sLadc +le 6/2^. 4) Y3 Coj 0 0 < 6 < 7/6 O 9) r: e 0 4 0 $ 4 Fin4 +le Gy<4 04 oc2 Pet-/ 0f +0 Larvl Y ? sic (2 0) _...
5 answers
ALOdor Di6i feer 9ce due 40 noco9 4) A$ cempocy , wockef $ 4200 Tli ~Stendord deviatioc diskaibmon Qvengge fee 6 $ Z0TL , Ry Uirp trese 0, 4436 Qad P(x>Xu) =0,3084 4P(xa< x<X4) ukot is Xi Qnd X2 feef 2 -3459 C)X, 24355 DJX,_SyOJ A) X4 = 2505 B)x 2960 X2 * 335/ X22480? X2 (952 X2E) * 5640 Xz > 4520
ALOdor Di6i feer 9ce due 40 noco9 4) A$ cempocy , wockef $ 4200 Tli ~Stendord deviatioc diskaibmon Qvengge fee 6 $ Z0TL , Ry Uirp trese 0, 4436 Qad P(x>Xu) =0,3084 4P(xa< x<X4) ukot is Xi Qnd X2 feef 2 -3459 C)X, 24355 DJX,_SyOJ A) X4 = 2505 B)x 2960 X2 * 335/ X22480? X2 (952 X2 E) * 5640 ...

-- 0.022214--