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(b) Now we are testing the following hypotheses: Ho:p 2 0.2HA:p < 0.2Place p = 0.2 on the graph Place =0.164 on the graph Shade the area which represents the P-v...

Question

(b) Now we are testing the following hypotheses: Ho:p 2 0.2HA:p < 0.2Place p = 0.2 on the graph Place =0.164 on the graph Shade the area which represents the P-value Find the P-value: Interpret the meaning of the P- value: Assuming p really is there is chance of getting sample proportion of 01 even

(b) Now we are testing the following hypotheses: Ho:p 2 0.2HA:p < 0.2 Place p = 0.2 on the graph Place =0.164 on the graph Shade the area which represents the P-value Find the P-value: Interpret the meaning of the P- value: Assuming p really is there is chance of getting sample proportion of 01 even



Answers

Consider the hypothesis test
$H_{0} : p_{1}-p_{2} \leq 0$
$H_{\mathrm{a}^{*}} p_{1}-p_{2}>0$
The following results are for independent samples taken from the two populations.
$\begin{array}{ll}{\text { Sample } 1} & {\text { Sample } 2} \\ {n_{1}-200} & {n_{2}-300} \\ {p_{1}-.22} & {p_{1}=.16}\end{array}$
a. What is the $p$ -value?
b. With $\alpha=.05,$ what is your hypothesis testing conclusion?

All right. In this case, we have been given that the set score is 1.0 and we're testing for the claim that he is greater than zero. Sorry is please greater than 0.3 if he is greater, which means that there's a single tail test and a right ale test. Right? We're going to shape for this region. Okay, ourselves statistic is 1.0 R Alfa level for this question is 0.5 And if I check the P value for that is equal to 1.0, I find that my P value is 0.158 Right? And since my people is greater than Alfa, I say that I do not have enough statistical evidence toe reject Mindulle hypothesis. This is not a significant. It is all right. Statistically significant result. And this would be my answer

Now in this case, I wonder if it's the claim. If my Pete is alright testing the claim that he is not equal to 0.345 now, since this is a not equal to sign, this is going to be a two tailed test A to tail best. Now, the C statistic that I have with me is 2.1 My zed is equal to 2.1 So I wanna find a two tailed p value. This is 2.1 So I'm just using a calculator for this 2.1 It's my decision to stick by significance level 0105 and this is two tailed hypothesis. So in this case, I get my P value of 0.44 My P value is 0.44 on my Alfa is zero point zero fight And since my P value is less than my Alfa, I will say that I have enough statistical evidence to reject mine al hypothesis. So I will reject. It's not

Yeah we want to conduct the following test that after equals 0.5 immigrants. We want to test whether P one does not equal P two for example data X one and one X two M two. That is we want to conduct the test of the difference of population proportions P one and P two. To conduct this hypothesis test, we need to proceed with steps A through E. Listen to well first and a. We state our hypotheses this is H. R proportions are equal. If you want to speak to H one H A P one does not equal P. Two and P we can create our test steps. We have P hat one equals X. Number N one. We have to be the next to other into full P had equal 12 consecutive over and want them to be eating these numbers into our test statistic gives me not equals 19.3 point four are critical value at 5% significance in the table is er over 200 plus and minus 1.96 The P value is P equals two pc. Grieving after values are not equal 20.73 dust. We have an E that since P is greater than alpha and Xena is not in the critical region, we failed to reject the null hypothesis H nine.

Now, in this question, my distant Asti is minus 2.5 Z value is minus 2.5 and I want to check for the claim that he is less than 0.75 p is less than 0.75 somewhere. Here, I have minus 2.5. Okay, this is going to be a left tail. As since this is a less than claim. This is going to be a left tail. A single tail on the left tail test. What is my Alfa my Alfa 0105? Okay, so let's try to find the P value for minus 2.5 for minus 2.5 minus 2.5. The P value that I'm getting 0.60 point 60.6 And my Alfa is 0.5 And as I can see that my P value is less than my Alfa. I say that I have enough statistical evidence to reject my null hypothesis. So I reject Mindulle hypothesis. H not


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