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QUESTION 46What is your conclusion based on the critical value and p-value?reject HO, i.e. there is not enough evidence to reject that nausea and drug are NOT depen...

Question

QUESTION 46What is your conclusion based on the critical value and p-value?reject HO, i.e. there is not enough evidence to reject that nausea and drug are NOT dependent reject HO, i.e. there is enough evidence to reject that nausea and drug are equally likely not reject HO, i.e. there is enough evidence to reject that nausea and drug are equally likely reject HO , i.e. there is enough evidence to reject that nausea and drug are independent. not reject HO,i.e. there is not enough evidence to reje

QUESTION 46 What is your conclusion based on the critical value and p-value? reject HO, i.e. there is not enough evidence to reject that nausea and drug are NOT dependent reject HO, i.e. there is enough evidence to reject that nausea and drug are equally likely not reject HO, i.e. there is enough evidence to reject that nausea and drug are equally likely reject HO , i.e. there is enough evidence to reject that nausea and drug are independent. not reject HO,i.e. there is not enough evidence to reject that nausea and drug are independent.



Answers

Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section. The drug OxyContin (oxycodone) is used to treat pain, but it is dangerous because it is addictive and can be lethal. In clinical trials, 227 subjects were treated with OxyContin and 52 of them developed nausea (based on data from Purdue Pharma L.P.). Use a 0.05 significance level to test the claim that more than $20 \%$ of OxyContin users develop nausea. Does the rate of nausea appear to be too high?

In this problem, we're going to be considering the outcomes off a clinical trial where subjects were given two different types of treatment. The first sample was given OxyContin on from the first sample. We have 52 subjects developing museum out off the 227 subjects. For those who received the placebo, we have five who developed nausea out off 45. So in this test, we're going to use toe approaches. They have policies, method on the confidence interval method. For the hypothesis method, we are going to be considering the critic the critical value for the 0.5 level of significance. And since we're only testing for a difference between the rates of nausea, then we will have a two tails test where the conflict where they now hypotheses this p one is not equal to be to, and the alternative before this is his P one is not equal to P two. So the critical value corresponds to this. Um, test is plus or minus 1.96 So now we can work out the test statistic using the formula given for that. And when we walk it out, completed one use. That is 1.7 seven or five. Now we can compare the step test statistic and the critical region. So here we have the critical region. She did negative 1.96 and positive one 0.96 So we notice that the test statistic 1.1775 It's less than the critical value positive 1.96 that leads us to making the decision to fail. To reject been now hypothesis by failing to reject another. Thank goodness is we conclude that there is not sufficient evidence to support the clean, that there is a difference between the rates of nausea for those treated with oxytocin on those given a placebo. Now we proceed to the confidence interval method and we need to work out the margin of error e by substituting the values in the formula and when we do that correctly, the E should be zero point 1068 and the critical interval. The confidence interval limits are zero point zero 112 and 0.2 248 So when you look at these numbers, you notice that confidence intervals do not include zero confidence interval in it do not contain zero, so it appears that the two proportions are not equal simple. According today, our confidence interval method, the to of the two proportions are not equal, which is different from what we have obtained in the previous approach using the hypothesis test. So now we can move on to the next month of the question where we're supposed to tell whether nausea appears to be an adverse reaction resulting from OxyContin. And when we compare the proportions off, those who developed knows it. We have 22 point 9% from those who received OxyContin, and for those who did not receive OxyContin, we have 11 0.1%. So based on the hypothesis test, and it appears like there is no difference between the two proportions, so there's no significant difference between the two proportions.

So in discussion, we know that the null hypothesis age not is that P is equal to 0.23 On the alternative hypothesis H A, there's a P is not equal. Does your zero three? As for the rejection region, this is the two tailed tests for Alfa is equal to 0.5 on the critical values of Z. Yeah, critical r Z is equal to negative 1.96 z to is equal 296. Therefore, we know they have to reject checked our no hypothesis H not. Yes, G because last time negative 1.96 or greater. Don't welcome, friend six. Okay, Now for the test statistic, we know that Z is equal to P virus. He over the square root off P times one minus p. That s p over. Okay, so, Playgirl, all our values and we get 0.258 Okay. Minus June 23. Over. Discouraged. What was your point? 03 times one minus your appointment. Your three over. But was 924. She's our end, which will give us a Z value of negative one. No. So as P value is zero point. You're five second for which is greater than did you appoint your five. Therefore you can fill to reject the no happens is h not.

Let us look at this statement. The researcher claims that less than 16% of the people had no health care visits in the past year, so my proportion is less than 0.16 This is going to be my alternative hypothesis. So what will be my null hypothesis? It is going to be that B is greater than or equal to 0.16 Alright. So if I reject minor hypothesis, I will say that I have enough statistical evidence to say that less than 16% of the people had no health care visits in the past year. All right, And if I fail to the Jackman our hypothesis, I will say that I do not have in a statistical evidence to support the claim that less than 16% of the people had no health care visits in the past year and this would be my answer.

Problem number nine, Which an eight, If you need me, okay, Can is bigger than or equal to 25%. Offering to fight and alternative hypothesis is that B is more than than open Christian. Be a critical value from a day before that is equal to negative 1.645 eso that this statistic that is equal to that we had, which is over 13 when. Let's be, which is open toe. Five over square hood off B open toe, five minus one minus open toe. Five over and it is. It's equal to many things. 1.8 86 So if if the test statistic is within the rejection regions and reject the null hypothesis as negative, 4.86 is smaller than negative 1.64 So we reject the mile high pops so we can see that there is sufficient evidence to support the cream


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