The drug Lipitor is meant to reduce total cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients ta
Posted: Wed May 11, 2022 12:56 pm
The drug Lipitor is meant to reduce total cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients taking 10 mg of Lipitor daily complained of flulike symptoms. Suppose that it is known that 1.9% of patients taking competing drugs complain of flulike symptoms. Assume the patients in the trials are randomly selected and independent. Is there evidence to conclude that more than 1.9% of Lipitor users experience flulike symptoms as a side effect at the = 0.01 level of significance? Answer: Step 0: Verify Assumptions 1. Is this a simple random sample? yes (yes, no) 2. Is np. (1 - p.) > 10 ? yes (yes, no) 3. Is n < 0.05N? yes (yes, no) Step 1: Parameter of interest: H:P =0.019 versus H :p >0.019 Step 2: Test statistic: Sample Proportion= (Round your answer to four decimal points and use it to find the test statistic) Z. (Round your test statistic to four decimal places) Step 3: p-value Step 3: Classical approach approach
Step 2: Test statistic: Sample Proportion= (Round your answer to four decimal points and use it to find the test statistic) Z. = (Round your test statistic to four decimal places) Step 3: p-value Step 3: Classical approach approach a = Za (Rounded to three decimal places) Does the test statistic lie in the rejection region? (yes, no) p-value= (Use The test statistic you found above and round p-value to four decimal places) What is the relationship between p-value and a? p-value a. Step 5: Conclusion: Is there sufficient evidence to conclude that more than 1.9% of Lipitor users experience flulike symptoms as a side effect at the = 0.01 level of significance ? (yes, no)
Step 2: Test statistic: Sample Proportion= (Round your answer to four decimal points and use it to find the test statistic) Z. = (Round your test statistic to four decimal places) Step 3: p-value Step 3: Classical approach approach a = Za (Rounded to three decimal places) Does the test statistic lie in the rejection region? (yes, no) p-value= (Use The test statistic you found above and round p-value to four decimal places) What is the relationship between p-value and a? p-value a. Step 5: Conclusion: Is there sufficient evidence to conclude that more than 1.9% of Lipitor users experience flulike symptoms as a side effect at the = 0.01 level of significance ? (yes, no)