Question 21 1 pts Given that the population standard deviation is = 1, determine

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Question 21 1 pts Given that the population standard deviation is = 1, determine the minimum sample size needed in order to estimate the population mean so that the margin of error is E = .2 at 95% level of confidence. O 385 O 97 O 121 O 68 O 271 Question 22 1 pts In a clinical trial, 200 patients who received a new medication are randomly selected. It was found that 40 of them suffered serious side effects from this new medication. Let p denote the population proportion of patients suffered serious side effects from this new medication. Find a point estimate for p and also construct a 95% confidence interval for p O 20, (0.125, 0.195) O 0.80, (0.799.0.881) O 0.20, (0.153, 0.247) O0.20, (0.145, 0.255) O 20, (0.145, 0.255) Question 23 1 pts In a clinical trial, 200 patients who received a new medication are randomly selected. It was found that 40 of them suffered serious side effects from this new medication. Let p denote the population proportion of patients suffered serious side effects from this new medication. Using the information from the above sample, find the minimum sample size needed to estimate the population proportion p with 80% confidence. The estimate must be accurate to within .02 of p. O 4096 O 1692 O 656 O 1024

Explanation / Answer

21)for 95% Ci ;z =1.96

hence required sample size n=(z*std deviation/E)2 =97

22)

point estimate =40/200=0.2

std error =(p(1-p)/n)1/2 =0.0283

confidence interval =sample proportion -./+ z*std error =0.145 ; 0.255

hence option 0.2(0.145 ; 0.255) is correct

23)

for 80% CI ;z =1.2816

margin of error E =0.02

estimated proportion p=40/200 =0.2

hence required sample size n=p(1-p)*(Z/E)2=656

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