Use the sample data and confidence level given below to complete parts (a) through (d).A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4816 patients treated with the drug, 176 developed the adverse reaction of nausea. Construct a 95% confidence interval for the proportion ofadverse reactions.a) Find the best point estimate of the population proportion p.(Round to three decimal places as needed.)b) Identify the value of the margin of error E.E=D(Round to three decimal places as needed.)c) Construct the confidence interval.] d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.O A. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.O B. One has 95% confidence that the sample proportion is equal to the population proportion.C. 95% of sample proportions will fall between the lower bound and the upper bound.O D. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Solution::" Given information: n= 4816 Sample size of patients x= 176 patients developed adverse reaction of nausea α=0.05 Level of significance a) The point estimate for population proportion p is p^=xn=1764816=0.0365448p^=0.037 Sample proportion of patients developed adverse reaction of nausea b) To find margin of error Margin of error = E =zα/2×p^×(1-p^)nAt α= 0.05zα/2=z0.025=1.96 From Z tableMargin of error = E=1.96×0.037×0.9634816Margin of error = E=1.96×0.0356314816Margin of error = E=1.96×0.00000739846Margin of error = E=1.96×0.0027200Margin of error = E=0.0053312Margin of error = E=0.005 c) The 95% confidence interval for population proportion p is p^-E<p<p^+E0.037-0.005<p<0.037+0.0050.032<p<0.042 d) Interpretation of confidence interval: one has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion . Option A is correct

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coniderice evel given below complete pats (a) drougi (0). drug is used to help prevent blood clots in certain patients. In clinical trials, among 4816 patients treated with the drug, 176 developed the adverse reaction of nausea. Construct a 95% confidence interval for the proportion of dverse reactions. ) Find the best point estimate of the population proportion p. Round to three decimal places as needed.) ) Identify the value of the margin of error E. Round to three decimal places as needed.) ) Construct the confidence interval. Round to three decimal places as needed.)

coniderice evel given below complete pats (a) drougi (0). drug is used to help prevent blood clots in certain patients. In clinical trials, among 4816 patients treated with the drug, 176 developed the adverse reaction of nausea. Construct a 95% confidence interval for the proportion of dverse reactions. ) Find the best point estimate of the population proportion p. Round to three decimal places as needed.) ) Identify the value of the margin of error E. Round to three decimal places as needed.) ) Construct the confidence interval. Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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