8) A Municipal Survey on the drinking habits of South Africans estimated thepercentage of youth across the country who drink alcohol at least occasionally.Of the 1516 youth interviewed, 985 said that they drank.a. Determine a 95% confidence interval for the proportion of all South Africanswho drink alcohol at occasionally.b. Find the margin of error for the estimate of p.c. Obtain a sample size that will ensure a margin of error of at most 0.02 for a95% confidence interval without guessing for the observed value of p.d. Find a 95% confidence interval for p if, for a sample of the size determinedin part (c), 63% of those check out drink alcohol.

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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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In a random sample of 800 men aged 25 to 35 years, 24% said they live with one or both parents. In another sample of 850 women of the same age group, 18% said that they live with one or both parents.A. Construct a 95% confidence interval for the difference between the proportions of all men and all women aged 25 to 35 years who live with one or both parents.B. Test at the 2% significance level whether the two population proportions are different.C. Repeat the test of part b using the p-value approach.
In a clinical trial of a certain drug, 17 subjects experience headaches among the 222 subjects treated with the drug. Construct a 90% (Wald) confidence interval estimate for the proportion of treated subjects who experience headaches, completing parts (a) through (d) below. a. Find the best point estimate of the population proportion. (Type an integer or a decimal rounded to three decimal places b. Identify the value of the margin of error E. needed.) Type an integer or a decimal rounded to three decimal places as needed.) c. Construct the confidence interval. 0
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 4122 patients treated with the drug, 155 developed the adverse reaction of nausea. Construct a 95% confidence interval for the proportion of adverse 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.(round to three decimal places) C. Construct the confidence interval. (round to three decimal places as needed) D. Write a statement that correctly interprets the confidence interval
In a clinical trial of a certain drug, 24 subjects experience headaches among the 228 subjects treated with the drug. Construct a 95% (Wald) confidence interval estimate for the proportion of treated subjects who experience headaches, completing parts (a) through (d) below. a. find the best point estimate of the population proportion b. identify the value of the margin of error E c. construct the confidence interval d. write a statement that correctly inerprets the confidence interval
In a survey of 3242 adults aged 57 through 85 years, it was found that 82.9% of them used at least one prescription medication. Complete parts (a) through (c) below. a. How many of the 3242 subjects used at least one prescription medication? ____ (Round to the nearest integer as needed.) b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication. ____%<p<____% (Round to one decimal place as needed.) c. What do the results tell us about the proportion of college students who use at least one prescription medication? A. The results tell us that there is a 90% probability that the true proportion of college students who use at least one prescription medication is in the interval found in part (b). B. The results tell us that, with 90% confidence, the probability that a college student uses at least one prescription medication is in the interval found in part (b).…
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In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.03 margin of error and use a confidence level of 90%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. (Round up to the nearest integer.) b. Assume prior studies have shown that about 40% of full-time students earn bachelor's degrees in four years or less. n=D (Round up to the nearest integer.) c. Does the added knowledge in part (b) have much of an effect on the sample size? O A. No, using the additional survey information from part (b) does not change the sample size. O B. Yes, using the additional survey information from part (b) only slightly increases the sample size O C. Yes, using the additional survey information from part (b) dramatically reduces the sample size. O D.…
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