In a trial of 164 patients who received 10-mg doses of a drug daily, 36 reported headache as a side effect. Use this information to complete parts (a) through (d) below. (a) Obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect. p%3(Round to two decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. Are the requirements for constructing a confidence satisfied? O A. Yes, the requirements for constructing a confidence interval are satisfied. O B. No, the requirement that the sample size is no more than 5% of the population is not satisfied. O C. No, the requirement that each trial be independent is not satisfied. O D. No, the requirement that np (1-p) is greater than 10 is not satisfied. (c) Construct a 95% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect. The 95% confidence interval is ( I D. (Pound to thre e desin el al

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In a trial of 164 patients who received 10-mg doses of a drug daily, 36 reported headache as a side effect. Use this information to complete parts (a) through (d) below.
(a) Obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect.
p= (Round to two decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
Are the requirements for constructing a confidence satisfied?
O A. Yes, the requirements for constructing a confidence interval are satisfied.
O B. No, the requirement that the sample size is no more than 5% of the population is not satisfied.
O C. No, the requirement that each trial be independent is not satisfied.
O D. No, the requirement that np(1-p) is greater than 10 is not satisfied.
(c) Construct a 95% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect.
The 95% confidence interval is ( | ).
(Round to three decimal places as needed.)
Transcribed Image Text:In a trial of 164 patients who received 10-mg doses of a drug daily, 36 reported headache as a side effect. Use this information to complete parts (a) through (d) below. (a) Obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect. p= (Round to two decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. Are the requirements for constructing a confidence satisfied? O A. Yes, the requirements for constructing a confidence interval are satisfied. O B. No, the requirement that the sample size is no more than 5% of the population is not satisfied. O C. No, the requirement that each trial be independent is not satisfied. O D. No, the requirement that np(1-p) is greater than 10 is not satisfied. (c) Construct a 95% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect. The 95% confidence interval is ( | ). (Round to three decimal places as needed.)
(d) Interpret the confidence interval. Which statement below best interprets the interval?
O A. We are 95% confident that the interval does not contain the true value of p.
O B. There is a 95% chance that the true value of p will not fall in the interval.
C. There is a 95% chance that the true value of p will fall in the interval.
O D. We are 95% confident that the interval contains the true value of p.
Transcribed Image Text:(d) Interpret the confidence interval. Which statement below best interprets the interval? O A. We are 95% confident that the interval does not contain the true value of p. O B. There is a 95% chance that the true value of p will not fall in the interval. C. There is a 95% chance that the true value of p will fall in the interval. O D. We are 95% confident that the interval contains the true value of p.
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