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Interval for population proportion and interpretation

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In a trial of 185 patients who were given 10-mg of a drug daily, 48 reported headaches as a side effect.
A) Obtain a point estimate population proportion of patients who received 10-mg of a drug daily and reported headaches as a side effect.
p̂= _____________? Round to two decimal places as needed

B) Verify that the requirements for constructing a confidence interval for about p are satisfied?
a) Yes the requirements for constructing a confidence are satisfied
b) No the requirement that the sample size is no more than 5% of the population is not satisfied
c) No the requirement that np̂(1-p̂) is greater than 10 is not satisfied.
d) No the requirement that each trial be independent is not satisfied

C) Contract a 90% confidence interval for the population proportion of patients who receive the drug and report headaches as a side effect. _____, ______, round to three decimal places as needed

D) Interpret the confidence level? Which statement best interprets the confidence level>
a) We are 90% confident that the interval contains the true value of p.
b) There is a 90% chance that the true value of p will not fall within the interval.
c) There is a 90% chance that the true value of p will fall within the interval.
d) We are 90% confident that the interval does not contains the true value of p.

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Solution Preview

Answer:

In a trial of 185 patients who were given 10-mg of a drug daily, 48 reported headaches as a side effect.
A) Obtain a point estimate population proportion of patients who received 10-mg of a drug daily and reported headaches as a side effect.
p̂= 48/185=0.26_____________? Round to two decimal places as needed

B) Verify that the requirements for ...

Solution Summary

The solution gives detailed steps on building a confidence interval for population proportion and then interpreting its meaning.

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