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 4755 patients treated with the drug, 134 developed the adverse reaction of nausea.

Construct a 90% 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 as needed.)

c) Construct the confidence interval.

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(Round to three decimal places as needed.)

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

O A. 90% of sample proportions will fall between the lower bound and the upper bound.

• B. One has 90% confidence that the sample proportion is equal to the population proportion.

O C. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

• D. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound

Which of the following is NOT true when testing a claim about a​proportion?

A. If you want to test a claim about population​ proportions, use the​ P-value method or the classical method of hypothesis testing.

B. When testing claims about population​ proportions, the traditional method and the​ P-value method are equivalent in the sense that they always yield the same result.

C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.

D. Both the traditional method and​ P-value method use the same standard deviation based on the claimed proportion​ p, but the confidence interval uses an estimated standard deviation based on the sample proportion ModifyingAbove p with caretp.

The Genetics and IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceiving a boy. As of this writing, 291 babies were born to parents using the YSORT method and 239 of them were boys. 

(a) What is the best point estimate of the population proportion of boys born to parents using the YSORT method? 

(b) Use the sample data to construct a 99% confidence interval estimate of the proportion of boys born to parents using the YSORT method. 

(c) Based on the results, does the YSORT method appear to be effective? Why or why not?