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A 95% confidence interval is to be constructed to the proportion p of subscriber

ID: 3233590 • Letter: A

Question

A 95% confidence interval is to be constructed to the proportion p of subscribers a to a magazine who favor an increase in estimate addition, hypothesis test (using a 0.05 advertising in return for price. In performed. significance level) concerning the a ofp will be Initially, it is thought that the data will be random sample of 1000 subscribers. Subsequently, use of obtained from a simple is Which of the following is a simple random sample 2000 size? result from this increase in the sample A) A decrease in the width of the confidence interval B) A decrease in the probability of a Type I error in the hypothesis te A decrease in the probability of a Type II error in the hypothesis test D) An increase in the power of the hypothesis E) A decrease in the standard deviation of the sampling distribution of the sample proportion

Explanation / Answer

1. Type one error is not affected by sample size so it will not change with increase in sample size.

Hence answer is B. The decrease in Type I error in the hypothesis test

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