Mathematics, 09.07.2020 05:01 calebhoover03

We are to estimate the confidence interval for a population proportion p, based on two samples A and B of sizes 100 and 200, respectively. Both samples have the same standard deviations. Compare the lengths of the 95% confidence interval based on A to the interval based on B. A. The length of the confidence interval based on A is the same as the length of the confidence interval based on B since the standard deviations for both samples are the same.
B. The length of the confidence interval based on A is larger than the length of the confidence interval based on B since SE for the sample A is larger than SE for the sample
C. The length of the confidence interval based on A is larger than the length of the confidence interval based on B since SE for the sample A is less than SE for the sample B.
D. The length of the confidence interval based on A is less than the length of the confidence interval based on B since SE of the sample A is larger than SE of the sample B.
E. The length of the confidence interval based on A is less than the length of the confidence interval based on B since SE of the sample A is less than the size of the sample B.

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