Males and females were asked about what they would do if they received a $100 bi

Question

Males and females were asked about what they would do if they received a $100 bill by mail, addressed to their neighbor, but wrongly delivered to them. Would they return it to their neighbor? 69 males and 131 females are surveyed. Use this data set to answer the following questions.

a) By the survey data, what are the proportions of males and females who would return the bill to their neighbors? b) Construct 90% confidence intervals for the true proportions of males and females who would return the bill respectively. c) Construct 95% confidence intervals for the true proportions of males and females. Compare the 95% CI with the 90% CI you obtained from b) and discuss how confidence interval affects the width of CI. ***PLEASE ANSWER IN R STUDIO CODE***

Explanation / Answer

a)

Excel formula:

b)

Excel formula:

c) 95% CI:

d) The CI become wider as we increase the probability.

male female Total samples N= 69 131 Total yes 52 119 proportion p= 0.7536 0.9084 SD= 0.4309 0.2885

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