Question

In: Statistics and Probability

A study wants to compare the percentage of Facebook users between males and females in a...

A study wants to compare the percentage of Facebook users between males and females in a county. A sample of 95 males shows that 46 of them use Facebook. A sample of 90 females shows that 48 of them use Facebook.

(a) What are the populations?

(b) At α = 0.01 level of significance, is there evidence that the two population proportions are different?

(c) Identify the type of error for your conclusion. If it is type I error, find the probability of error and probability of confidence.

Solutions

Expert Solution

(A)

Populations are: Males and females

(B)

Conclusion: There is no evidence to conclude that the two population proportions are different.

(c)

Since we fail to reject the null hypothesis so type II error is possible.


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