In: Statistics and Probability
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.
(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.