2.If in fact there has been no change in the atheism index in the countries listed in Table 4, in how many of

those countries would you expect to detect a change (at a significance level of 0.05) simply by chance?

Hint: Look in the textbook index under Type 1 error.

Where is the table 4?

3.Suppose you're hired by the local government to estimate the proportion of residents that attend a religious

service on a weekly basis. According to the guidelines, the estimate must have a margin of error no greater than

1% with 95% confidence. You have no idea what to expect for \(p\). How many people would you have to sample to

ensure that you are within the guidelines?

Hint: Refer to your plot of the relationship between \(p\) and margin of error. Do not use the data set to answer

this question.

why p-value at 0.5 has the greatest margin of error.