4 TrueFalse The Wilsonadjusted sample proportion of success

4. True/False

The Wilson-adjusted sample proportion of success is biased toward 0

The Wilson-adjusted sample proportion of success is appropriate for small samples

A P-value is the probability that the null hypothesis is true

If a 95% confidence interval for the difference in two means includes 0, then a two-tailed two-sample t-test using the same data would reject the null hypothesis at = 0.05.

Solution

False: The Wilson-adjusted sample proportion of success is biased toward 0

True:The Wilson-adjusted sample proportion of success is appropriate for small samples

False: the p-value is the probability of getting test statistic as extreme as we get when null hypothesis is true.

False: If a 95% confidence interval for the difference in two means includes 0, then two-tailed two-sample t-test using the same data would accept the null hypothesis of no difference at = 0.05.