Question

1. * (½ point) The Pearson Chi-square test is used to test hypotheses about what?
   1. Differences in proportions between two groups
   2. Differences in proportions between more than two groups
   3. Association between two categorical variables
   4. All of the above

2. * (½ point) The paired t test is used to test hypotheses about what?
   1. Differences in proportions between two groups
   2. Differences in means between individuals
   3. Means of differences within individuals
   4. All of the above

3. * (½ point) If one performs four hypothesis tests at the α=0.05 significance level using data from four different locations, and with respect to each test, the null hypothesis is actually true. The probability of rejecting the null hypothesis for at least one of these tests is:
   1. less than 0.05
   2. equal to 0.05
   3. greater than 0.05
   4. cannot tell from the given information
   5. not always approximate a particular distribution

Answer 1

Pearson Chi square test is used test independence or association of two categorical variables. Option C

Paired t test used to test the means of difference within individuals. This relates to dependent samples. Option C

We know that alpha is probability of rejecting Ho given its true and is 0.05. Therefore prob of rejecting Ho for atleast one of these tests is greater than 0.05. Option C