Question

A researcher in the field of women’s studies wondered if women recall emotional events better than men. She decides to gather some data on the matter. An experiment is conducted in which 10 mean and 10 women were randomly selected and shown 20 highly emotional photographs and then asked to recall them 1 week after the showing. The following recall data are obtained. Scores are indicated as percent correctly recalled.

Using α =0.05 _1tail answer the questions below.

Men	Women
74	87
87	90
64	80
76	77
85	91
86	95
84	89
78	92
77	90
80	94

1. What is the alternative hypothesis?                               ["Women recall emotional events better than men", "Women recall emotional events worse than men", "Women recall emotional events the same as men", "Women do not recall emotional events better than men"]      

2. What is the null hypothesis?                               ["Women recall emotional events better than men", "Women recall emotional events worse than men", "Women recall emotional events the same as men", "Women do not recall emotional events better than men"]      

3. What inferential test is being conducted?                               ["single sample z test", "single sample t test", "independent group t test", "paired group t test"]      

4. What is the obtained statistic?                               ["3.27", "-3.27", "-0.08", "0.08", "14.65", "-14.65", "2.19", "-2.19"]      

5. What is the critical value?                               ["1.734", "2.101", "1.725", "2.086"]      

6. What is your decision?                               ["reject the null hypothesis", "reject the alternative hypothesis", "accept the null hypothesis", "accept the alternative hypothesis", "retain the null hypothesis"]      

7. What is your conclusion?                               ["We conclude that women recall emotional events better than men", "We conclude that women do not recall emotional events better than men"]      

8. What is your effect size?                               ["large", "medium", "small", "Not applicable as we failed to reject the null hypothesis"]      

9. What error might you be making?                            ["type II", "type I"]      

Answer 1

First we calculate the pooled estimator of s.d and then substitute that into the test statistic formula. The critical value is obtained from STATKEY(image attached for reference). We compare the test statistic with the critical value and make the necessary the conclusion.