time pctremember late yes late yes early yes late yes late yes late no late no early yes early yes early no late yes late yes early no late no early no late no late no late yes late yes late no early yes early no late no early no late no early no late no late no early no early yes late no late no late yes late yes late yes late no early no early no early yes late no late no late yes late no early no early no late yes late no late no late no early no early no early no late yes late no early yes late no late yes early yes late no early yes late yes late no late no late yes late yes late yes early yes late yes late yes late yes early no late yes late no early no early no late no early no late no late yes early no early yes late yes late no late yes

2.Based on the proportions in #1, does it appear that the proportion remembering at least 60% of the items is different between those who performed the activity in the morning and those who performed the activity in the evening? Briefly explain.

3. (3 points) State the null and alternative hypotheses in statistical notation. Define the notation in the context of the problem.

4. (2 points) Report the expected counts for all cells in the table. Are the expected counts "large enough" for conclusions from the chi-square test to be valid to the population? Briefly explain.

5. (2 points) Report the chi-square statistic with degrees of freedom and the p-value here.

6. (4 points) Answer the question of interest in the context of the problem.

7. (5 points) Report and interpret the 95% confidence interval for the difference in the population proportion remembering at least 60% of the items between those who did the activity in the morning (labeled "early" in the data set) and those who did the activity in the evening (labeled "late" in the data set): (pearly - plate)