The National Survey of Adolescent Health interviewed many thousand teens (grades 7 to 12). One problem asked was "What do you think are the chances you will be married in next ten years?" Here is twoway table of the responses by sex:

Female

Male

Almost no chance

119

103

Some chance, but probably not

150

171

A 5050 chance

447

512

A good chance

735

710

Almost certain

1174

756

1. State the null and alternative hypothesis to test if the distributions of responses for chance to be married in the next ten years and gender are statistically significant.
2. Find the expected cell counts if the null hypothesis is true and display them in a twoway table.
3. Determine the chisquare() statistic?
4. How many degrees of the freedom are there?
5. Are the differences in distributions of responses for chance to be married in next ten years and gender statistically significant at the α = 5% level? Why?