The National Survey of Adolescent Health interviewed many thousand teens (grades 7 to 12). One question asked was "What do you think are the chances you will be married in next ten years?" Here is two-way table of the responses by sex:
|
|
Female
|
Male
|
|
Almost no chance
|
119
|
103
|
|
Some chance, but probably not
|
150
|
171
|
|
A 50-50 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 two-way table.
3. Determine the chi-square() 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?