1. Household Income and College Plans Exercise 3.93 introduces a survey of a representative sample of 920 US teens (ages 13 to 17). One of the questions asked whether the teen planned to attend a four-year college. The household income of the participants was also recorded, and the results are shown in Table 7.33. Test to see whether there is an association between household income and plans for a four-year college.

Household income and college plans

Household income	4-year college	Not 4-Yr college	Total
less than $30,000	88	122	210
$30,000 to $75,000	170	156	326
More than $75,000	276	108	384
Total	534	386	920

Answer the following:

1. Select the correct hypotheses (both H_o and H_a)

Group of answer choices

1. H_o: There is an association between household income and plans for four-year college.

2. H_o: There is not an association between household income and plans for four-year college.

3. H_a: There is an association between household income and plans for four-year college.

4. H_a: There is not an association between household income and plans for four-year college.

2. According to the 2 distribution table, what is the critical value? Assume =5%.

3. What is the expected value for the number of students who plan to attend a 4-year college, if they come from a household with an income less than $30,000? Round your answer to four decimal places.

4. What is the value of the test statistic? Round your answer to four decimal places.

5. Can you conclude there is an association between household income and plans for a four-year college? Why?

Group of answer choices

1. No, because we did not reject the null hypothesis

2. Yes, because we rejected the null hypothesis

3. Yes, because we did not reject the null hypothesis

4. No, because we rejected the null hypothesis