Question Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed. ● Arts 11 11 Column Total 22 Provide your answer below: Men Women Test Statistic = Humanities 5 22 27 (a) The null and alternative hypotheses are: Ho: The two variables are independent, so gender does not affect college major. Ha: The two variables are dependent, so gender does affect college major. Sciences 19 9 28 (b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.) Row Total 35 42 77 FEEDBACK MORE INSTRUCTION SUBMIT

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**Question**

**Does college major depend on gender?** Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.

|               | Arts | Humanities | Sciences | Row Total |
|---------------|------|------------|----------|-----------|
| Men           | 11   | 5          | 19       | 35        |
| Women         | 11   | 22         | 9        | 42        |
| Column Total  | 22   | 27         | 28       | 77        |

(a) The null and alternative hypotheses are:

- \( H_0 \): The two variables are independent, so gender does not affect college major.
- \( H_a \): The two variables are dependent, so gender does affect college major.

(b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)

Provide your answer below:

**Test Statistic =** [Blank box for answer]

**FEEDBACK** | **MORE INSTRUCTION** | **SUBMIT**
Transcribed Image Text:**Question** **Does college major depend on gender?** Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed. | | Arts | Humanities | Sciences | Row Total | |---------------|------|------------|----------|-----------| | Men | 11 | 5 | 19 | 35 | | Women | 11 | 22 | 9 | 42 | | Column Total | 22 | 27 | 28 | 77 | (a) The null and alternative hypotheses are: - \( H_0 \): The two variables are independent, so gender does not affect college major. - \( H_a \): The two variables are dependent, so gender does affect college major. (b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.) Provide your answer below: **Test Statistic =** [Blank box for answer] **FEEDBACK** | **MORE INSTRUCTION** | **SUBMIT**
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