college major depend on whether you are an athlete or not? A survey asks a group of college students about their majors. It also groups the students by whether they are athletes or not. The data are recorded in the contingency table below, and the first few steps of a chi-square test of independence are summarized. (The observed values are above the expected values.) Arts Humanities Sciences Row Total 22 13.7 33 Athlete 9.5 9.8 20 Non-Athlete 28.3 24 19.5 24 20.2 68 Column Total 42 29 30 101 • Ho: Being an athlete does not affect college major (they are independent). Ha: Being an athlete affects college major (they are dependent). 0.01 • The test statistic, x Critical value: x o1 12.800. 9.210.

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Does college major depend on whether you are an athlete or not? A survey asks a group of college students about their
majors. It also groups the students by whether they are athletes or not. The data are recorded in the contingency table
below, and the first few steps of a chi-square test of independence are summarized. (The observed values are above the
expected values.)
Arts Humanities Sciences Row Total
22
13.7
9.5
9.8
Athlete
20
28.3
24
19.5
24
20.2
68
Non-Athlete
Column Total
42
29
30
101
Ho: Being an athlete does not affect college major (they are independent).
Ha: Being an athlete affects college major (they are dependent).
0.01
• The test statistic, x6
• Critical value: x o1
12.800.
9.210.
Which is the correct conclusion of our independence test, at the 1% significance level? Select all that apply.
Select all that apply:
Transcribed Image Text:Does college major depend on whether you are an athlete or not? A survey asks a group of college students about their majors. It also groups the students by whether they are athletes or not. The data are recorded in the contingency table below, and the first few steps of a chi-square test of independence are summarized. (The observed values are above the expected values.) Arts Humanities Sciences Row Total 22 13.7 9.5 9.8 Athlete 20 28.3 24 19.5 24 20.2 68 Non-Athlete Column Total 42 29 30 101 Ho: Being an athlete does not affect college major (they are independent). Ha: Being an athlete affects college major (they are dependent). 0.01 • The test statistic, x6 • Critical value: x o1 12.800. 9.210. Which is the correct conclusion of our independence test, at the 1% significance level? Select all that apply. Select all that apply:
Which is the correct conclusion of our independence test, at the 1% significance level? Select all that apply.
Select all that apply:
We should reject Họ.
O We should not reject Ho.
At the 1% significance level, there is not sufficient evidence to conclude that being an athlete affects college
major.
At the 1% significance level. there is sufficient evidence to conclude that being an athlete affects college major.
Transcribed Image Text:Which is the correct conclusion of our independence test, at the 1% significance level? Select all that apply. Select all that apply: We should reject Họ. O We should not reject Ho. At the 1% significance level, there is not sufficient evidence to conclude that being an athlete affects college major. At the 1% significance level. there is sufficient evidence to conclude that being an athlete affects college major.
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