Given the following contingency table, conduct a test for independence at the 5% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 23 32 47 53 a. Choose the null and alternative hypotheses. O Hg: The two variables are independent.; HẠ: The two variables are dependent. O Họ: The two variables are dependent.; HA: The two variables are independent. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

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Exercise 12-13 Static
Given the following contingency table, conduct a test for independence at the 5% significance level. (You may find it useful to
reference the appropriate table: chi-square table or F table)
Variable A
Variable B
1
23
32
2
47
2
53
a. Choose the null and alternative hypotheses.
O Họ: The two variables are independent.; HẠ: The two variables are dependent.
O Họ: The two variables are dependent.; HA: The two variables are independent.
b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3
decimal places.)
Test statistic
Transcribed Image Text:Exercise 12-13 Static Given the following contingency table, conduct a test for independence at the 5% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 1 23 32 2 47 2 53 a. Choose the null and alternative hypotheses. O Họ: The two variables are independent.; HẠ: The two variables are dependent. O Họ: The two variables are dependent.; HA: The two variables are independent. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
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