Given the following contingency table, conduct a test for independence at the 10% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 37 34 31 58 a. Choose the null and alternative hypotheses. Не: The two variables are independent.; HA: The two variables are dependent. 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 c. Find the p-value. 0.01 s p-value < 0.025 p-value < 0.01 p-value 2 0.10 O 0.05 s p-value < 0.10 O 0.025 s p-value < 0.05 d. What is your conclusion? O Do not reject H9; we cannot conclude that the two categories are dependent. Reject Hg; we cannot conclude that the two categories are dependent. O Do not reject Hg; we can conclude that the two categories are dependent. Reject Hg; we can conclude that the two categories are dependent.

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Given the following contingency table, conduct a test for independence at the 10% significance level. (You
may find it useful to reference the appropriate table: chi-square table or F table)
Variable A
Variable B
37
34
31
58
a. Choose the null and alternative hypotheses.
Не:
The two variables are independent.; HA: The two variables are dependent.
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
c. Find the p-value.
0.01 s p-value < 0.025
p-value < 0.01
p-value 2 0.10
O 0.05 s p-value < 0.10
O 0.025 s p-value < 0.05
Transcribed Image Text:Given the following contingency table, conduct a test for independence at the 10% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 37 34 31 58 a. Choose the null and alternative hypotheses. Не: The two variables are independent.; HA: The two variables are dependent. 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 c. Find the p-value. 0.01 s p-value < 0.025 p-value < 0.01 p-value 2 0.10 O 0.05 s p-value < 0.10 O 0.025 s p-value < 0.05
d. What is your conclusion?
O Do not reject H9; we cannot conclude that the two categories are dependent.
Reject Hg; we cannot conclude that the two categories are dependent.
O Do not reject Hg; we can conclude that the two categories are dependent.
Reject Hg; we can conclude that the two categories are dependent.
Transcribed Image Text:d. What is your conclusion? O Do not reject H9; we cannot conclude that the two categories are dependent. Reject Hg; we cannot conclude that the two categories are dependent. O Do not reject Hg; we can conclude that the two categories are dependent. Reject Hg; we can conclude that the two categories are dependent.
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