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 2 Variable B 1 37 43 2 44 64 a. Choose the null and alternative hypotheses. O Hạ: The two variables are independent; Ha: The two variables are dependent. O Hạ: 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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c. Find the p-value.
O 0.05 Picture p-value < 0.10
O 0.025 Picture p-value < 0.05
O 0.01Picture p-value < 0.025
O p-value < 0.01
O pvalue Picture 0.10
d. What is your conclusion?
O Reject Hg, we can conclude that the two categories are dependent.
O Do not reject Hg, we can conclude that the two categories are dependent.
O Reject He, We cannot conclude that the two categories are dependent.
O Do not reject Hg, we cannot conclude that the two categories are dependent.
Transcribed Image Text:c. Find the p-value. O 0.05 Picture p-value < 0.10 O 0.025 Picture p-value < 0.05 O 0.01Picture p-value < 0.025 O p-value < 0.01 O pvalue Picture 0.10 d. What is your conclusion? O Reject Hg, we can conclude that the two categories are dependent. O Do not reject Hg, we can conclude that the two categories are dependent. O Reject He, We cannot conclude that the two categories are dependent. O Do not reject Hg, we cannot conclude that the two categories are dependent.
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
1
37
43
2
44
64
a. Choose the null and alternative hypotheses.
O Hg: The two variables are independent.; H4: 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: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 1 37 43 2 44 64 a. Choose the null and alternative hypotheses. O Hg: The two variables are independent.; H4: 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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