The contingency table shows the results of a random sample of former smokers by

Question

The contingency table shows the results of a random sample of former smokers by the number of times they tried to quit smoking before they were habit-free and gender. At alpha = 0.05, can you conclude that the number of times they tried to quit before they were habit-free is related to gender? Perform the indicated chi-square independence test by completing parts (a) through (e) below. (a) Identify the claim and state H_0 and H_a. H_0: The number of times former smokers tried to quit H_a: The number of times former smokers tried to quit Which hypothesis is the claim? Null hypothesis Alternative hypothesis (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. d.f. = Find the critical value. chi^2_0 = (Round to three decimal places as needed.) Which region below is the correct rejection region? A. chi^2 lessthanorequalto chi^2_0 B. chi^2 > chi^2_0 C. chi^2 greaterthanorequalto chi^2_0 D. chi^2

Explanation / Answer

a) Ho: Independent of gender

Ha: Not independent of gender

Alternative Hypothesis is the claim.

b) D.f. = (r - 1)*(c - 1) = (2 - 1)*(3 - 1) = 2

Critical value = 5.991

Rejection region: Option B is correct.

c) The statistical software output for this is:

Chi-Square test:

Hence,

Test statistic = 0.041

Do not reject Ho, there is not sufficient evidence to conclude that the number of times a person tried stop smoking is related to gender.

Statistic DF Value P-value Chi-square 2 0.041276699 0.9796

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