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 α=0.10​, 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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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 α=0.10​, 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.

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 a = 0.10, 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.
Number of times tried to quit before habit-free e
Gender
1
2-3
4 or more
Male
271
258
150
Female
145
139
79
(a) Identify the claim and state Ho and Ha.
Ho: The number of times former smokers tried to quit
Ha: 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.
X6 = (Round to three decimal places as needed.)
Which region below is the correct rejection region?
O A. x2 < xổ
O B. x2 2x3
Oc. x?sx3
O D. x2 >x3
(c) Calculate the test statistic. If convenient, use technology.
x2 = (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
V Ho.
(e) Interpret the decision in the context of the original claim.
There
V enough evidence at the 10% level of significance to conclude that number of times former smokers tried to quit
Click to select your answer(s).
Transcribed Image Text: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 a = 0.10, 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. Number of times tried to quit before habit-free e Gender 1 2-3 4 or more Male 271 258 150 Female 145 139 79 (a) Identify the claim and state Ho and Ha. Ho: The number of times former smokers tried to quit Ha: 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. X6 = (Round to three decimal places as needed.) Which region below is the correct rejection region? O A. x2 < xổ O B. x2 2x3 Oc. x?sx3 O D. x2 >x3 (c) Calculate the test statistic. If convenient, use technology. x2 = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. V Ho. (e) Interpret the decision in the context of the original claim. There V enough evidence at the 10% level of significance to conclude that number of times former smokers tried to quit Click to select your answer(s).
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