MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
Gender
1
2-3
4 or more
Male
272
259
148
Female
144
138
82
(a) Identify the claim and state H, and Ha.
Ho: The number of times former smokers tried to quit
H.: The number of times former smokers tried to quit
Which hypothesis is the claim?
Alternative hypothesis
Null 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.
x =(Round to three decimal places as needed.)
%3D
Which region below is the correct rejection region?
A. x² >x3
B. x? < xổ
c. x? sx3
O D. x? > 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
enough evidence at the 10% level of significance to conclude that number of times former smokers tried to quit
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