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 ch independence test by completing parts (a) through (e) below. Gender Male Female Number of times tried to quit before habit-free 2-3 256 141 1 270 148 4 or more 150 81 (a) Identify the claim and state Ho and H, Ho: The number of times former smokers tried to quit (1) H The number of times former smokers tried to quit (2) Which hypothesis is the claim? O Null hypothesis O Alternative hypothesis (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. df. = Find the critical value. (Round to three decimal places as needed.) Which region below is the correct rejection region? OA. r>r OB. rsr Oc Pr OD. r

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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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 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
independence test by completing parts (a) through (e) below.
3.
Gender
Male
Number of times tried to quit before habit-free a
2-3
256
4 or more
150
1
270
Female
148
141
81
(a) Identify the claim and state H, and H,.
Hn: The number of times former smokers tried to quit (1)
H,: The number of times former smokers tried to quit (2)
Which hypothesis is the claim?
O 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.
(Round to three decimal places as needed.)
Which region below is the correct rejection region?
O A. X > x%
O B. xsx?
OC. x2x3
O D. x? <x%
(c) Calculate the test statistic. If convenient, use technology.
x =
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
(3)
Ho
(e) Interpret the decision in the context of the original claim.
There (4)
enough evidence at the 10% level of significance to conclude that number of times former smokers tried to quit (5)
(1) O is uniformly distributed.
O is the same as expected.
O differs from the expected.
(2) O is independent of gender. O is dependent on gender.
O is uniformly distributed.
O differs from the expected.
(5) O is the same as expected.
O differs from the expected.
is independent of gender.
is uniformly distributed.
(3) O Fail to reject
O Reject
(4) O is not
O is dependent on gender.
O is
is dependent on gender.
O is independent of gender.
O is the same as expected.
6:14 PM
Tuno bore to coarch
0000
Transcribed Image Text:Print 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 independence test by completing parts (a) through (e) below. 3. Gender Male Number of times tried to quit before habit-free a 2-3 256 4 or more 150 1 270 Female 148 141 81 (a) Identify the claim and state H, and H,. Hn: The number of times former smokers tried to quit (1) H,: The number of times former smokers tried to quit (2) Which hypothesis is the claim? O 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. (Round to three decimal places as needed.) Which region below is the correct rejection region? O A. X > x% O B. xsx? OC. x2x3 O D. x? <x% (c) Calculate the test statistic. If convenient, use technology. x = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. (3) Ho (e) Interpret the decision in the context of the original claim. There (4) enough evidence at the 10% level of significance to conclude that number of times former smokers tried to quit (5) (1) O is uniformly distributed. O is the same as expected. O differs from the expected. (2) O is independent of gender. O is dependent on gender. O is uniformly distributed. O differs from the expected. (5) O is the same as expected. O differs from the expected. is independent of gender. is uniformly distributed. (3) O Fail to reject O Reject (4) O is not O is dependent on gender. O is is dependent on gender. O is independent of gender. O is the same as expected. 6:14 PM Tuno bore to coarch 0000
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