Hypothesis Test It is conjectured that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62. A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62 at the a = .10 level of significance. 24 What is the p-value of the test? 0.0582 0.0073 0.0732 0.0248 0.2483 D Using a significance level a-.10, and the p-value in question 24 what would your decision be? Fail to reject the null hypothesis Accept the null hypothesis Reject the null hypothesis 00000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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Hypothesis Test
It is conjectured that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of
all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62.
A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other
108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at
their home is less than 0.62 at the a = .10 level of significance.
24
What is the p-value of the test?
0.0582
0.0073
0.0732
0.0248
0.2483
25
Using a significance level a = .10, and the p-value in question 24 what would your decision be?
Fail to reject the null hypothesis
Accept the null hypothesis
Reject the null hypothesis
14-
Transcribed Image Text:Hypothesis Test It is conjectured that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62. A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62 at the a = .10 level of significance. 24 What is the p-value of the test? 0.0582 0.0073 0.0732 0.0248 0.2483 25 Using a significance level a = .10, and the p-value in question 24 what would your decision be? Fail to reject the null hypothesis Accept the null hypothesis Reject the null hypothesis 14-
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