(d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) (e) Can we conclude that the proportion of mall shoppers in my market category who would buy a subscription is less than the proportion in Ivanna's market category who would? O Yes O No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Need help with d and e 

=
Carry y
formulas.)
Hypothesis test for the difference of population proportions
termediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
0
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Ho: P₁ P2
0
H₁ P₁
P2
(b) Determine the type of test statistic to use.
Z
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(c) Find the value of the test statistic. (Round to three or more decimal places.)
-0.813
(d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.)
0
(e) Can we conclude that the proportion of mall shoppers in my market category who would buy a
subscription is less than the proportion in Ivanna's market category who would?
OYes O No
Explanation
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2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
#9
Transcribed Image Text:= Carry y formulas.) Hypothesis test for the difference of population proportions termediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 F tly cloudy Ho: P₁ P2 0 H₁ P₁ P2 (b) Determine the type of test statistic to use. Z < (c) Find the value of the test statistic. (Round to three or more decimal places.) -0.813 (d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) 0 (e) Can we conclude that the proportion of mall shoppers in my market category who would buy a subscription is less than the proportion in Ivanna's market category who would? OYes O No Explanation Check Search μ X ㅁ #0 O 0=0 OSO X S □<口 Ś Р <Q 믐 3/5 >O Melvin Español ? 0 Aa 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center #9
Hypothesis test for the difference of population proportions
Several months ago while shopping, I was interviewed to see whether or not I'd be interested in signing up for a subscription to a yoga app. I fall into the
category of people who have a membership at a local gym, and guessed that, like me, many people in that category would not be interested in the app. My
friend Ivanna falls in the category of people who do not have a membership at a local gym, and I was thinking that she might like a subscription to the app.
After being interviewed, I looked at the interviewer's results. Of the 98 people in my market category who had been interviewed, 17 said they would buy a
subscription, and of the 120 people in Ivanna's market category, 26 said they would buy a subscription.
Assuming that these data came from independent, random samples, can we conclude, at the 0.10 level of significance, that the proportion p₁ of all mall
shoppers in my market category who would buy a subscription is less than the proportion p₂ of all mall shoppers in Ivanna's market category who would a
subscription?
73°F
Partly cloudy
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
0
Ho: P₁ P₂
H₁: P₁ P2
(b) Determine the type of test statistic to use.
Z
=
(c) Find the value of the test statistic. (Round to three or more decimal places.)
-0.813
Explanation
Check
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2022 McGraw Hill LLC. All Rights Reserved. Terms of Use
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Transcribed Image Text:Hypothesis test for the difference of population proportions Several months ago while shopping, I was interviewed to see whether or not I'd be interested in signing up for a subscription to a yoga app. I fall into the category of people who have a membership at a local gym, and guessed that, like me, many people in that category would not be interested in the app. My friend Ivanna falls in the category of people who do not have a membership at a local gym, and I was thinking that she might like a subscription to the app. After being interviewed, I looked at the interviewer's results. Of the 98 people in my market category who had been interviewed, 17 said they would buy a subscription, and of the 120 people in Ivanna's market category, 26 said they would buy a subscription. Assuming that these data came from independent, random samples, can we conclude, at the 0.10 level of significance, that the proportion p₁ of all mall shoppers in my market category who would buy a subscription is less than the proportion p₂ of all mall shoppers in Ivanna's market category who would a subscription? 73°F Partly cloudy Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 Ho: P₁ P₂ H₁: P₁ P2 (b) Determine the type of test statistic to use. Z = (c) Find the value of the test statistic. (Round to three or more decimal places.) -0.813 Explanation Check O Search 0 C 3 |x X 8 ロ=ロ ロメロ O S 00 < P 3/5 <Q 010 OSO ☐☐ > 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy C
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