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 Kala 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 87 people in my market category who had been interviewed, 19 said they would buy a subscription, and of the 108 people in Kala's market category, 29 said they would buy a subscription. Assuming that these data came from independent, random samples, can we conclude, at the 0.05 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 Kala's market category who would a subscription? 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.) Eloudy (a) State the null hypothesis Ho and the alternative hypothesis H₁. HO H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 Explanation Check -- ▬▬▬▬ O Search i - H 1x X 09 a S 2 00 0=0 OSO ☐☐ <口 Р Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use P
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 Kala 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 87 people in my market category who had been interviewed, 19 said they would buy a subscription, and of the 108 people in Kala's market category, 29 said they would buy a subscription. Assuming that these data came from independent, random samples, can we conclude, at the 0.05 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 Kala's market category who would a subscription? 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.) Eloudy (a) State the null hypothesis Ho and the alternative hypothesis H₁. HO H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 Explanation Check -- ▬▬▬▬ O Search i - H 1x X 09 a S 2 00 0=0 OSO ☐☐ <口 Р Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use P
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![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 Kala 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 87 people in my market category who had been interviewed, 19 said they would buy a subscription, and of the 108 people in Kala's market category, 29 said they would buy a subscription.
Assuming that these data came from independent, random samples, can we conclude, at the 0.05 level of significance, that the proportion \( p_1 \) of all mall shoppers in my market category who would buy a subscription is less than the proportion \( p_2 \) of all mall shoppers in Kala's market category who would buy a subscription?
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 \( H_0 \) and the alternative hypothesis \( H_1 \).
- \( H_0 \): [ ]
- \( H_1 \): [ ]
(b) Determine the type of test statistic to use.
- [Choose one]
(c) Find the value of the test statistic. (Round to three or more decimal places.)
- [ ]
Explanation | Check
**Note:** Two graphics representing statistical symbols (\( \mu, \sigma, p \)) and notations for mean and variance (\( \bar{x}, s \)) are displayed to assist with hypothesis formulation and test statistic selection.
© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab310076-c445-4f02-aa72-05faca788dac%2Fd8d39939-96dc-4d27-9305-aebd7f0b8f2f%2Ffjqp11_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 Kala 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 87 people in my market category who had been interviewed, 19 said they would buy a subscription, and of the 108 people in Kala's market category, 29 said they would buy a subscription.
Assuming that these data came from independent, random samples, can we conclude, at the 0.05 level of significance, that the proportion \( p_1 \) of all mall shoppers in my market category who would buy a subscription is less than the proportion \( p_2 \) of all mall shoppers in Kala's market category who would buy a subscription?
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 \( H_0 \) and the alternative hypothesis \( H_1 \).
- \( H_0 \): [ ]
- \( H_1 \): [ ]
(b) Determine the type of test statistic to use.
- [Choose one]
(c) Find the value of the test statistic. (Round to three or more decimal places.)
- [ ]
Explanation | Check
**Note:** Two graphics representing statistical symbols (\( \mu, \sigma, p \)) and notations for mean and variance (\( \bar{x}, s \)) are displayed to assist with hypothesis formulation and test statistic selection.
© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
Transcribed Image Text:### Hypothesis Test for the Difference of Population Proportions
**Perform a
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