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 Carmen 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 81 people in my market category who had been interviewed, 18 said they would buy a subscription, and of the 117 people in Carmen's market category, 30 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, of all mall shoppers in my market category who would buy a subscription is less than the proportion p₂ of all mall shoppers in Carmen'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.) "F Ostly cloudy. (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ :0 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.) Explanation 144Hz Check -- O Search H X 74 ローロ a S 2 OSO O Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 02 E
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 Carmen 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 81 people in my market category who had been interviewed, 18 said they would buy a subscription, and of the 117 people in Carmen's market category, 30 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, of all mall shoppers in my market category who would buy a subscription is less than the proportion p₂ of all mall shoppers in Carmen'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.) "F Ostly cloudy. (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ :0 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.) Explanation 144Hz Check -- O Search H X 74 ローロ a S 2 OSO O Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 02 E
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
. 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 \( H_1 \)](#).
\[ H_0 : \square \]
\[ H_1 : \square \]
(b) Determine the type of [test statistic](#) to use.
\[ (\text{Choose one}) \]
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \square \]
### Diagram Explanation
On the right side of the text, there is a box containing mathematical symbols typically used in statistical analysis, like \(\mu\), \(\sigma\), \(p\), \(X\), and \(\overline{x}\). Each symbol is associated with various test models used in hypothesis testing, indicated by icons representing inequality or equations.
---
This description will guide users through hypothesis testing using the provided scenario while clarifying the steps and symbols involved.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d0f5607-440e-4fc9-b3b1-9026504c2552%2F78c094e2-2bf0-4b24-96be-655d0360dfb1%2Ftzakvc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Text Transcription for Educational Website
---
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 Carmen 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 81 people in my market category who had been interviewed, 18 said they would buy a subscription, and of the 117 people in Carmen's market category, 30 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 Carmen'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 \( H_1 \)](#).
\[ H_0 : \square \]
\[ H_1 : \square \]
(b) Determine the type of [test statistic](#) to use.
\[ (\text{Choose one}) \]
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \square \]
### Diagram Explanation
On the right side of the text, there is a box containing mathematical symbols typically used in statistical analysis, like \(\mu\), \(\sigma\), \(p\), \(X\), and \(\overline{x}\). Each symbol is associated with various test models used in hypothesis testing, indicated by icons representing inequality or equations.
---
This description will guide users through hypothesis testing using the provided scenario while clarifying the steps and symbols involved.
![**Perform a One-Tailed Test**
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 \( H_1 \).
- \( H_0: \) [Input box]
- \( H_1: \) [Input box]
---
**(b)** Determine the type of test statistic to use.
- [Dropdown menu with options]
---
**(c)** Find the value of the test statistic. (Round to three or more decimal places.)
- [Input box]
---
**(d)** Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
- [Input box]
---
**(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 Carmen’s market category who would?
- [Radio buttons] Yes / No
---
**Additional Information:**
- Panel with symbols including: \(\mu, \sigma, p, \hat{p}, X, S\), and others for mathematical notation.
- Buttons: Explanation, Check
**© 2022 McGraw Hill LLC. All Rights Reserved.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d0f5607-440e-4fc9-b3b1-9026504c2552%2F78c094e2-2bf0-4b24-96be-655d0360dfb1%2F2twxa98_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Perform a One-Tailed Test**
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 \( H_1 \).
- \( H_0: \) [Input box]
- \( H_1: \) [Input box]
---
**(b)** Determine the type of test statistic to use.
- [Dropdown menu with options]
---
**(c)** Find the value of the test statistic. (Round to three or more decimal places.)
- [Input box]
---
**(d)** Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
- [Input box]
---
**(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 Carmen’s market category who would?
- [Radio buttons] Yes / No
---
**Additional Information:**
- Panel with symbols including: \(\mu, \sigma, p, \hat{p}, X, S\), and others for mathematical notation.
- Buttons: Explanation, Check
**© 2022 McGraw Hill LLC. All Rights Reserved.**
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