Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, co- formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H: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.) 0 (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? μ |x X 5 *D a X S 00 O=O OSO 020 D
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, co- formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H: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.) 0 (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? μ |x X 5 *D a X S 00 O=O OSO 020 D
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
![**Text Transcription for Educational Website**
Perform a two-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.)
[ ]
(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?
[ ] Yes [ ] No
---
**Graphical Elements Description**
There is a panel on the right displaying symbols often used in statistics, such as μ (mu), σ (sigma), and P. There are also icons representing various types of inequalities and tests (e.g., greater than, less than, equal, not equal). These symbols are likely meant to assist in completing the hypothesis and test statistic selection tasks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab310076-c445-4f02-aa72-05faca788dac%2Fd42e51d6-9c01-4517-8149-c02f4d268a16%2Fiktcbct_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text Transcription for Educational Website**
Perform a two-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.)
[ ]
(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?
[ ] Yes [ ] No
---
**Graphical Elements Description**
There is a panel on the right displaying symbols often used in statistics, such as μ (mu), σ (sigma), and P. There are also icons representing various types of inequalities and tests (e.g., greater than, less than, equal, not equal). These symbols are likely meant to assist in completing the hypothesis and test statistic selection tasks.

Transcribed Image Text:**Hypothesis Testing Exercise on Yoga App Subscription**
In this exercise, we explore a scenario where a market research study was conducted to determine interest in a yoga app subscription. The study compares the subscription likelihood between two groups of mall shoppers: those with a gym membership and those without.
### Scenario
While shopping, you were interviewed to assess your interest in a yoga app. You belong to the group of individuals with a gym membership. A friend without a gym membership, Ivanna, was also part of the study. Results showed:
- In your group (98 people): 17 expressed interest in subscribing.
- In Ivanna’s group (120 people): 26 expressed interest in subscribing.
### Objective
Determine whether the proportion of people in your market category who would buy a subscription (p₁) is less than in Ivanna's category (p₂) using a significance level of 0.10.
### Tasks
**(a) State the Hypotheses**
- **Null Hypothesis (H₀):** p₁ ≥ p₂
- **Alternative Hypothesis (H₁):** p₁ < p₂
**(b) Choose the Test Statistic**
- Choose an appropriate test statistic from provided options.
**(c) Calculate the Test Statistic**
- Compute based on the given data.
**Diagrams**
The image includes a hypothesis testing setup table with slots to fill the hypotheses, choose the test statistic type, and calculate the test statistic value. There is also a control panel offering statistical symbols for selections needed in calculations.
Note: Ensure all calculations are rounded to three or more decimal places as part of standard procedure.
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