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0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 sis in words would be: tion of people in a sample that prefers Trydint gum is 0.9. tion of all people that prefer Trydint gum is 0.9 ge of people that prefer Trydint gum is 0.9. tion of all people that prefer Trydint gum is less than 0.9. e of people that prefer Trydint gum is not 0.9. tion of all people that prefer Trydint gum is greater than 0.9. tion of people in a sample that prefer Trydint gum is not 0.9

0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 sis in words would be: tion of people in a sample that prefers Trydint gum is 0.9. tion of all people that prefer Trydint gum is 0.9 ge of people that prefer Trydint gum is 0.9. tion of all people that prefer Trydint gum is less than 0.9. e of people that prefer Trydint gum is not 0.9. tion of all people that prefer Trydint gum is greater than 0.9. tion of people in a sample that prefer Trydint gum is not 0.9

MATLAB: An Introduction with Applications
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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## Hypothesis Testing for Trydint Bubble-Gum Company The "Trydint" bubble-gum company claims that 9 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90% confidence level. ### Formulating Hypotheses #### The Null and Alternative Hypotheses in Symbols: - **\( H_0 \): \( p = 0.9 \)** \( \text{(The proportion of people who prefer Trydint gum is 0.9)} \) - **\( H_1 \): \( p \neq 0.9 \)** \( \text{(The proportion of people who prefer Trydint gum is not 0.9)} \) ### The Null Hypothesis in Words: - The proportion of all people that prefer Trydint gum is 0.9. ### Sample Data Based on a sample of 440 people, 375 said they prefer "Trydint" gum to "Eklypse." ### Calculations - **Point Estimate**: - The point estimate is calculated as the sample proportion, which is \( \hat{p} = \frac{375}{440} \). Please enter the point estimate to 4 decimal places. - **90% Confidence Interval**: - Calculate the confidence interval using the formula for the margin of error for proportions. - Enter the lower and upper bounds of the confidence interval to 4 decimal places. ### Decision Making Based on the calculated confidence interval and point estimate: - **Fail to reject the null hypothesis** if 0.9 falls within the confidence interval. - **Reject the null hypothesis** if 0.9 does not fall within the confidence interval. ### Instructions 1. Calculate the point estimate. 2. Determine the 90% confidence interval. 3. Based on the confidence interval, decide whether to reject or fail to reject the null hypothesis. #### Note: For further assistance, there are resources like video tutorials and instructor guidance available. Submit your answers through the provided fields on the platform.
Transcribed Image Text:## Hypothesis Testing for Trydint Bubble-Gum Company The "Trydint" bubble-gum company claims that 9 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90% confidence level. ### Formulating Hypotheses #### The Null and Alternative Hypotheses in Symbols: - **\( H_0 \): \( p = 0.9 \)** \( \text{(The proportion of people who prefer Trydint gum is 0.9)} \) - **\( H_1 \): \( p \neq 0.9 \)** \( \text{(The proportion of people who prefer Trydint gum is not 0.9)} \) ### The Null Hypothesis in Words: - The proportion of all people that prefer Trydint gum is 0.9. ### Sample Data Based on a sample of 440 people, 375 said they prefer "Trydint" gum to "Eklypse." ### Calculations - **Point Estimate**: - The point estimate is calculated as the sample proportion, which is \( \hat{p} = \frac{375}{440} \). Please enter the point estimate to 4 decimal places. - **90% Confidence Interval**: - Calculate the confidence interval using the formula for the margin of error for proportions. - Enter the lower and upper bounds of the confidence interval to 4 decimal places. ### Decision Making Based on the calculated confidence interval and point estimate: - **Fail to reject the null hypothesis** if 0.9 falls within the confidence interval. - **Reject the null hypothesis** if 0.9 does not fall within the confidence interval. ### Instructions 1. Calculate the point estimate. 2. Determine the 90% confidence interval. 3. Based on the confidence interval, decide whether to reject or fail to reject the null hypothesis. #### Note: For further assistance, there are resources like video tutorials and instructor guidance available. Submit your answers through the provided fields on the platform.
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