Suppose that, on average, U.S. adults get fast food 10 times a week. In a random sample of 41 people, it was found that they ordered fast food an average of 9 times in one week. Assume the population standard deviation is 4.4. Perform a test at a significance level of 5% to determine whether or not the number of times a U.S. adult gets fast food in a week is different from 10.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose that, on average, U.S. adults get fast food 10 times a week. In a random sample of 41 people, it was found that they ordered fast food an average of 9 times in one week. Assume the population standard deviation is 4.4. Perform a test at a significance level of 5% to determine whether or not the number of times a U.S. adult gets fast food in a week is different from 10.

a. Check all of the requirements that are satisfied.
Transcribed Image Text:Suppose that, on average, U.S. adults get fast food 10 times a week. In a random sample of 41 people, it was found that they ordered fast food an average of 9 times in one week. Assume the population standard deviation is 4.4. Perform a test at a significance level of 5% to determine whether or not the number of times a U.S. adult gets fast food in a week is different from 10. a. Check all of the requirements that are satisfied.
### Statistical Analysis: Decision Making in Hypothesis Testing

**g. Critical Value Determination**

- Task: Find the critical value. Round your answer to two decimal places.
- Answer: ______ 

**h. Decision on the Null Hypothesis**

- Choose the correct decision based on your calculations:
  - O Reject the null hypothesis since p-value ≤ α
  - O Do not reject the null hypothesis since p-value > α
  - O Reject the null hypothesis since the test statistic is inside the critical region
  - O Do not reject the null hypothesis since the test statistic is outside the critical region
  
**i. Interpretation of Results**

- Select the statement that best represents the interpretation of the results:
  - O There is sufficient evidence to support the claim that the amount of times U.S. adults order fast food is different than 10.
  - O There is not sufficient evidence to support the claim that the amount of times U.S. adults order fast food is different than 10.
  - O The sample data support the claim that U.S. adults get fast food 10 times a week.
  - O We accept the claim that U.S. adults get fast food 10 times a week.
Transcribed Image Text:### Statistical Analysis: Decision Making in Hypothesis Testing **g. Critical Value Determination** - Task: Find the critical value. Round your answer to two decimal places. - Answer: ______ **h. Decision on the Null Hypothesis** - Choose the correct decision based on your calculations: - O Reject the null hypothesis since p-value ≤ α - O Do not reject the null hypothesis since p-value > α - O Reject the null hypothesis since the test statistic is inside the critical region - O Do not reject the null hypothesis since the test statistic is outside the critical region **i. Interpretation of Results** - Select the statement that best represents the interpretation of the results: - O There is sufficient evidence to support the claim that the amount of times U.S. adults order fast food is different than 10. - O There is not sufficient evidence to support the claim that the amount of times U.S. adults order fast food is different than 10. - O The sample data support the claim that U.S. adults get fast food 10 times a week. - O We accept the claim that U.S. adults get fast food 10 times a week.
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