MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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This is practice exam that is not graded. To practice for real exam coming up.

**Exercise 07.37**

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is \( p = 0.17 \) and a simple random sample of 800 households will be selected from the population. Use the z-table.

a. Calculate the sampling distribution of \(\bar{p}\), the proportion of households spending more than $100 per week on groceries.

- \( E(\bar{p}) = \) _____ (to 2 decimals)
- \( \sigma_{\bar{p}} = \) _____ (to 4 decimals)

b. What is the probability that the sample proportion will be within ±0.02 of the population proportion (to 4 decimals)?

c. What is the probability that the sample proportion will be within ±0.02 of the population proportion for a sample of 1600 households (to 4 decimals)?

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Transcribed Image Text:**Exercise 07.37** The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is \( p = 0.17 \) and a simple random sample of 800 households will be selected from the population. Use the z-table. a. Calculate the sampling distribution of \(\bar{p}\), the proportion of households spending more than $100 per week on groceries. - \( E(\bar{p}) = \) _____ (to 2 decimals) - \( \sigma_{\bar{p}} = \) _____ (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.02 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within ±0.02 of the population proportion for a sample of 1600 households (to 4 decimals)? [**Icon Key**] - Save - Submit Assignment for Grading - Check My Work **Question 8 of 8**
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