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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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### Confidence Interval Calculation for Grocery Spending Survey

In a survey of 151 households, a Food Marketing Institute found that 53 households spend more than $125 a week on groceries. To find the 90% confidence interval for the true proportion of households that spend more than $125 a week on groceries, you need to select the appropriate calculator from the options below:

1. Confidence Interval for a Population Proportion
2. Confidence Interval for a Population Mean Given Statistics
3. Hypothesis Test for a Population Mean Given Statistics
4. Two Independent Sample Means Comparison Given Data
5. Chi-Square Test for Goodness of Fit
6. Chi-Square Test for Independence
7. Two Independent Sample Means Comparison Given Statistics
8. One-Way ANOVA
9. **Confidence Interval for a Population Mean Given Data** (incorrect selection)
10. Hypothesis Test for a Population Proportion
11. Two Dependent Sample Means Comparison Given Data
12. Hypothesis Test for a Population Mean Given Data
13. Two Independent Proportions Comparison

The correct selection should be **Confidence Interval for a Population Proportion**. This choice is essential because the data involves determining a proportion of households fitting a certain spending category.

### Tasks:
a. **Enter your answer as an open-interval** using decimals (not percents) accurate to three decimal places:
- Confidence interval = (____, ____)

b. **Express the same answer as a tri-linear inequality** using decimals (not percents) accurate to three decimal places:
- ____ < p < ____

c. **Express the same answer using the point estimate and margin of error**. Provide your answers as decimals, to three places:
- p = ____ ± ____

This framework guides users through calculating and interpreting the confidence interval accurately.

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