Exercise a Random Sample of 150 Men Found That 88

question 58

Essay

Exercise A random sample of 150 men found that 88 of the men exercise regularly, while a random sample of 200 women found that 130 of the women exercise regularly.
a. Based on the results, construct and interpret a 95% confidence interval for the difference in the proportions of women and men who exercise regularly.
b. A friend says that she believes that a higher proportion of women than men exercise regularly. Does your confidence interval support this conclusion? Explain.

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Definitions:

Petty Cash

A small amount of cash on hand that is used for paying minor or incidental expenses in a business.

Free Goods

Items or services available in abundance without direct cost, such as air or sunlight, not requiring scarce resources for their production.

Scarce Resources

Refers to the limited availability of inputs—such as labor, capital, and raw materials—used in the production of goods and services.

Economist

A professional who studies the production, distribution, and consumption of goods and services, often analyzing economic issues and trends.