The Numbers of Successes and the Sample Sizes Are Given $\mathrm { x } _ { 1 } = 32 , \mathrm { n } _ { 1 } = 80 , \mathrm { x } _ { 2 } = 17 , \mathrm { n } _ { 2 } = 20.99 \%$

question 29

Multiple Choice

The numbers of successes and the sample sizes are given for independent simple random samples from two populations.Use the two-proportions z-interval procedure to obtain the specified confidence interval.
- $\mathrm { x } _ { 1 } = 32 , \mathrm { n } _ { 1 } = 80 , \mathrm { x } _ { 2 } = 17 , \mathrm { n } _ { 2 } = 20.99 \%$ confidence interval

• A)\(- 0.625\) to \(- 0.275\)
• B) \(- 0.649\) to \(- 0.251\)
• C) \(- 0.674\) to \(- 0.226\)
• D) \(- 0.699\) to \(- 0.201\)

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Definitions:

Most Efficient Output

The level of production at which a firm or economy can produce goods at the lowest average cost, maximizing efficiency.

Profit-Maximizing

The process by which a company determines the price and output level that returns the highest profit.

Loss-Minimizing

A strategy or position where a firm aims to reduce its losses to the lowest possible level under adverse conditions, often by adjusting production.

Zero Economic Profits

Zero economic profits occur in a competitive equilibrium when firms earn just enough revenue to cover their total costs, including the opportunity costs.