The Numbers of Successes and the Sample Sizes Are Given $\mathrm { x } _ { 1 } = 27 , \mathrm { n } _ { 1 } = 38 , \mathrm { x } _ { 2 } = 17 , \mathrm { n } _ { 2 } = 38 ; 80 \%$

question 78

Multiple Choice

The numbers of successes and the sample sizes are given for independent simple random samples from two populations.Use the two-proportions plus-four z-interval procedure to obtain the specified confidence interval.
- $\mathrm { x } _ { 1 } = 27 , \mathrm { n } _ { 1 } = 38 , \mathrm { x } _ { 2 } = 17 , \mathrm { n } _ { 2 } = 38 ; 80 \%$ confidence interval

• A)\(0.127\) to \(0.373\)
• B) \(0.113\) to \(0.387\)
• C) \(0.072\) to \(0.428\)
• D) \(0.099\) to \(0.401\)

---

Definitions:

Total Variable Costs

The costs that vary directly with the level of production or output.

Total Fixed Costs

The sum of all consistent, non-variable expenses a business incurs, such as rent, salaries, and insurance, regardless of production level.

Total Costs

Total costs are the sum of all expenses incurred in the production of goods or services, encompassing both fixed and variable costs.

Total Variable Costs

The sum of expenses that vary directly with the level of production or output, including costs like materials and labor.