Construct a 95% Confidence Interval For $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$

question 61

Multiple Choice

Construct a 95% confidence interval for $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ for a survey that finds 30% of 240 randomly selected males and 41% of 200 randomly selected females are opposed to the death penalty.

• A)(-0.200, -0.021)
• B)(-1.532, 1.342)
• C)(-0.561, 0.651)
• D)(-1.324, 1.512)

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Definitions:

Variance

A statistical measurement of the dispersion or spread of a set of data points, indicating how much the individual data points differ from the mean.

Normally Distributed

Relates to a distribution that follows a normal distribution, with data symmetrically distributed around the mean.

Gasoline Prices

The cost per unit volume of gasoline, which can fluctuate based on several factors including crude oil prices, demand, taxes, and regulations.

Continuous Probability Distribution

A function that describes the probability of a continuous random variable falling within a certain range of values.