Find a 95 Percent Confidence Interval for the Difference Between $\hat { p } _ { 1 }$

question 115

Essay

Find a 95 percent confidence interval for the difference between the proportions of older and younger drivers who have tickets,where $\hat { p } _ { 1 }$
= .275, $\hat { p } _ { 2 }$
= .25,n₁ = 1000,n₂ = 1000.

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Definitions:

Dependent-Sample T Test

A statistical procedure used to compare the means of two related groups to determine if there is a statistically significant difference between them.

Null Hypothesis

A statistical hypothesis asserting that there is no significant difference or effect.

Critical Value

A threshold value used in hypothesis testing, which the test statistic must exceed in order to reject the null hypothesis.

Obtained Value

The actual value achieved from a statistical test, used to compare against the critical value to determine statistical significance.