6
QuizMultiple Choice

Estimating the Difference between Two Population Proportions — Unit test

Question 6 • CA-Statistics and Probability B

A random sample of high school seniors was surveyed about whether they drive to school. Of the 75 seniors surveyed, 64 stated they drive to school. Which of the following is the 90% confidence interval for p, the proportion of all high school seniors who drive to school?Find the z-table here.

Answer
A
(0.80, 0.91)
B
(0.79, 0.92)
C
(0.77, 0.93)
D
(0.75. 0.96)

Explanation

The sample proportion is 64/75 ≈ 0.853. For a 90% confidence interval, use z ≈ 1.645; the standard error is √(0.853 × 0.147/75) ≈ 0.041. The margin of error is 1.645 × 0.041 ≈ 0.067, giving 0.853 ± 0.067 ≈ (0.79, 0.92), which matches choice B, (0.79, 0.92).

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