Suppose a 95% confidence interval for p, the proportion of drivers who admit that they sometimes run red lights when no one is around, is 0.29 to 0.38. Which of the following statements is false? A) A test of H₀: p = 0.3 versus H_a: p ?0.3 would not be rejected using $\alpha$ = 0.05. B) A test of H₀: p = 0.5 versus H_a: p ?0.5 would be rejected using $\alpha$ = 0.05. C) It is plausible that about 37% of all drivers would admit that they sometimes run red lights when no one is around. D) It is plausible that a majority of all drivers would admit that they sometimes run red lights when no one is around.

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Quizplus · Accepted Answer

The 95% confidence interval for p is from 0.29 to 0.38, which means we are 95% confident that the true proportion of drivers who admit they sometimes run red lights when no one is around falls within this range. Since the interval does not include 0.5 (or 50%), it is not plausible that a majority (more than 50%) of all drivers would admit to this behavior.

Suppose a 95% Confidence Interval for P, the Proportion of Drivers