Suppose that New Mexico lawmakers survey 160 randomly selected registered voters to see if theyfavor stricter laws regarding motorcycle helmet use for riders over the age of 17. The lawmakersbelieve the population proportion in favor of changing the law is 6% (based on historical data andprevious votes). Which of the following conditions for the Central Limit theorem arenotmet?
A)Relative to the population, the sample is not large enough.
B)The population proportion is too small and will not have enough expected successes.
C)The population proportion is too small and will not have enough expected failures.
D)None of these, all the conditions of the CLT are met.

Question

Quizplus · Accepted Answer

The expected number of successes is np = 160 * 0.06 = 9.6, which is less than 10, indicating that the condition for a sufficient number of expected successes is not met.

Suppose That New Mexico Lawmakers Survey 160 Randomly Selected Registered