A survey on 1,500 high school seniors who took the SAT and who completed an optional web survey shows that 55% of high school seniors are fairly certain that they will participate in a study abroad program in college. Does this survey provide convincing evidence that the majority (more than 50%) of all high school seniors who take the SAT are fairly certain they will participate in a study abroad program in college?
-The p-value for this study is less than 0.001. Interpret this value in the context of the problem.

Question

Quizplus · Accepted Answer

The p-value indicates the probability of observing a sample statistic as extreme as the one observed (55%) if the null hypothesis (that 50% of all high school seniors are fairly certain) is true. A p-value less than 0.001 suggests that such an extreme result would occur less than 0.1% of the time if the true proportion were 50%, providing strong evidence against the null hypothesis.

A Survey on 1,500 High School Seniors Who Took the SAT