State Conclusions to Hypothesis Tests
-A candidate for state representative of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
A) There is not sufficient evidence to reject the claim $p \geq 0.5$.
B) There is sufficient evidence to reject the claim $p \geq 0.5$.
C) There is sufficient evidence to support the claim $p \geq 0.5$.
D) There is not sufficient evidence to support the claim $p \geq 0.5$.

Question

Quizplus · Accepted Answer

Failing to reject the null hypothesis means there isn't enough evidence against the null hypothesis. In this context, the null hypothesis likely represents the claim $p \geq 0.5$, so failing to reject it means there's not sufficient evidence to refute the candidate's claim of being favored by at least half of the voters.

State Conclusions to Hypothesis Tests -A Candidate for State Representative p≥0.5p \geq 0.5p≥0.5

State Conclusions to Hypothesis Tests
-A Candidate for State Representative $p \geq 0.5$