A candidate for state representative of a certain state claims to be favored by at least half of the voters. If ahypothesis 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 $\mathrm { p } \geq 0.5$.
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 $p \geq 0.5$. 10.2 Hypothesis Tests for a Population Proportion1 Explain the logic of hypothesis testing.

Question

A candidate for state representative of a certain state claims to be favored by at least half of the voters. If ahypothesis 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 $\mathrm { p } \geq 0.5$.
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 $p \geq 0.5$. 10.2 Hypothesis Tests for a Population Proportion1 Explain the logic of hypothesis testing.

Quizplus · Accepted Answer

Failing to reject the null hypothesis means there isn't enough evidence against it, not that the alternative hypothesis is proven.

A Candidate for State Representative of a Certain State Claims p≥0.5\mathrm { p } \geq 0.5p≥0.5

A Candidate for State Representative of a Certain State Claims $\mathrm { p } \geq 0.5$