## Related questions with answers

(a) state the null and alternative hypotheses and identify which represents the claim, (b) describe type I and type II errors for a hypothesis test of the claim, (c) explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed, (d) explain how you should interpret a decision that rejects the null hypothesis, and (e) explain how you should interpret a decision that fails to reject the null hypothesis. A polling organization reports that the proportion of U.S. adults who have volunteered their time or donated money to help clean up the environment is 65%.

Solution

Verified(a) Given claim: proportion $p$ is $65\%=0.65$.

The null always states the opposite of the alternative hypothesis.

The null hypothesis always includes the given value (thus the used signs are $=$, $\leq$ or $\geq$, according to the given claim):

$H_0:p=0.65$

$H_a:p\neq 0.65$

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