91Ó°ÊÓ

The statement represents a claim. Write its complement and state which is \(H_{0}\) and which is \(H_{a}\). $$\mu \leq 100$$

The statement represents a claim. Write its complement and state which is \(H_{0}\) and which is \(H_{a}\). $$\mu \neq 48$$

The statement represents a claim. Write its complement and state which is \(H_{0}\) and which is \(H_{a}\). $$p<0.205$$

The statement represents a claim. Write its complement and state which is \(H_{0}\) and which is \(H_{a}\). $$\mu=16$$

The statement represents a claim. Write its complement and state which is \(H_{0}\) and which is \(H_{a}\). $$p \leq 0.4$$

(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 \(65 \%\). (Source: Rasmussen Reports)

(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 car rental company claims that its cars are driven for at least 10,000 miles on an average.

(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 nonprofit consumer organization says that the standard deviation of the fuel economies of its top-rated vehicles for a recent year is no more than \(9.5\) miles per gallon. (Adapted from Consumer Reports)

Find the \(P\)-value for the hypothesis test with the standardized test statistic z. Decide whether to reject \(H_{0}\) for the level of significance \(\alpha\). Left-tailed test, \(z=-1.18, \alpha=0.05\)

Find the \(P\)-value for the hypothesis test with the standardized test statistic z. Decide whether to reject \(H_{0}\) for the level of significance \(\alpha\). Two-tailed test, \(z=2.57, \alpha=0.10\)