Question: Got milk? In November 2001, the Ag Globe Trotter newsletter reported that \(90 \%\) of adults drink milk. A regional farmers' organization planning a new marketing campaign across its multicounty area polls a random sample of 750 adults living there. In this sample, 657 people said that they drink milk. Do these responses provide strong evidence that the \(90 \%\) figure is not accurate for this region? Correct the mistakes you find in a student's attempt to test an appropriate hypothesis. \(\mathrm{H}_{0}: \hat{p}=0.9\)

\(\mathrm{H}_{\mathrm{A}}: \hat{p}<0.9\)

SRS, \(750>10\) \(\frac{657}{750}=0.876 ; \quad S D(\hat{p})=\sqrt{\frac{(0.88)(0.12)}{750}}=0.012\)

\(z=\frac{0.876-0.94}{0.012}=-2\)

\(P=P(z>-2)=0.977\)

There is more than a \(97 \%\) chance that the stated percentage is correct for this region.

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