Question

ch 22 as the sample size increases, the sampling distribution of p^ (p - hat) becomes approximately normal.
true
false
question 4 1 pts
ch 22 a news organization previously stated that three of four people believed that the state of the economy was the countrys most significant concern. they would like to test the new data against this prior belief. the most appropriate hypotheses are
h0: p = 0.75, ha: p ≠ 0.75.
h0: p = 0.65, ha: p < 0.65.
. h0: p = 0.65, ha: p > 0.65.
h0: p = 0.75, ha: p > 0.75.

Explanation:

For the first part, according to the Central Limit Theorem for proportions, as the sample size \(n\) increases (\(np\geq5\) and \(n(1 - p)\geq5\)), the sampling distribution of \(\hat{p}\) (the sample proportion) is approximately normal.

For the second part, the null hypothesis \(H_0\) is a statement of no - change or no - difference. The news organization previously had a proportion \(p = \frac{3}{4}=0.75\). The alternative hypothesis \(H_a\) for testing against the prior belief (without any prior indication of direction like “more” or “less” than) is a two - tailed test (\(p
eq0.75\)).

Answer:

For the first question: True.
For the second question: \(H0: p = 0.75, Ha: p
eq0.75\).