Question

A medical researcher says that less than 81% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 400 adults in that country, 77% think that healthy children should be required to be vaccinated. At $\alpha = 0.05$, is there enough evidence to support the researcher's claim? Complete parts (a) through (d) below. Ha: p= D. $H_0: p \ge 81$ Ha: p< E. $H_0: p > $ Ha: p$\le$ Ha: p < .81 (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. $Z_0 = $ (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. The rejection regions are z < and z > B. The rejection region is z < C. The rejection region is z > D. The rejection region is z < (c) Find the standardized test statistic z. z = (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Fail to reject the null hypothesis. There is not enough evidence to support the researcher's claim. Ha: p < F. $H_0: p \le $ Ha: p >

          A medical researcher says that less than 81% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 400 adults in that country, 77% think that healthy children should be required to be vaccinated. At $\alpha = 0.05$, is there enough evidence to support the researcher's claim? Complete parts (a) through (d) below.
Ha: p=
D. $H_0: p \ge 81$
Ha: p<
E. $H_0: p > $
Ha: p$\le$
Ha: p < .81
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
$Z_0 = $
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
A. The rejection regions are z <  and z > 
B. The rejection region is z < 
C. The rejection region is z > 
D. The rejection region is z < 
(c) Find the standardized test statistic z.
z = 
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
Fail to reject the null hypothesis. There is not enough evidence to support the researcher's claim.
Ha: p < 
F. $H_0: p \le $
Ha: p >

$A medical researcher says that less than 81% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 400 adults in that country, 77% think that healthy children should be required to be vaccinated. At $\alpha = 0.05$, is there enough evidence to support the researcher's claim? Complete parts (a) through (d) below. Ha: p= D. H0: p ≥ 81 Ha: p< E. H0: p > Ha: p≤ Ha: p < .81 (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Z0 = (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. The rejection regions are z < and z > B. The rejection region is z < C. The rejection region is z > D. The rejection region is z < (c) Find the standardized test statistic z. z = (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Fail to reject the null hypothesis. There is not enough evidence to support the researcher's claim. Ha: p < F. H0: p ≤ Ha: p >$

Added by Faith M.

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