A medical researcher says that less than 72% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 70% think that healthy children should be required to be vaccinated. At a = 0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (Round to two decimal places as needed.) A. H₂:pz 0.72 OB. Hop H₂:pz OC. Hops H₂:p> H₂:p< 0.72 OD. Ho: P OE. Ho: P H₂:p= OF. Hop H₂:p H₂:ps (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. -2.33 (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.) OA The rejection region is <2<. OB. The rejection region is z>. OC. The rejection regions are z< D. The rejection region is z< -2.33. (c) Find the standardized test statistic z z = -0.77 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. the null hypothesis. There enough evidence to the researcher's claim. and z>-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim
A medical researcher says that less than 72% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 70% think that healthy children should be required to be
vaccinated. At a = 0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below.
(Round to two decimal places as needed.)
A. Ho: pz 0.72
OC. Ho: ps
OB. Ho: P<
H₂:pz
H:p< 0.72
H:p>
OD. Ho:p>
OF Hoi Do
OE. Ho: P
H₁: p=
H:ps
H₂:p*
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
%= -2.33
(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.)
OA. The rejection region is <<
OB. The rejection region is z>
OC. The rejection regions are z<
D. The rejection region is z< -2.33
(c) Find the standardized test statistic z.
z = -0.77
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
the null hypothesis. There
enough evidence to
the researcher's claim.
and z>
Transcribed Image Text:A medical researcher says that less than 72% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 70% think that healthy children should be required to be vaccinated. At a = 0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (Round to two decimal places as needed.) A. Ho: pz 0.72 OC. Ho: ps OB. Ho: P< H₂:pz H:p< 0.72 H:p> OD. Ho:p> OF Hoi Do OE. Ho: P H₁: p= H:ps H₂:p* (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. %= -2.33 (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.) OA. The rejection region is << OB. The rejection region is z> OC. The rejection regions are z< D. The rejection region is z< -2.33 (c) Find the standardized test statistic z. z = -0.77 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. the null hypothesis. There enough evidence to the researcher's claim. and z>
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