A medical researcher says that less than 80% 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, 76% 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. When you know the number of successes x, the sample size n, and the population proportion p, it can be easier to use the formula shown below to find the standardized test statistic when using a z-test for a population proportion p. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the blank to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not _______%. B._______% of adults in the country think that healthy children should be required to be vaccinated. C. Less than _______% of adults in the country think that healthy children should be required to be vaccinated. D. More than _______% of adults in the country think that healthy children should be required to be vaccinated. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic z. z = ______. (d) 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 80% 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, 76% 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.
When you know the number of successes x, the
(a) Identify the claim and state H0 and Ha.
Identify the claim in this scenario. Select the correct choice below and fill in the blank to complete your choice. (Type an integer or a decimal. Do not round.)
A. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not _______%.
B._______% of adults in the country think that healthy children should be required to be vaccinated.
C. Less than _______% of adults in the country think that healthy children should be required to be vaccinated.
D. More than _______% of adults in the country think that healthy children should be required to be vaccinated.
(b) Find the critical value(s) and identify the rejection region(s).
(c) Find the standardized test statistic z.
z = ______.
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
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