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 200 adults in that​ country, 76​% think that healthy children should be required to be vaccinated. At α=0.05​, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below. Let p be the population proportion of​ successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated.    ​(a) Find the critical​ value(s) and identify the rejection​ region(s).       z0=______ (b) 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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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 200 adults in that​ country, 76​% think that healthy children should be required to be vaccinated. At α=0.05​, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.
Let p be the population proportion of​ successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. 
 
​(a) Find the critical​ value(s) and identify the rejection​ region(s).
      z0=______
(b) 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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Step 1

Given Information:

Claim:  less than 80​% of adults in a certain country think that healthy children should be required to be vaccinated

Sample size n=200

Sample proportion p^=0.76

Significance level α=0.05

 

 

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