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In a recent​ year, a poll asked 2962 random adult citizens of a large country how...

In a recent​ year, a poll asked 2962 random adult citizens of a large country how they rated economic conditions. In the​ poll, 26 ​% rated the economy as​ Excellent/Good. A recent media outlet claimed that the percentage of citizens who felt the economy was in​ Excellent/Good shape was 27 ​%.

c)

What is the significance level of the test in​ b? Explain.

The significance level is alpha = ____ because the test is a one sided ? or two sided ? test and is based on a based on a

99

​%

confidence interval.

​,
Math   Statistics-And-Probability   
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Answer #1

Given : Sample size=n=2962

Sample proportion=p=0.26

Population proportion=

Significance level=

Hypothesis : ( Claim)  Vs

Since , the test is two tailed test.

The 99% confidence interval is ,

Here , the value of the population proportion is lies in the given confidence interval.

Therefore , fail to reject the null hypothesis.

Conclusion : Hence , there is sufficient evidence to support the claim that the percentage of citizens who felt the economy was in​ Excellent/Good shape was 27 ​%.

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