Question

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. ​,

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 ​%.