Question

The Gallup Poll asked 1,015 U.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 437 said they supported such a tax. does the survey provide evidence that less than 46% of U.S. adults favor an internet sales tax? Use the alpha= 0.05 level. State hypotheses Verify conditions are met Find the value of the test statistic Identify the P-value State decision Conclusion in non-statistical terms

Answer 1

Given : n=1015 , X=437 , The estimate of the sample proportion is ,

Now , and

Therefore , use the one sample proportion Z-test.

Hypothesis: Vs  

The test statistic is ,

The p-value is ,

p-value=

; From standard normal distribution table

Decision : Here ,p-value=0.0294 < 0.05

Therefore , reject Ho

Conclusion : Hence , there is sufficient evidence to support the claim that the less than 46% of U.S. adults favor an internet sales tax.