In late March 2020, a research firm conducted a national poll of 1055 U.S. adults that asked their views on the federal COVID-19 economic stimulus package. The question was, “As you may know, Congress is considering a new economic stimulus package of at least 2 trillion dollars. Do you favor or oppose Congress passing this legislation?” Of those sampled, 534 favored passage. At the 5% significance level, do the data provide sufficient evidence to conclude that the percentage of U.S. adults that favor the passage is greater than 50%?

Procedure:

Assumptions: (select everything that applies)

Step 1. Hypotheses Set-Up:

 H0:\displaystyle {H}_{{0}}:  = , where is the and the units are
 Ha:\displaystyle {H}_{{a}}:  , and the test is

Step 2. The significance level α=\displaystyle \alpha= %

Step 3. Compute the value of the test statistic: = (Round the answer to 3 decimal places)

Step 4. Testing Procedure: (Round the answers to 3 decimal places)

CVA PVA
Provide the critical value(s) for the Rejection Region: Compute the P-value of the test statistic:
left CV is and right CV is P-value is

Step 5. Decision:

CVA PVA
Is the test statistic in the rejection region? Is the P-value less than the significance level?

Conclusion:

Step 6. Interpretation:

At 5% significance level we have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.