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:
= | , where is the and the units are |
, and the test is |
Step 2. The significance level %
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.
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