Question
A research firm conducted a poll in March 2020 among a random national sample of 497 adults. In the poll, 95 Americans approve of the
A research firm conducted a poll in March 2020 among a random national sample of 497 adults. In the poll, 95 Americans approve of the president's management of the crisis. At 1% significance level, test the claim that the proportion of the Americans that approve the president's management of the crisis is different from 20%.
1) Procedure: One proportion? Z Hypothesis Test? One variance Hypothesis Test? One mean Z Hypothesis Test? One mean T Hypothesis Test?
2) Assumptions: (select everything that applies)
- The conditions np and nq are both greather than or equal to 5 are satisfied
- Population standard deviation is unknown
- Sample size is greater than 30
- Normal population
- Simple random sample
- Population standard deviation is known
- The conditions for a binomial distribution are satisfied
3) Step 1. Hypotheses Set-Up:
H0: ? p? ? = _____ | , where ? p? ? is the population mean? population proportion? population variance? and the units are 100%? subjects? |
Ha: ? ? p ? < > _______ | , and the test is Right-Tail? Two-Tail? Left-Tail? |
4) Step 2. The significance level = ______ %
5) Step 3. Compute the value of the test statistic: t? z? f? ? = ______ (Round the answer to 2 decimal places)
6) Step 4. Testing Procedure: (Round the critical value to 2 decimal places and the P-value to 4 decimal places)
CVA | PVA |
Provide the critical value(s) for the Rejection Region (Type DNE if a CV is not needed): | Compute the P-value of the test statistic: |
left CV is _____ and right CV is ______ | P-value is _______ |
7) Step 5. Decision:
CVA | PVA |
Is the test statistic in the rejection region? | Is the P-value less than the significance level? |
no? yes? | yes? no? |
8) Conclusion: Do not reject the null hypothesis in favor of the alternative? Reject the null hypothesis in favor of the alternative?
9) Step 6. Interpretation:
At 1% significance level we: DO NOT? DO? have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
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