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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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