Question

In: Statistics and Probability

The Republicans claim that more than 70% of Americans think the federal government has done a...

The Republicans claim that more than 70% of Americans think the federal government has done a good job with the health crisis. The Democrats think otherwise, and want to challenge this claim in hopes of making political points against the Republicans in the upcoming election.

To do this, 300 Americans were surveyed, and 204 said that they think the federal government has done a good job with the health crisis.

The Federal Election Commission (FEC) requires any political claim be shown to be accurate at an α of .05.

A. Provide the appropriate hypothesis test criteria for the challenge:

HO: p

  • =

HA: p

  • <

  • >

B. Using the data from the sample, answer the five fill-in-the-blank questions, and make the correct hypothesis test conclusion.

Reject Ho if the test statistic of    is
  • >

  • <

the critical value of   
Reject Ho if the p-value of    is < the value of α of   

Based on these results, we should:

  • Reject Ho

  • Accept Ho

C. Who wins this political argument, statistically; the Democrats or the Republicans?

Solutions

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