Question

You wish to test the following claim (H1) at a significance level of α=0.05.       Ho:p1=p2       H1:p1>p2...

You wish to test the following claim (H1) at a significance level of α=0.05.

      Ho:p1=p2
      H1:p1>p2

You obtain 43.1% successes in a sample of size n1=800from the first population. You obtain 33.1% successes in a sample of size n2=236 from the second population.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

  • less than (or equal to) αα
  • greater than αα

This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null

As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
  • There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
  • The sample data support the claim that the first population proportion is greater than the second population proportion.
  • There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

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