You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:p1=p2Ho:p1=p2       Ha:p1<p2Ha:p1<p2 You obtain a...

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You wish to test the following claim (HaHa) at a significancelevel of α=0.10α=0.10.

      Ho:p1=p2Ho:p1=p2
      Ha:p1
You obtain a sample from the first population with 153 successesand 596 failures. You obtain a sample from the second populationwith 71 successes and 174 failures. For this test, you should NOTuse the continuity correction, and you should use the normaldistribution as an approximation for the binomialdistribution.

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

What is the p-value for this sample? (Report answer accurate tofour 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 claimthat the first population proportion is less than the secondpopulation proportion.
  • There is not sufficient evidence to warrant rejection of theclaim that the first population proportion is less than the secondpopulation proportion.
  • The sample data support the claim that the first populationproportion is less than the second population proportion.
  • There is not sufficient sample evidence to support the claimthat the first population proportion is less than the secondpopulation proportion.

Answer & Explanation Solved by verified expert
4.1 Ratings (818 Votes)
The sample proportions here are computed asp1 153 153596 02043p2 71    See Answer
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