You wish to test the following claim (HaHa) at a significance level of α=0.005       Ho:p1=p2       Ha:p1≠p2 You obtain 48 successes in a sample of size n1=227 from the first population. You obtain 61 successes in a sample of size n2=432from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the test statistic for this sample? (Report answer acc

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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You wish to test the following claim (HaHa) at a significance level of α=0.005

      Ho:p1=p2
      Ha:p1≠p2

You obtain 48 successes in a sample of size n1=227 from the first population. You obtain 61 successes in a sample of size n2=432from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

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