Test the claim that the proportion of men who own cats is smaller than 20% at the .10 significance l

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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Test the claim that the proportion of men who own cats is smaller than 20% at the .10 significance level.

The null and alternative hypothesis would be:
  • H0:P=0.2
    H1:P>0.2
  • H0:U=0.2
    H1:U>0.2
  • H0:U=0.2
    H1:U≠0.2
  • H0:P=0.2
    H1:P<0.2
  • H0:P=0.2
    H1:P≠0.2
  • H0:U=0.2
    H1:U<0.2


Based on a sample of 45 people, 13% owned cats

The test statistic is  (to 3 decimals)

The critical value is  (to 2 decimals)

Based on this we
  • Fail to reject the null hypothesis
  • Reject the null hypothesis
 
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