Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level. The null and alternative hypothesis would be: H0:μM≥μFH0:μM≥μF H1:μM<μFH1:μM<μF H0:μM≤μFH0:μM≤μF H1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μF H1:μM≠μFH1:μM≠μF H0:pM≥pFH0:pM≥pF H1:pMpFH1:pM>pF The test is:   left-tailed two-tailed right-tailed Based on a sample of 60 men, 40% owned cats Based on a sample of 40 women, 50% owned cats test statistic =     [three decimal accuracy]     p-value =     [three decimal accuracy] Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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5. Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

The null and alternative hypothesis would be:

H0:μM≥μFH0:μM≥μF
H1:μM<μFH1:μM<μF
H0:μM≤μFH0:μM≤μF
H1:μM>μFH1:μM>μF
H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF
H0:pM≥pFH0:pM≥pF
H1:pM<pFH1:pM<pF
H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF
H0:pM≤pFH0:pM≤pF
H1:pM>pFH1:pM>pF



The test is:

 

left-tailed
two-tailed
right-tailed



Based on a sample of 60 men, 40% owned cats
Based on a sample of 40 women, 50% owned cats



test statistic =  
  [three decimal accuracy]
   
p-value =  
  [three decimal accuracy]



Based on this we:

  • Reject the null hypothesis
  • Fail to reject the null hypothesis
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