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Please help. Test the claim that the proportion of people who own cats is larger than 50% at the 0.05 significance level. The null and

Please help.

Test the claim that the proportion of people who own cats is larger than 50% at the 0.05 significance level. The null and alternative hypothesis would be:

  • H0:p=0.5H0:p=0.5 H1:p0.5H1:p0.5
  • H0:=0.5H0:=0.5 H1:0.5H1:0.5
  • H0:p=0.5H0:p=0.5 H1:p<0.5H1:p<0.5
  • H0:0.5H0:0.5 H1:>0.5H1:>0.5
  • H0:p=0.5H0:p=0.5 H1:p>0.5H1:p>0.5
  • H0:0.5H0:0.5 H1:<0.5H1:<0.5

The test is:

two-tailed left-tailed right-tailed Based on a sample of 500 people, 56% owned cats The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals) Based on this we:

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

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