SOLUTION: #19
Test the claim that the proportion of people who own cats is larger than 90% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μX
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-> SOLUTION: #19
Test the claim that the proportion of people who own cats is larger than 90% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μX
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Question 1120081: #19
Test the claim that the proportion of people who own cats is larger than 90% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μ≥0.9 and Ha:μ<0.9
or
H0:p≥0.9 and Ha:p<0.9
or
H0:p≤0.9 and Ha:p>0.9
or
H0:p=0.9 and Ha:p≠0.9
or
H0:μ≤0.9 and Ha:μ>0.9
or
H0:μ=0.9 and Ha:μ≠0.9
The test is:
left-tailed or right-tailed or two-tailed
Based on a sample of 500 people, 97% owned cats
The p-value is: (to 2 decimals)
Based on this we:
Fail to reject the null hypothesis or Reject the null hypothesis
You can put this solution on YOUR website! This is a one-tailed test which claims:
Ho: The percentage is <= 0.9
Ha: The percentage is > 0.9, so if Ho is rejected, we say the true proportion is >0.9.
Test statistic is z=(phat-p)/sqrt(p*(1-p)/n)
Critical value is z>1.645 for alpha of 0.05
z=0.07/sqrt(0.9*0.01/500)
z=0.07/0/013=5.22
Reject Ho
p-value is 0.00 to two decimal places
