Test the claim that the proportion of people who own cats is smaller than 30% at…

Test the claim that the proportion of people who own cats is
smaller than 30% at the 0.01 significance level.

Place Order

The null and alternative hypothesis would be:

H0:μ=0.3H0:μ=0.3
H1:μ≠0.3H1:μ≠0.3

H0:μ≥0.3H0:μ≥0.3
H1:μ<0.3H1:μ<0.3

H0:p≤0.3H0:p≤0.3
H1:p>0.3H1:p>0.3

H0:μ≤0.3H0:μ≤0.3
H1:μ>0.3H1:μ>0.3

H0:p=0.3H0:p=0.3
H1:p≠0.3H1:p≠0.3

H0:p≥0.3H0:p≥0.3
H1:p<0.3H1:p<0.3

The test is:

left-tailed

right-tailed

two-tailed

Based on a sample of 100 people, 28% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

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