A sample of 157 men was taken and it was found that 41 owned cats. A sample of 153 women was taken and it was found that 69 owned cats. Test the claim that the proportion of men who own cats is smaller than than the proportion of women who own cats at the .025 significance level. Claim: Select an answer u 1 > u 2 p 1 ≠ p 2 p 1 < p 2 p 1 = p 2 u 1 < u 2 u 1 ≠ u 2 u 1 ≥ u 2 u 1 = u 2 u 1 ≤ u 2 p 1 ≥ p 2 p 1 ≤ p 2 p 1 > p 2 which corresponds to Select an answer H1: p 1 > p 2 H0: p 1 = p 2 H1: u 1 > u 2 H1: u 1 ≠ u 2 H0: p 1 ≠ p 2 H1: p 1 < p 2 H0: u 1 ≤ u 2 H0: p 1 ≤ p 2 H1: p 1 ≠ p 2 H1: u 1 < u 2 Opposite: Select an answer p 1 ≠ p 2 u 1 < u 2 u 1 ≥ u 2 p 1 < p 2 p 1 = p 2 u 1 ≤ u 2 u 1 = u 2 u 1 ≠ u 2 p 1 > p 2 p 1 ≤ p 2 u 1 > u 2 p 1 ≥ p 2 which corresponds to Select an answer H1: p 1 ≠ p 2 H0: p 1 ≤ p 2 H1: p 1 < p 2 H1: u 1 ≤ u 2 H0: u 1 > u 2 H0: u 1 ≠ u 2 H1: u 1 = u 2 H1: u 1 ≥ u 2 H0: p 1 ≠ p 2 H0: p 1 = p 2 H1: p 1 > p 2 The test is: Select an answer left-tailed right-tailed two-tailed The test statistic is: z=z= (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: Select an answer Fail to reject the null hypothesis Reject the null hypothesis Cannot determine anything Accept the null hypothesis Conclusion There Select an answer does not does appear to be enough evidence to support the claim that the proportion of men who own cats is smaller than than the proportion of women who own cats.
A sample of 157 men was taken and it was found that 41 owned cats.
A sample of 153 women was taken and it was found that 69 owned cats.
Test the claim that the proportion of men who own cats is smaller than than the proportion of women who own cats at the .025 significance level.
Claim: Select an answer u 1 > u 2 p 1 ≠ p 2 p 1 < p 2 p 1 = p 2 u 1 < u 2 u 1 ≠ u 2 u 1 ≥ u 2 u 1 = u 2 u 1 ≤ u 2 p 1 ≥ p 2 p 1 ≤ p 2 p 1 > p 2 which corresponds to Select an answer H1: p 1 > p 2 H0: p 1 = p 2 H1: u 1 > u 2 H1: u 1 ≠ u 2 H0: p 1 ≠ p 2 H1: p 1 < p 2 H0: u 1 ≤ u 2 H0: p 1 ≤ p 2 H1: p 1 ≠ p 2 H1: u 1 < u 2
Opposite: Select an answer p 1 ≠ p 2 u 1 < u 2 u 1 ≥ u 2 p 1 < p 2 p 1 = p 2 u 1 ≤ u 2 u 1 = u 2 u 1 ≠ u 2 p 1 > p 2 p 1 ≤ p 2 u 1 > u 2 p 1 ≥ p 2 which corresponds to Select an answer H1: p 1 ≠ p 2 H0: p 1 ≤ p 2 H1: p 1 < p 2 H1: u 1 ≤ u 2 H0: u 1 > u 2 H0: u 1 ≠ u 2 H1: u 1 = u 2 H1: u 1 ≥ u 2 H0: p 1 ≠ p 2 H0: p 1 = p 2 H1: p 1 > p 2
The test is: Select an answer left-tailed right-tailed two-tailed
The test statistic is: z=z= (to 2 decimals)
The p-value is: (to 4 decimals)
Based on this we: Select an answer Fail to reject the null hypothesis Reject the null hypothesis Cannot determine anything Accept the null hypothesis
Conclusion There Select an answer does not does appear to be enough evidence to support the claim that the proportion of men who own cats is smaller than than the proportion of women who own cats.
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