Problem
Score on last try: 0 of 1 pts. See Details for more. \( > \) Next question \( \quad \rightleftarrows \) Get a similar question You can retry this question Computing the Standardize Test Statistic You are testing the claim that the proportion of men who own cats is larger than th who own cats. Assume the null hypothesis is that the population proportions are eq You sample 180 men, and \( 10 \% \) own cats. You sample 60 women, and \( 60 \% \) own cats. Find the test statistic, rounded to two decimal places. Submit Question Type here to search
Solution
Step 1 ：\(p_{m} = \frac{0.10}{1}\)
Step 2 ：\(p_{w}= \frac{0.60}{1}\)
Step 3 ：\(n_{m} = 180, n_{w} = 60\)
Step 4 ：\(p_c = \frac{0.10 * 180 + 0.60 * 60 }{180 + 60}\)
Step 5 ：\(q_c = 1 - p_c\)
Step 6 ：\(z = \frac{(p_{m} - p_{w}) - 0}{\sqrt{\dfrac{p_c * q_c}{n_{m}} + \dfrac{p_c * q_c}{n_{w}}}}\)
Step 7 ：\(z \approx -20.58\)
