Question

ch 23 when comparing proportions from two populations, we make inference about: p1 - p2. p1 + p2. p̂1 - p̂2. p̂1 + p̂2. question 13 1 pts ch 23 in an srs of 103 male and 100 female college students, 61 males and 54 females said that they usually speed on interstate highways by 10 mph or more. what is p̂1 - p̂2? 0.591 - 0.524 0.61 - 0.524 0.592 - 0.54 0.61 - 0.54

Explanation:

Step1: Calculate \(\hat{p}_1\)

The formula for sample proportion \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes and \(n\) is the sample size. For males, \(x_1 = 61\) and \(n_1=103\). So \(\hat{p}_1=\frac{61}{103}\approx0.592\).

Step2: Calculate \(\hat{p}_2\)

For females, \(x_2 = 54\) and \(n_2 = 100\). Using the formula \(\hat{p}=\frac{x}{n}\), we get \(\hat{p}_2=\frac{54}{100}=0.54\).

Step3: Calculate \(\hat{p}_1-\hat{p}_2\)

Substitute the values of \(\hat{p}_1\) and \(\hat{p}_2\) into \(\hat{p}_1 - \hat{p}_2\). So \(\hat{p}_1-\hat{p}_2\approx0.592 - 0.54\).

Answer:

\(0.592 - 0.54\)