QUESTION IMAGE
Question
ch 22* the proportion of drivers who use seat belts depends on characteristics such as age, sex, and ethnicity. as part of a broader study, investigators observed a random sample of 117 female hispanic drivers in boston. suppose that in fact 60% of all female hispanic drivers in the boston area wear seat belts. in repeated samples, the sample proportion would follow approximately a normal distribution with mean 0.006 0.6 70.2.
Step1: Recall the property of sample proportion mean
The mean of the sampling distribution of the sample proportion \(\hat{p}\) is equal to the population proportion \(p\).
Let \(p = 0.6\) (the proportion of all female Hispanic drivers in the Boston area who wear seat - belts).
Step2: Apply the formula
For a sample proportion \(\hat{p}\) from a sample of size \(n\) (here \(n = 117\)), the mean of the sampling distribution of \(\hat{p}\) is \(\mu_{\hat{p}}=p\)
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The mean of the sampling distribution of the sample proportion is \(0.6\), so the answer is \(0.6\)