QUESTION IMAGE
Question
1 multiple choice 4 points select the most appropriate response. the purpose of statistical inference is to provide information about the sample based upon information obtained from the population population based upon information obtained from a sample 2 multiple choice 4 points determine the point estimate. a survey of 400 non - fatal accidents showed that 189 involved the use of a cell phone. determine a point estimate for p, the population proportion of non - fatal accidents that involved the use of a cell phone. 0.527 0.896 0.473 0.321
Step1: Recall the formula for point estimate of population proportion
The formula for the point estimate of the population proportion \(p\) is \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes in the sample and \(n\) is the sample size.
Step2: Identify the values of \(x\) and \(n\)
In this problem, \(x = 189\) (number of non - fatal accidents involving cell phone use) and \(n=400\) (total number of non - fatal accidents surveyed).
Step3: Calculate \(\hat{p}\)
Substitute \(x = 189\) and \(n = 400\) into the formula \(\hat{p}=\frac{x}{n}\). So, \(\hat{p}=\frac{189}{400}=0.4725\approx0.473\)
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For question 1: The purpose of statistical inference is to provide information about the population based upon information obtained from a sample.
For question 2: 0.473.