Question

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.

Answer 1

`X= 189` represent the number of non-fatal accidents involved the use of a cell phone

`n=400` represent the sample size

And we want to find a point estimate for p, the population proportion of non-fatal accidents that involved the use of a cell phone and we can use the following formula:

`\hat p=(X)/(n)`

And replacing we got:

`\hat p=(189)/(400)=0.4725`

Explanation:

For this problem we have the following info given:

`X= 189` represent the number of non-fatal accidents involved the use of a cell phone

`n=400` represent the sample size

And we want to find a point estimate for p, the population proportion of non-fatal accidents that involved the use of a cell phone and we can use the following formula:

`\hat p=(X)/(n)`

And replacing we got:

`\hat p=(189)/(400)=0.4725`