Question

Suppose a sample of 1537 Americans over 46 is drawn. Of these people, 1245 don't smoke. Using the data, estimate the proportion of Americans over 46 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answer 1

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

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

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

`\hat p = (292)/(1537)= 0.190`

Explanation:

For this case we deine the parameter of interest p as the proportion of Americans over 46 who smoke.

We know the following info provided:

1245 people don't smoke

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

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

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

`\hat p = (292)/(1537)= 0.190`