Question

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2 : Suppose a sample of 1373 people is drawn. Of these people, 576 passed out at G forces greater than 6. Using the data, estimate the proportion of people who pass out at more than 6 Gs. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answer 1

We want to estimate the population proportion of people who passed out at G forces greater than
`p` and for this case the best estimator is given by:

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

And replacing we got:

`\hat p =(576)/(1373)= 0.420`

So then the proportion of people who pass out at more than 6Gs is 0.420 or 42.0%

Explanation:

For this case we have the following info given:

X= 576 represent the number of people who passed out at G forces greater than 6

n= 1373 represent the sample size for this case

We want to estimate the population proportion of people who passed out at G forces greater than
`p` and for this case the best estimator is given by:

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

And replacing we got:

`\hat p =(576)/(1373)= 0.420`

So then the proportion of people who pass out at more than 6Gs is 0.420 or 42.0%