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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.

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Answer:

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

[tex]\hat p =\frac{X}{n}[/tex]

And replacing we got:

[tex]\hat p =\frac{576}{1373}= 0.420[/tex]

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

Step-by-step 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 [tex]p[/tex] and for this case the best estimator is given by:

[tex]\hat p =\frac{X}{n}[/tex]

And replacing we got:

[tex]\hat p =\frac{576}{1373}= 0.420[/tex]

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

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