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nlexa [21]
3 years ago
13

A consumer group surveyed 146 airplane travelers after a flight and found that 132 of them would fly that airline again. Find th

e standard error for the sample proportion of airline travelers who would fly on that airline again. Enter your answer as a decimal rounded to three decimal places.
Mathematics
1 answer:
prohojiy [21]3 years ago
5 0

Answer:

\hat p =\frac{X}{n}

And replacing we got:

\hat p =\frac{132}{146}= 0.904

And for this case the standard error assuming normality would be given by:

SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}

And replacing we got:

SE= \sqrt{\frac{0.904*(1-0.904)}{146}}= 0.024

Step-by-step explanation:

For this problem we know the following notation:

n= 146 represent the sample size selected

X= 132 represent the number of airplane travelers who after a flight  would fly that airline again

The estimated proportion for this case would be:

\hat p =\frac{X}{n}

And replacing we got:

\hat p =\frac{132}{146}= 0.904

And for this case the standard error assuming normality would be given by:

SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}

And replacing we got:

SE= \sqrt{\frac{0.904*(1-0.904)}{146}}= 0.024

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