About 27% of US citizens say football is their favorite sport to watch on TV. A...

About 27% of US citizens say football is their favorite sport to watch on TV. A random sample of 100 US citizens is obtained. Is the sampling distribution of the sample proportion normally distributed? Why?

Expert Solution

Solution

Given that,

p = 0.27

1 - p = 1 - 0.27 = 0.73

n = 100

The sampling distribution of is approximately normal because,

np 10 and n(1 - p) 10

100 * 0.27 = 27 10 and 100 * 0.73 = 73 10

= p = 0.27

$\sqrt$ [p ( 1 - p ) / n] = $\sqrt$ [(0.27 * 0.73) / 100 ] = 0.0444

orchestra answered 2 years ago

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