Suppose it is known that among all public colleges and universities, 19.7% of them are planning...

Suppose it is known that among all public colleges and universities, 19.7% of them are planning to move their summer 2020 classes online . If a simple random sample of 207 public colleges and universities is selected and the proportion p hat of this sample who are planning to move their summer 2020 classes online determined, if appropriate describe completely the sampling distribution of p hat.

Expert Solution

Solution

Given that,

p = 0.197

1 - p = 1 - 0.197 = 0.803

n = 207

The sampling distribution is approximately normal,

np 10 and n( 1 - p ) 10

207 * 0.197 = 40.779 10 and 207 * 0.803 = 166.221 10

= p = 0.197

$\sqrt$ [p ( 1 - p ) / n] = $\sqrt$ [(0.197 * 0.803) / 207 ] = 0.0276

orchestra answered 2 years ago

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