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In: Statistics and Probability

Determine whether the normal sampling distribution can be used. The claim is p = 0.03 and...

Determine whether the normal sampling distribution can be used. The claim is p = 0.03 and the sample size is n = 100.

Solutions

Expert Solution

Solution

Given that,

p = 0.03

1 - p = 1 - 0.03 = 0.97

n = 100

The mean of the sampling distribution of proportion is ,

= p = 0.03

The standard error of the sampling distribution is ,  

=  p ( 1 - p ) / n

=   (0.03 * 0.97) / 100 = 0.0171

= 0.0171

orchestra answered 2 years ago
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