Question

# If it is appropriate to do so, use the normal approximation to the  p^  p^ -distribution to calculate...

If it is appropriate to do so, use the normal approximation to the  p^  p^ -distribution to calculate the indicated probability:

Standard Normal Distribution Table

n=80,p=0.715n=80,p=0.715

P( p̂  > 0.75)P( p̂  > 0.75) =

Enter 0 if it is not appropriate to do so.

Solution

Given that,

=  [p( 1 - p ) / n] = [(0.715 * 0.285) / 80 ] = 0.0505

P( > 0.75) = 1 - P( < 0.75)

= 1 - P(( - ) / < (0.75 - 0.715) / 0.0505)

= 1 - P(z < 0.69)

= 1 - 0.7549

= 0.2451

P( > 0.75) = 0.2451

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