Question

In: Statistics and Probability

Approximately 22% of the daytime students at TCU are majoring in one of the four science...

Approximately 22% of the daytime students at TCU are majoring in one of the four science colleges. If we were to take a random sample of 200 TCU students, what is the probability of getting a value for the sample proportion (p-hat) that is less than 0.20?

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Expert Solution

Solution

Given that,

p = 22%=0.22

1 - p = 1-0.22=0.78

n = 200

= p =0.22

=  [p ( 1 - p ) / n] =   [(0.22*0.78) / 200 ] = 0.029

P( < 0.20) =

= P[( - ) / < (0.20-0.22) / 0.029]

= P(z < -0.69)

Using z table,   

=0.2451

probability =0.2451

orchestra answered 2 years ago
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