Question

In: Statistics and Probability

if out of All American workers 55% are completely satisfied with their jobs for a random...

if out of All American workers 55% are completely satisfied with their jobs for a random sample of 1000 American workers were considered.
a. find mean and standard deviation of the sample proportion.
b. find the probability that in a random sample of 1000 American workers, the proportion who will say that they are completely satisfied with their jobs is between 0.51 and 0.57.

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Expert Solution

Answer:-

Given that:-

if out of All American workers 55% are completely satisfied with their jobs for a random sample of 1000 American workers were considered.

p=55%=0.55

1-p=1-0.55 =0.45

n=1000

a. find mean and standard deviation of the sample proportion.?

mean

Standard deviation

b. find the probability that in a random sample of 1000 American workers, the proportion who will say that they are completely satisfied with their jobs is between 0.51 and 0.57.?

The probability that in a random sample of 1000 American workers, the proportion who will say that they are completely satisfied with their jobs is between 0.51 and 0.57.

Using Z -table

Probability

orchestra answered 2 years ago
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