Question

In: Statistics and Probability

Forty five percent of employees in a firm are female. A sample of 49 employees is...

Forty five percent of employees in a firm are female. A sample of 49 employees is selected randomly.

What is the probability that the sample proportion of females is at least 0.45?

Expert Solution

The following information has been provided about the population proportiona and the sample size:

Population Proportion =	0.45
Sample Size =	49

We need to compute Based on the information provided, the population men of sample proportions and the corresponding standard error are:

Observe that:

which indicates that the assumption for normal approximation for the sampling distribution is met.

Since we need to use a continuity correction, we need to use the factor to adjust the end points of the end points of the probability intervals, so the new limits are:

Now, the following is obtained using normal approximation:

Therefore, based on the information provided, it is concluded that

please rate my answer and comment for doubts.

orchestra answered 1 year ago

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