Concept explainers
a.
Obtain the sampling distribution of
a.
Answer to Problem 12P
The sampling distribution of
Explanation of Solution
It is given that the proportion of entrepreneurs whose first startup was at 29 years or less is
The sampling distribution of the proportion is approximately normal if
Verify the conditions:
And
The conditions are satisfied. Therefore, the sampling distribution of the proportion is normal.
The mean of the
In this context,
The mean of
The standard deviation of
Thus, the sampling distribution of the proportion
b.
Obtain the sampling distribution of
b.
Answer to Problem 12P
The sampling distribution of
Explanation of Solution
It is given that is the sample proportion of entrepreneurs whose first startup was at 30 years or more is
The sampling distribution of the proportion is approximately normal if
Verify the conditions:
And
The conditions are satisfied. Therefore, the sampling distribution of the proportion is normal.
The mean of the
Mean and standard deviation are calculated as below
Thus, the sampling distribution of the proportion
c.
Check whether the standard error of the sampling distributions of
c.
Answer to Problem 12P
The standard error of the sampling distributions of
Explanation of Solution
The standard error of
The standard error of
It can be seen that standard error of
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