Tocalculate:The probability of the sample that 20% or more own Harleys.
Answer to Problem 40E
The required probability is 0.0001.
Explanation of Solution
Given information:
Proportion of registered Harley-Davidson motorcycles in the United States
Number of SRS motorcycle owners = 500
Formula used:
The mean of the sampling distribution of
The standard deviation of the sampling distribution of
Consider the proportion of registered Harley-Davidson motorcycles in the United States be p and sample proportion of who own Harleys be
So, we can write:
For the mean of the sampling distribution of
Substitute 0.14 for p in the formula
For the standard deviation of the sampling distribution, use the formula
Substitute 0.14 for p and 500 for n in the above formula and simplify.
Now, find the z-score by using the formula
Substitute 0.20 for
Find the probability by using table A.
Hence, the required probability is 0.0001.
Chapter 7 Solutions
The Practice of Statistics for AP - 4th Edition
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