Concept explainers
Tocalculate:The probability more than 20% of the sample are from poverty households.
Answer to Problem 13PT
The required probability is 0.7995.
Explanation of Solution
Given information:
Proportion of children living in households with less incomes = 22%
Number of children for SRS = 300
Formula used:
The mean of the sampling distribution of
The standard deviation of the sampling distribution of
Calculation:
Consider the proportion of children living in households with less incomes than the official poverty levelbe p and sample proportion of children be
Rewrite it as:
For the mean of the sampling distribution of
Substitute 0.22 for p in the formula
For the standard deviation of the sampling distribution, use the formula
Substitute 0.22 for p and 300 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 as:
Hence, the required probability is 0.7995.
Chapter 7 Solutions
The Practice of Statistics for AP - 4th Edition
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