Concept explainers
a.
To define: The parameter p involved in the setting.
a.
Explanation of Solution
Given:
Number of trials ( n ) = 1000
Sample proportion
Formula used:
The formula of confidence interval is:
The population proportion p shows the proportion of adults that are aged 18 and above that believe that their favorite sport is football
b.
To check: If the conditions to construct the confidence interval for population are met.
b.
Answer to Problem 4CRE
Yes.
Explanation of Solution
Here, following conditions are fulfilled:
(a). The sample has been chosen randomly.
(b). The number of success and failures are above 10.
(c).
Thus, all the required conditions are fulfilled.
c.
To construct: The 95% confidence interval
c.
Answer to Problem 4CRE
The confidence interval is (0.341, 0.3999)
Explanation of Solution
Calculation:
The obtained confidence interval using Ti-83 calculator is:
Thus, the confidence interval is (0.341, 0.3999)
d.
To interpret: The confidence interval.
d.
Explanation of Solution
There is 95% surity that the population proportion of adults who believe that their favorite sports to watch in TV is football would fall between the 0.3401 and 0.3999.
Chapter 8 Solutions
The Practice of Statistics for AP - 4th Edition
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