The volume of one section of Tank A is 24 cubic feet. The volume of the other section of Tank A is 96 cubic feet. What is the to
2 answers:
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Answer:
(a) The 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject is (0.204, 0.256).
(b) The 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject is (0.34, 0.40).
Step-by-step explanation:
The questions are:
(a) Construct and interpret a 95% confidence interval for the proportion of US adults for whom math was their most favorite subject.
(b) Construct and interpret a 95% confidence interval for the proportion of US adults for whom math was their least favorite subject. Solution:
(a)
The 95% confidence interval for the population proportion is:
Th information provided is:
<em>n</em> = 1000
Number of US adults for whom math was their most favorite subject
= <em>X</em>
= 230
Compute the sample proportion of US adults for whom math was their most favorite subject as follows:
The critical value of <em>z</em> for 95% confidence interval is:
Compute the 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject as follows:
Thus, the 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject is (0.204, 0.256).
(b)
The 95% confidence interval for the population proportion is:
Th information provided is:
<em>n</em> = 1000
Number of US adults for whom math was their least favorite subject
= <em>X</em>
= 370
Compute the sample proportion of US adults for whom math was their least favorite subject as follows:
The critical value of <em>z</em> for 95% confidence interval is:
Compute the 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject as follows:
Thus, the 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject is (0.34, 0.40).