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Question 1

Homework 5: Due October 16, 2020 by 11:59 pm
Question one:
A well-known bank credit card firm wishes to estimate the proportion of credit card holders
who carry a nonzero balance at the end of the monthand incur an interest charge. Assume
that the desired margin of error is .03 at 98% confidence.
a) How large a sample should be selected if it is anticipated that 70% of the firms card
holders carry a nonzero balance at the end of the month?
b) How large a sample should be selected if no planning value for the proportion could
be specified?

Question 2

Homework 5: Question 2
The 92 million Americans of age 50 and over control 50% of discretionary income. AARP estimates
that the average annual expenditue on restaurants and carryout food was $1,873 for individuals in
this age group. Suppose this estimate is based on a sample of 80 persons and that the sample standard
deviation is $550.
a) At a 95% confidence, what is the margin of error?
b) What is the 95% confidence interval for the population mean amount spent on restaurants and carryout food?