a) A bank randomly selected 250 checking account customers and found that 113 of them also had savings accounts at this same bank. Construct a 95% confidence interval for the true proportion of checking account customers who also have savings accounts. (Give your answers correct to three decimal places.)
Upper Limit -
Lower Limit -
b) In a sample of 50 randomly selected students, 29 favored the amount being budgeted for next year's intramural and interscholastic sports. Construct a 95% confidence interval for the proportion of all students who support the proposed budget amount. (Give your answers correct to three decimal places.)
Upper Limit -
Lower Limit -
c) Calculate the value of t for the hypothesis test. (Give your answer correct to two decimal places.)
Ho: μ = 32, Ha: μ > 32, n = 17, x = 32.56, s = 2.6
Solution: a) Here the given information are
n=250, x=113
=x/n= 113/250 = 0.452
95% confidence interval for proportion is calculated as follows
Substituting our values we get
(0.390, 0.514)
Lower limit=0.390
Upper limit=0.514
b) Here the given information are
n=50, x=29
=x/n=29/50 = 0.58
95% confidence interval for proportion is calculated as follows
(0.443, 0.717)
Lower limit=0.443
Upper limit=0.717
c) Here the given information are
Ho: μ = 32, Ha: μ > 32, n = 17, x = 32.56, s = 2.6
t=0.88
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