EBook Problems Hypothesis Proportion
EBook Problems Set - Testing a Claim about a Proportion
Problem 1
A random sample of 1000 Americans aged 65 and older was collected in 1980 and found that 15% had "hazardous" levels of drinking, which is defined as regularly drinking an amount of alcohol that could cause health problems given the subject's medical conditions. Researchers wanted to know if this proportion has changed since 1980 and so collected a random sample of 1500 Americans aged 65 and older in 2004. They found that 12% drank at hazardous levels. Which of the following is closest to the value of a test statistic that could be used to test the hypothesis that the proportion of hazardous drinkers over the age of 65 has declined since 1980?
- Choose one answer.
- (a) -2.13
- (b) 0.014
- (c) 0.418
- (d) 4.54
Problem 2
Based on past experience, a bank believes that 4% of the people who receive loans will not make payments on time. The bank has recently approved 300 loans. What is the probability that over 6% of these clients will not make timely payments?
- Choose one answer.
- (a) 0.096
- (b) 0.038
- (c) 0.962
- (d) 0.904
- (e) 0.017
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