Question

1. According to a recent report, 38% of adults wait until they are 30 years of age or older to get
married for the first time. A researcher believes this claimed value is too low. He gathers
data in order to test the hypotheses Ho: p = 0.38 vs. Ha: p > 0.38. In these hypotheses, what
does p represent?
A. The sample proportion
B. The population proportion
C. The p-value
D. The sample mean
E. The population mean
2. A claim is made that college students get an average of 6.2 hours of sleep per weeknight.
You believe college students get less than 6.2 hours of sleep per night. You decide to
conduct a hypothesis test by surveying a random sample of 65 college students. You find
your sample gets an average of 5.8 hours of sleep per night, with a sample standard deviation
of 1.2 hours. What will the test statistic be? Choose the answer below that is closest to what
you calculate, and try not to do a lot of rounding until you get to the very end of your
calculations.
A. -0.1
B. -0.3
C. -0.6
D. -1.2
E. -2.7
3. A hypothesis test is conducted and the p-value is 0.002. What will the conclusions be at
alpha (or significance) levels of 0.10, 0.05, and 0.01?
A. We will reject Ho if the alpha level is 0.01, but not if the alpha level is 0.05 or 0.10.
B. We will reject Ho if the alpha level is 0.05, but not if the alpha level is 0.10 or 0.01.
C. We will reject Ho if the alpha level is either 0.10 or 0.05, but not if the alpha level is 0.01.
D. We will reject Ho if the alpha level is 0.10, 0.05, or 0.01.
E. We will fail to reject Ho if the alpha level is 0.10, 0.05, or 0.01.
4. A claim is made that 19% of adults are country music fans. You believe this claim is
incorrect. You would like to test the null hypothesis that ? = 0.19 versus the alternative
hypothesis that ? ≠ 0.19. You gather data from a survey of a random sample of 100 adults
and obtain a test statistic of 2.4. If we assume the significance (or alpha) level is α = 0.01,
what should your decision be?
A. Reject the alternative hypothesis
B. Fail to reject the alternative hypothesis
C. Reject the null hypothesis
D. Fail to reject the null hypothesis
E. We cannot reach a conclusion without knowing the sample proportion.
5. Imagine you have data in the form of proportions and you conduct a hypothesis test.
Assuming you have made no errors in your calculations, what would it mean if the test
statistic ends up being larger than (or greater than) zero?
A. The sample proportion is equal to the claimed population proportion.
B. The sample proportion is larger than (or greater than) the claimed population
proportion.
C. The sample proportion is smaller than (or less than) the claimed population
proportion.
D. The sample size must be very large.
E. The sample size must be very small.

Answer 1