Question

4. A lumber company required that 68% of the trees in an area to be logged have
usable wood for them to make a profit. They are offered a plot of land to log.
The lumber company take a random sample of 40 trees and finds that 25 of the
trees have usable wood. Should the timber company agree to log this plot of
land?
(a) Yes, because the sample proportion produces a p-value that is very large.
(b) Yes, because the sample proportion is very close the the required 68%.
(c) No, because the sample proportion is lower than the required 68%.
(d) No, because the sample proportion produces a p-value that is very small.
(e) No, there is too much error associated with this sample proportion.
5. Suppose a machine that makes pegs to be used in holes to hold furniture
parts together is malfunctioning, but the manufacturer doesn’t know it. A quality
control test is conducted bimonthly with the null hypothesis stating that the
machine works properly. The p-value of the most recent test was 0.185. What
probably happens as a result of this test?
(a) The test correctly fails to reject .
(b) The test correctly rejects .
(c) is rejected, resulting in a Type I error.
(d) is not rejected, resulting in a Type I error.
(e) is not rejected, resulting in a Type II error.
6. Which of the following is the correct interpretation of a p-value of 0.003?
(a) The probability of seeing the observed statistic or something more extreme, if
the alternative hypothesis is true, is 0.003.
(b) The probability of seeing the observed statistic or something more extreme, if
the null hypothesis is true, is 0.003.
(c) The probability of failing to reject the null hypothesis is 0.003.
(d) The probability that the null hypothesis is true is 0.003.
(e) The probability that the alternative hypothesis true is 0.003

Answer 1