ISDS 361A Quiz 6 Dr. Hanizavareh
Spring 2003 Name ______
1. For a two-tail test, the null hypothesis will be rejected at the 0.05 level of significance if the value of the standardized test statistic is:
A. / smaller 1.96 / B. / greater than –1.96C. / smaller than –1.96 / D. / smaller than 1.645
2. In a large sample testing the hypothesis 800 vs. 800, if the value of the test statistic equals 1.75, then the p-value is:
A. / 0.0401 / B. / 0.0802 / C. / 0.4599 / D. / 0.91983. If a hypothesis is rejected at the 0.025 level of significance, it:
A. / must be rejected at any level / B. / must not be rejected at the 0.01 levelC. / must be rejected at the 0.01 level / D. / may be rejected or not rejected at the 0.01 level
4. In a criminal trial, a Type I error is made when:
A. / a guilty defendant is acquitted / B. / a guilty defendant is convictedC. / an innocent person is convicted / D. / an innocent person is acquitted
5. If we reject the null hypothesis, we conclude that :
A. / there is enough statistical evidence to infer that the alternative hypothesis is trueB. / there is not enough statistical evidence to infer that the alternative hypothesis is true
C. / there is enough statistical evidence to infer that the null hypothesis is true
D. / the test is statistically insignificant at whatever level of significance
6. If we do not reject the null hypothesis, we conclude that:
A. / there is enough statistical evidence to infer that the alternative hypothesis is trueB. / there is not enough statistical evidence to infer that the alternative hypothesis is true
C. / there is enough statistical evidence to infer that the null hypothesis is true
D. / the test is statistically insignificant at whatever level of significance
7. The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is
A. / H0: m < 40,000 Ha: m ³ 40,000 / B. / H0: m £ 40,000 Ha: m > 40,000C. / H0: m > 40,000 Ha: m £ 40,000 / D. / H0: m ³ 40,000 Ha: m < 40,000
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. (8 – 10)
8. The test statistic is
A. / 0.80 / B. / 1.25 / C. / 1.55 / D. / 0.759. The p-value is
A. / 0.9394 / B. / 0.05 / C. / 0.025 / D. / 0.105610. At a .05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is
A. / significantly greater than 75% / B. / not significantly greater than 75%C. / significantly greater than 80% / D. / None of these