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MCQs-Hypothesis+Testing-week5

# MCQs-Hypothesis+Testing-week5 - 1 The statement that...

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1) The statement that determines if the null hypothesis is rejected or not is called the A. critical value B. alternate hypothesis C. test statistic D. decision rule 2) What are the critical z-values for a two-tailed hypothesis test if the significant level = 0.01? A. ± 1.65 B. ± 2.58 C. ± 2.33 D. ± 1.96 Hint: 3) If the decision is to reject the null hypothesis of no difference between two population parameters, z distribution at the .01 significant level, what is the correct statement of the alternate hypothesis and rejection region? A. µ1 > µ2; z > 2.33 B. µ1 > µ2; z < negative 2.33 C. µ1 ≠ µ2 ; z > 1.96 and z < negative 1.96 D. µ1 ≠ µ2 ; z > 2.58 and z < negative 2.58 4) The Roman Senate has become concerned about the loyalty of the army in Gaul commanded by Julius Caesar. They claim that, of the 80,000 men in the army, at least 28,000 are foreign barbarians. Caesar believes there are fewer barbarians, so the Senate should not worry. He polls one legion of 1,000 men and finds that 340 of them are barbarians. What is the test statistic for this hypothesis test? A. (0.34-0.35)/0.063 B. (0.35-0.34)/0.2275 C. (0.34-0.35)/0.015 D. (0.35-0.34)/100

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5) Doi Winery has two wine shops in the neighboring towns of Seamen and Batavia. The favorite wine, as advertised, is Raspberry wine. A survey of 300 customers at the Seamen store revealed that 225 individuals preferred the Raspberry wine while 290 out of 400 in Batavia preferred the same flavor. To test the hypothesis that there was no difference in preferences in the two towns, what is the alternate hypothesis? A. µ1 ≠ µ2 B. µ1 = µ2 C. µ1 > µ2 D. µ1 < µ2 Hint: Here we are testing the difference in proportion and hence the correct notations are p1 and p2. Therefore, the correct alternative hypothesis is p1 ≠ p2. 6) A statistician was setting up a hypothesis test with a level of significance dictated by upper management. However, she was concerned that the test she wished to perform might have unacceptable large possibilities of Type II error, ß. Which of the following would solve this problem? A. Convince upper management to reduce the level of significance of the test. B. Convince upper management to use a smaller p -value. C. Convince upper management to use a larger sample. D. Convince upper management to use a larger p -value. 7) You are conducting a two-tailed test of means but your software package only calculates a one- tailed p-value equal to 0.13. The actual p-value for your test is A. need a table to calculate this value. B. 0.26 C. 0.065 D. 0.13 8) If the paired differences are normal in a test of mean differences, then the distribution used for testing is the A. F distribution B. Chi-Square C. normal distribution D. Student t distribution
A. F distribution 9) Cake manufacturer Little Diva’s wants to increase the shelf life of its easy-to-fix cupcake mixes. Company’s records indicate that the average shelf life of the mix is 230 days. A new, improved

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MCQs-Hypothesis+Testing-week5 - 1 The statement that...

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