2018FA-MATH-1051H.hbrettpickering.2018-Assignment8.pdf

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Heather Brett-Pickering 2018FA-MATH-1051H Assignment 2018-Assignment8 due 11/16/2018 at 11:59pm EST 1. (1 point) When one changes the significance level of a hypothesis test from 0.01 to 0.05, which of the following will happen? Check all that apply. A. The test becomes less stringent to reject the null hy- pothesis (i.e., it becomes easier to reject the null hy- pothesis). B. It becomes easier to prove that the null hypothesis is true. C. The chance of committing a Type II error changes from 0.01 to 0.05. D. The chance that the null hypothesis is true changes from 0.01 to 0.05. E. It becomes harder to prove that the null hypothesis is true. F. The chance of committing a Type I error changes from 0.01 to 0.05. G. The test becomes more stringent to reject the null hypothesis (i.e. it becomes harder to reject the null hy- pothesis). Correct Answers: AF 2. (1 point) The smaller the P -value obtained in a hypothesis test, the stronger the evidence against the null hypothesis. the stronger the evidence against the null hypothesis, only if the test is two-sided. the stronger the evidence against the null hypothesis, only if the test is one-sided. the weaker the evidence against the null hypothesis. the weaker the evidence against the null hypothesis, only if the test is two-sided. the weaker the evidence against the null hypothesis, only if the test is one-sided. Correct Answers: the stronger ... hypothesis. 3. (1 point) For each problem, select the best response. (a) In formulating hypotheses for a statistical test of signifi- cance, the null hypothesis is often A. a statement that the data are all 0. B. the probability of observing the data you actually ob- tained C. 0.05 D. a statement of ”no effect” or ”no difference”. (b) The P -value of a test of a null hypothesis is A. the probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed.

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• Fall '15
• Justin
• Statistics, Null hypothesis, Statistical hypothesis testing, Mathematical Association of America, MATH 1051, Non-Calculus Stats, Heather Brett-Pickering

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