In linear regression between two variables, a significant relationship exists wh

Question

In linear regression between two variables, a significant relationship exists when the p-value of the t test statistic is greater than the desired level of a. a. True b. False In hypothesis testing, Type 1 error is a. set at 5 percent. b. smaller than or equal to 5 percent. c. the probability of rejecting H_0 when H_0 is true d. the probability of rejecting H_0 when H_A is true. For a given sample size, when we increase the probability of Type I error, the probability of a Type II error a. remains unchanged b. increases c. decreases. d. is impossible to determine without more information. Which of the following is NOT a valid null hypothesis? a. H_0: mu greaterthanorequalto 0 b. H_0 mu notequalto 0 c. H_0 mu lessthanorequalto 0 d. H_0 mu = 0 Guidelines for the Jolly Blue Giant Health Insurance company say that the average hospitalization for a triple hernia operation should not exceed 30 hours. A diligent auditor studied record of 16 randomly chosen triple hernia operations at Hackmore Hospital, and found a mean hospital stay of 40 hours with a standard deviation of 20 hours. "Aha!" she cried, "The average stay exceeds the guideline." At a = .025, the critical value for a right (one-tailed) test of her hypothesis is a. 1.753 b. 1.645 c. 2.131 d. 1.960 For a right (one-tailed) test of hypothesis for a single population mean when sigma is unknown with n = 14, the value of the test statistic was 1.863. The p-value is a. between 0.05 and 0.025. b. greater than 0.10 c. between 0.10 and 0.05. d. less than 0.01. The critical value of the test statistic a. is calculated from the sample data. b. is usually .05 or .01 in most statistical tests. c. separates the acceptance and rejection regions. d. is determine by the test statistic.

Explanation / Answer

10) False

If the P-value is larger than the significance level , we fail to reject the null hypothesis. We conclude "there is not enough evidence at the level to conclude that there is a linear relationship in the population between the predictor x and response y."

13) Option B)

14) The critical vlue for right tailed test is 2.131

15) a) between 0.05 and 0.025

16) c) seperates the acceptance and rejection region

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