STATS Chapter 9 Study Guide Test 2024.

STATS Chapter 9 Study Guide Test 2024. For a given sample size and α level, the Student's t value always exceeds the z value - CORRECT ANSWER TRUE For a given level of significance, the critical value of Student's t increases as n increases - CORRECT ANSWER FALSE For a sample of nine items, the critical value of Student's t for a left-tailed test of a mean at α= .05 is -1.860 - CORRECT ANSWER TRUE Holding other factors constant, it is harder to reject the null hypothesis for a mean when conducting a two-tailed test rather than a one-tailed test - CORRECT ANSWER TRUE In a right-tailed test, the null hypothesis is rejected when the value of the test statistic exceeds the critical value. - CORRECT ANSWER TRUE If we desire α= .10, then a p-value of .13 would lead us to reject the null hypothesis. - CORRECT ANSWER FALSE The p-value is the probability of the sample result (or one more extreme) assuming H0 is true - CORRECT ANSWER TRUE The probability of rejecting a true null hypothesis is the significance level of the test - CORRECT ANSWER TRUE A null hypothesis is rejected when the calculated p-value is less than the critical value of the test statistic - CORRECT ANSWER TRUE Hypothesis testing is a procedure based on sample evidence and probability theory to decide whether the hypothesis is a reasonable statement. - CORRECT ANSWER TRUE Generally speaking, the alternate hypothesis is set up for the purpose of either accepting or rejecting it. - CORRECT ANSWER FALSE The level of significance refers to the probability of making a Type I error. - CORRECT ANSWER TRUE A Type I error probability is represented by α, it is the probability of incorrectly rejecting a null hypothesis that is true - CORRECT ANSWER TRUE Type I errors are usually considered more "costly" although this can lead to conservative decision making - CORRECT ANSWER TRUE The probability of making a Type I error and the level of significance are the same. - CORRECT ANSWER TRUE A Type II error is committed when we incorrectly accept an alternative hypothesis that is false - CORRECT ANSWER FALSE If the null hypothesis is false and the researchers do not reject it, then a Type I error has been made - CORRECT ANSWER FALSE Type II error is the probability or risk assumed by rejecting a null hypothesis when it is actually true - CORRECT ANSWER FALSE The power of a test is the probability of rejecting the null hypothesis when the alternative hypothesis is true - CORRECT ANSWER TRUE The analyst gets to choose the significance level . It is typically chosen to be 0.50, but it is occasionally chosen to be 0.05 - CORRECT ANSWER FALSE