10 MCQs in Statistics ...

1. Type II error is defined as the probability of ______ H0 , when it should _____ (Points : 1) failing to reject, be rejected. failing to reject, not be rejected. rejecting, not be rejected. rejecting, be rejected. 

2. For the chi-square goodness of fit test, the rejection point X2a is in (Points : 1) the left tail of a chi-square curve. both the left and right tails of a chi-square curve. the right tail of the appropriate F curve. the right tail of a chi-square curve. 

3. When carrying out a sample test (with ó known) of H0: µ = 10 vs. Ha: µ > 10 by using a rejection point, we reject Ho at level of significance a if and only if the calculated test statistic is (Points : 1) less than Za less than - Za greater than Za/2 greater than Za less than the p value. 

4. The X2 statistic for the goodness of fit test for multi-nominal probabilities has the following degrees for freedom (Points : 1) K-1 K-3 (R-1)(C-1) K-1-m 

5. The X2 statistic is used to test whether the assumption of normality is reasonable for a given population distribution. The sample consists of 5000 observations and is divided into 6 categories (intervals). The degrees of freedom for the chi-square statistic is: (Points : 1) 4999 6 5 4 3 

6. If we reject H0:µ = 10 in favor of Ha:µ 10 at a given level of significance with a positive value of the test statistic z, then if we test H0:µ = 10 versus Ha:µ > 10 using the same sample, Ha:µ > 10 will ______ be rejected at the same significance level. (Points : 1) Always Sometimes Never 7

7.  Homogeneity is a test of the null hypothesis that all multinomial probabilities are equal (Points : 1) True False 

8. A chi-square goodness of fit test is considered to be valid if each of the expected cell frequencies is _______. (Points : 1) greater than zero. less than 5. between 0 and 5. at most 1. at least 5. 

9. A type I error is rejecting a true null hypothesis. (Points : 1) True False 

10. When carrying out a large sample test about a population proportion p where we are testing H0: p = .4 vs. Ha: p < .4 and z is the calculated test statistic, we reject H0 at level of significance a if and only if (Points : 1) p < -Zá Z < - Za/2 Z Za