The test statistics for a small-sample test concerning

Question

1. The chi-square distribution is symmetrical 

a) True 

b) False

2. The test statistics for a small-sample test concerning proportion is the ___________. [hint: use all lowercase letters]

3. To test the null hypothesis that a population proportion is p = 0.40 using a sample size of n = 12, we use the ____________ distribution.   

a)  t

b) normal

c) binomial

d) chi-square

4. Which of the following null hypotheses cannot be tested with a chi-squared test?

a) H_o: the two variables defining the contingency table are independen

b) H_o: the population distribution is a normal distribution.

c)  H_o: the true category proportions are the same for all of the population.

d)  H_o: the true population means are the same for all of the populations

5. If the observed frequencies are exactly equal to the expected frequencies in a chi-square test, the value of χ² is:

a) close to 1

b) a large positive value

c) 0

d)  a very small positive value

6. A chi-square statistic can be used to analyze contingency tables 

a) True 

b) False

7. The larger the calculated χ² value in a goodness-of-fit test, the _______ likely the data fits the hypothesized distribution.

8. The null hypothesis that two processes produce the same proportion of defectives can be written:

a) p = 0

b) x₁/n₁ = x₂/n₂

c) p₁ - p₂ = 0

d) x/n = 0

9. The chi-square statistic for a 6 x 4 contingency table will have ______________ degrees of freedom

10.  The chi-square test can be used to determine if there is a significant difference between two sample proportions 

a) True 

b) False