9. A die is rolled 30 times and the results are recorded in the...
9. A die is rolled 30 times and the results are recorded in the table.
Number Rolled 1 2 3 4 5 6
Frequency 6 9 4 4 2 5
A goodness-of-fit chi-square test is to be used to test the null hypothesis that the die is fair. At a
significance level of α = 0.01, what is the value of chi-square and the appropriate conclusion?
a. ?2 = 5.6; fail to reject the null hypothesis
b. ?2 = 5.6; reject the null hypothesis
c. ?2 = 11.2; fail to reject the null hypothesis
d. ?2 = 11.2; reject the null hypothesis
e. ?2 = 15.33; fail to reject the null hypothesis
10. A random sample of 200 employees at a specific company is asked to state their gender
and annual salary. The results are recorded in the table.
Gender $50,000 $75,000 $100,000 >$100,000
Male 29 34 12 20
Female 41 44 6 14
A chi-square test is used to test the null hypothesis that gender and salary are independent.
Which statement is correct?
a. Fail to reject H0 at the 0.10 significance level.
b. Fail to reject H0 at the 0.5 significance level.
c. Reject H0 at the 0.01 significance level.
d. Reject H0 at the 0.05 significance level.
e. Reject H0 at the 0.001 significance level.
11. A popular infomercial wants to know the proportion of viewers that prefer gold to silver
jewelry. Viewers are asked to text "gold" or "silver" to a provided number. Seventy-seven
percent of the 5,000 people that responded texted "gold." Which condition for inference has
NOT been met?
a. All conditions appear to be met.
b. N > 10n
c. np ≥ 10 and n(1 - p) ≥ 10
d. Inference about a proportion is the objective.
e. The sample is an SRS of the po
9. A die is rolled 30 times and the results are recorded in the...
9. A die is rolled 30 times and the results are recorded in the table.
Number Rolled 1 2 3 4 5 6
Frequency 6 9 4 4 2 5
A goodness-of-fit chi-square test is to be used to test the null hypothesis that the die is fair. At a
significance level of α = 0.01, what is the value of chi-square and the appropriate conclusion?
a. ?2 = 5.6; fail to reject the null hypothesis
b. ?2 = 5.6; reject the null hypothesis
c. ?2 = 11.2; fail to reject the null hypothesis
d. ?2 = 11.2; reject the null hypothesis
e. ?2 = 15.33; fail to reject the null hypothesis
10. A random sample of 200 employees at a specific company is asked to state their gender
and annual salary. The results are recorded in the table.
Gender $50,000 $75,000 $100,000 >$100,000
Male 29 34 12 20
Female 41 44 6 14
A chi-square test is used to test the null hypothesis that gender and salary are independent.
Which statement is correct?
a. Fail to reject H0 at the 0.10 significance level.
b. Fail to reject H0 at the 0.5 significance level.
c. Reject H0 at the 0.01 significance level.
d. Reject H0 at the 0.05 significance level.
e. Reject H0 at the 0.001 significance level.
11. A popular infomercial wants to know the proportion of viewers that prefer gold to silver
jewelry. Viewers are asked to text "gold" or "silver" to a provided number. Seventy-seven
percent of the 5,000 people that responded texted "gold." Which condition for inference has
NOT been met?
a. All conditions appear to be met.
b. N > 10n
c. np ≥ 10 and n(1 - p) ≥ 10
d. Inference about a proportion is the objective.
e. The sample is an SRS of the po