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AP Statistics Topic VIII Other Inference Tests

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.
What does it mean when a test is statistically significant?
a)
it has reached alpha level status
b)
the test statistic had a P-value higher than the alpha level
c)
the test statistic had a P-value lower than the alpha level
d)
it is important in practical terms
2.
How can you reduce both Type I and Type II errors?
a)
it can't be reduced
b)
redo the tests
c)
increase the sample size
d)
tamper with the data
3.
To compare 2 dog-training programs, an obedience school trained 43 dogs using Program A and 41 dogs using Program B. For Program A, the average number of training hours required was 24.8 with a standard deviation of 3.1 hours. For Program B, the mean was 22.9 hours with a standard deviation of 3.3 hours. Is there a significant difference between the two programs?
a)
One-Sample Z Test for a Proportion
b)
One-Sample Z Test for a Mean
c)
Two-Sample T Test for the Difference in Means
d)
Two-Sample Z Test for the Difference in Means
4.
In 1975, a random sample of 1484 adult U.S. citizens was surveyed, and 193 strongly agreed with the statement, "People should take care of themselves". Then, in 1991, a survey of 1013 adult U.S. citizens showed that only 61 strongly agreed with the statement. Does this indicate that the proportion of U.S.adults who strongly agree with the given statement has dropped?
a)
Two-Sample Z Test for the Difference in Proportions
b)
Two-Sample T Test for the Difference in Means
c)
Matched Pairs T Test for a Mean
d)
One-Sample T Test for a Mean
5.
Which test would you use to see if the distribution of music that Californians listen to is the same as that of Nevadans?  900 Californians and 600 Nevadans were surveyed.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
6.
Which test would you use .... In 1974, each acre of the Tahoe basin was assessed to see what condition the soil was in.  23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV.  This year the region was assessed again and the number of each type were again determined.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
7.
Which test would you use to see if gender is a factor choosing a person’s favorite fruit?  900 college students were surveyed and their favorite fruit recorded.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
8.

If the χ2 critical value = 5.99 and the

χ2 calculated value = 7.35, what is the conclusion

a)

Reject Ho, accept H1

b)

Accept Ho, reject H1

c)

there is not enough info to decide

d)

The conclusion can only be made if we also know the p-value

9.

What are the degrees of freedom for the following χ² test?

a)

6

b)

2

c)

5

d)

12

10.

Fast food is often considered unhealthy because of its high content of both fat and calories. But are the two related? The fat and calorie contents of several brands of burgers were analyze for their association between fat and calorie content. What is the name of inference use to determine if a relationship exists between these two variables?

a)

Z-test for a proportion

b)

T-test for a mean

c)

T-test for the slope of a regression line

d)

Chi square test of independence

e)

Z-test for a difference between two proportions