WorksheetsAP Stats Hypothesis Tests
Total questions: 20
Worksheet time: 20mins
A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race of the driver. The results are summarized in the table provided. Assuming H0 is true, the expected number of Hispanic drivers who would receive a ticket is
10.4
11
11.8
12
Find the degrees of freedom.
4
5
6
7
Which test would you use to see if age is a factor choosing a person’s favorite fruit? 900 college students were surveyed and their favorite fruit recorded.
Chi-square Goodness of Fit Test
Correlation coefficient
Chi-Square Test for Independence
Chi-square test for correlation
Which test would you use to see whether the fans that buy tickets are demographically the same as the general population of the city. Currently 42% are Caucasian, 35% are Latinx, 12% are African American, 8% are Asian, and the rest are defined as other.
Chi-square Goodness of Fit Test
Chi-Square Test for Independence/Association
Not a Chi-square test
A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely). The spinner is spun 100 times, and the results are recorded. The degrees of freedom for the test will be
8
9
10
99
Using a GDC, the chi-square test statistic for commuter data is χ² = 5.37 with P-value < 0.01. If we useα=0.05, what conclusion is appropriate?
Do NOT reject H0; the results are significantly different.
Do NOT reject H0; the results are not significantly different.
Reject H0; the results are significantly different
Reject H0; the results are not significant different.
The bigger the chi square statistic, the ________ the p value.
bigger
smaller
What are the degrees of freedom for the following χ² test?
6
2
5
36
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.
Chi-square Goodness of Fit Test
Chi-Square Test for Homogeneity
Chi-Square Test for Independence
Not a Chi-square test
Which statement is NOT correct about the χ2 test statistic?
a) A value close to 0 would indicate expected counts are much different from observed counts.
b) A large value of the test statistic would be in support of the alternative hypothesis.
c) A small value of the test statistic would indicate evidence supporting the null hypothesis.
A student wants to test the hypothesis that favorite car color is independent of gender. He shows people pictures of the same car in 5 different colors, and records their preference. How many degrees of freedom will there be in his χ2 test
10
4
8
Impossible to tell from the information given
What is the
χ2 calculated value for the following situation.
6.65
6.66
0.00991
1
If the χ2 critical value = 5.99 and the
χ2 calculated value = 7.35, what is the conclusion
Reject Ho
Do not reject Ho
there is not enough info to decide
The conclusion can only be made if we also know the p-value
What must be true about the expected values in a chi square test?
greater than or equal to 2
greater than or equal to 5
greater than or equal to 10
greater than or equal to 30
With this regression output, what's the p-value for an alternate hypothesis of β ≠ 0?
0.48
0.24
0.1058
0.02645
0.0529
This unit with Regression, what does the null hypothesis always say?
The population slope is 0.
The population slope is 1.
The sample slope is 0.
The sample slope is 1.
When doing a hypothesis test with regression; if the theory is just wondering if there is a relationship between the "x variable" and "y variable", what's your alternate hypothesis?
β≠0
β>0
β<0
With this regression output, what's the test statistic for a hypothesis test?
50.23
5.41
2.6
2.08
0.0529
