Font size
WorksheetsChi-squared tests
Total questions: 21
Worksheet time: 24mins
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
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 use α=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.
What are the degrees of freedom for the following χ² test?
6
2
5
36
Is the type of television show that a person chooses to watch related to the brand of deodorant that a person uses? 1500 people were surveyed.
Chi-square Goodness of Fit Test
Chi-Square Test for Independence
Chi-squared test for correlation
Not a Chi-square test
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
Is the type of music that people listen to related to the state that they were born in? 10,000 Americans were asked what type of music they listened to and where they were born.
Chi-square Goodness of Fit Test
Chi-Square Test for Homogeneity
Chi-Square Test for Independence
Not a Chi-square test
What is the expected frequency of a female who likes Pepsi?
10.5
11
14.5
6.3
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.
What is 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
Chi-squared tests are invalid if:
(choose all that apply)
The calculated number is really large
One of the expected values is less than 5
One of the observed values is less than 5
The degrees of freedom = 1
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
