
Test of Independence
Authored by Anthony Clark
Mathematics
12th Grade

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
All current-carrying wires produce electro-magnetic (EM) radiation. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies are generally assumed to be harmless. To investigate the relationship between current configuration and type of cancer, researchers visited the addresses of a random sample of children who died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either high-current configuration (HCC) or low-current configuration (LCC). The data is provided in a table. Which of the following may we conclude, based on the test results?
There is convincing evidence of an association between wiring configuration and the chance that a child will develop some form of cancer.
HCC either causes cancer directly or is a major contributing factor to the development of cancer in children.
There is not convincing evidence of an association between wiring configuration and the type of cancer that cause the deaths of children in the study.
There is convincing evidence that HCC does not cause cancer in children.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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.....
10.36
11
11.84
12
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the χ2 calculated value for the following situation.
6.65
6.66
0.00991
1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the chi-squared calculated value for the table.
0.486170447
1.442392006
1.45
2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given that a student is male, what is the probability that maths is their favorite?
0.491
0.225
0.443
.508
6.
FILL IN THE BLANK QUESTION
1 min • 1 pt
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The appropriate null hypothesis for performing a chi-square test is that
equal proportions of female and male teenagers are almost certain they will be married in 10 years.
there is no difference between the distributions of female and male teenagers' opinions about marriage in this sample.
there is no difference between the distributions of female and male teenagers' opinions about marriage in the population.
there is no association between gender and opinion about marriage in the sample.
there is no association between gender and opinion about marriage in the population.
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