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WorksheetsChi-Square Statistical Reasoning
Total questions: 45
Worksheet time: 1hrs 18mins
Name
Class
Date
1.
What is the expected value for all cells, if we assume that this is a fair six sided die?
a)
96
b)
16
c)
8
d)
1/6
2.
What does "mean" mean?
a)
average
b)
middle
c)
repeats the most
d)
variation
3.
What does "mode" mean?
a)
average
b)
middle
c)
repeats the most
d)
variation
4.
What is the mode in the set of data?
2,2,2,4,4,5,6,6,6,7
2,2,2,4,4,5,6,6,6,7
a)
2
b)
6
c)
2 and 6
d)
2,4, and 6
5.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
6.
To find the mean of a set of numbers, add up all the items and divide by...
a)
2
b)
The least number
c)
The maximum or biggest number
d)
The number of items in the data set
7.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
8.
Three out of every 10 students age 8-12 have a cell phone. Suppose there are 30 students in Annabelle's class. About how many would have a phone?
a)
3
b)
9
c)
10
d)
15
9.
Leslie's team won 12 of their last 20 basketball games. Find the probability her team will win the next game.
a)
4/6
b)
50%
c)
40%
d)
60%
10.
Leadership asked every tenth student in the lunch line if they enjoyed the newscast. The result was 65% enjoyed it. What type of sample is this?
a)
Voluntary
b)
Simple Random
c)
Systematic Random
d)
Convenience
11.
Leadership asked every tenth student in the lunch line if they enjoyed the newscast. The result was 65% enjoyed it. How many students would you predict out of 1200 would have enjoyed the newscast?
a)
780
b)
800
c)
680
d)
7800
12.
What is NOT something that can cause a graph or data to be misleading?
a)
Intervals are not the same
b)
Outliers can distort measures of center
c)
Data can be minimized or minimized
d)
Mean can be high
13.
Which kind of graph is this?
a)
Bar graph
b)
histogram
14.
This is a histogram
a)
true
b)
false
15.
What type of graph is this?
a)
Bar Graph
b)
Histogram
c)
Pictograph
d)
Tally Chart
16.
Mr. Semo is making a histogram to show the scores on the last science test. He first lists the scores in a stem-and-leaf plot. How many units tall should the bar be for the interval 70-79?
a)
2
b)
5
c)
9
d)
11
17.
List the 5 number summary.
a)
20, 40, 60, 80, 10
b)
10, 20, 30, 40, 50
c)
15, 25, 40, 50, 80
d)
10, 40, 60, 70, 80
18.
Which family on average is shorter?
a)
Maggie's
b)
Lexi's
19.
8. Which city has the lower minimum value?
a)
Millersburg
b)
Arcandia
20.
6. Which city has a higher median?
a)
Millersburg
b)
Arcadia
21.
Which is the correct data set for the dot plot?
a)
1, 2, 3, 4, 5, 6, 7, 8, 9,
b)
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 7, 9
c)
1, 2, 3, 4, 5, 7, 9
22.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
23.
What is the difference in the median gas mileage?
a)
0
b)
5
c)
7
24.
Are these dot plots symmetric?
a)
Yes
b)
No
25.
Sample that involves only those that want to participate
a)
voluntary
b)
convenient
c)
simple random
d)
systematic random
26.
A method of collecting information
a)
sample
b)
statistics
c)
survey
27.
Part of the group
a)
population
b)
sample
c)
survey
28.
Sample in which members of a group are easily accessed.
a)
Convenience
b)
voluntary
c)
random
29.
The purpose of randomization is to reduce
a)
blinding
b)
bias
c)
confounding
d)
variability
30.
How many degrees of freedom will be present?
a)
4
b)
5
c)
6
d)
7
31.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
32.
What are the degrees of freedom for the following χ² test?
a)
6
b)
2
c)
5
d)
36
33.
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
a)
8
b)
9
c)
10
d)
99
34.
All current-carrying wires produce electro-magnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies associated with household current is 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. The expected count of cases of lymphoma in the homes with an HCC is
a)
79*31/215
b)
10*21/215
c)
79*31/10
d)
136*31/215
35.
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
a)
10.36
b)
11
c)
11.84
d)
12
36.
How do you find degrees of freedom?
a)
one less than the possible genotypes
b)
one less than the possible phenotypes
c)
total number divided 2
d)
total number times 2
37.
Observed in the wild are 10 circles, 20 squares and 30 triangles. The ratio for this particular population is 2:3:5
observed: 10 circles expected: 12
observed 20 squares expected : 18
observed 30 triangles expected: 30
What is the degrees of freedom?
observed: 10 circles expected: 12
observed 20 squares expected : 18
observed 30 triangles expected: 30
What is the degrees of freedom?
a)
1
b)
2
c)
3
d)
4
38.
What are the degrees of freedom?
a)
3
b)
2
c)
1
d)
9.488
39.
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
40.
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
41.
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 Hispanic, 12% are African American, 8% are Asian, and the rest are defined as other.
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
42.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
43.
The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the following school year. She wants to know if each type of food will be equally popular so she can start ordering supplies. To find out, she selects a random sample of 100 students and asks them, "Which type of food do you prefer: Asian food, Mexican food, pizza, or hamburgers?" Here are the data in the table provided. Identify the p-value and decide which of the following is the most appropriate conclusion?
a)
Because 0.0129 is less than α = 0.05, fail to reject H0. There is convincing evidence that the food choices are equally popular.
b)
Because 0.0129 is less than α = 0.05, reject H0. There is convincing evidence that the food choices are not equally popular.
c)
Because 0.0289 is less than α = 0.05, reject H0. There is convincing evidence that the food choices are not equally popular.
d)
Because 0.0289 is less than α = 0.05, fail to reject H0. There is not convincing evidence that the food choices are equally popular.
44.
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 expected counts for spinning a 5 will be
a)
5
b)
10
c)
11.1
d)
20
45.
Recent revenue shortfalls in a midwestern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 25% tuition increase. It was determined that such an increase was needed simply to compensate for the lost support from the state. Separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the university's budget at current levels. The results are in the table provided. Why hypotheses would be appropriate for performing a chi-square test?
a)
The null hypothesis is that the closer students get to graduation, the less likely they are to be opposed to tuition increases. The alternative is that how close students are to graduation makes no difference in their opinion.
b)
The null hypothesis is that the mean number of students who are strongly are opposed is the same for each of the 4 years. The alternative is that the mean is different for at least 2 of the 4 years.
c)
The null hypothesis is that the distribution of student opinion about the proposed tuition increase is the same for each of the 4 years at the university. The alternative is that the distribution is different for at least 2 of the 4 years.
d)
The null hypothesis is that year in school and student opinion about the tuition increase in the sample are independent. The alternative is that these variables are dependent.
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