Question

A random group of students was selected from a large student conference to analyze their class in school. Is there evidence to reject the hypothesis that the number of students is equally distributed between the four classes, at = .05?

Freshman: 9

Sophomore: 9

Junior: 15

Senior: 23

A. There is not evidence to reject the claim that students are equally distributed between the four classes because the test value 7.815 < 9.429

B. There is evidence to reject the claim that the customers' preferences are distributed between the four classes because the test value 9.488 < 9.429

C. There is not evidence to reject the claim that students are equally distributed between the four classes because the test value 9.488 < 9.429

D. There is evidence to reject the claim that students are equally distributed between the four classes because the test value 7.815 < 9.429

Answer #1

Total number of students selected = 56

Now, we want to test:

Null Hypothesis: The students are equally distributed between four classes

Alternative Hypothesis: There is an unequal distribution.

Under the Null hypothesis, each class is expected to have equal number of students. So, the expected frequency of each classes will be 56/4 = 14

We will conduct Chi-sqaure goodness of fit test to conduct the test of hypothesis.

The test-statistic is

The critical value is

As the value of test-statistic = 9.429 > 7.815, we reject the null hypothesis at 5% level of significance.

Option (D) is correct

A random group of used books was selected from a warehouse to
analyze their condition. The book store believes that 22% of the
books are in excellent condition, 30% are in very good condition,
19% are in fair condition, and 29% are in poor condition. Is there
evidence to reject this hypothesis at significance level = .05?
Excellent: 21 Very Good: 31 Fair: 16 Poor: 11
A. There is not evidence to reject the claim that the books are
distributed...

A random group of oranges were selected from an orchard to
analyze their ripeness. Based on the time of year, the orchard
owner believes that 15% of the oranges are ready for picking now,
35% will be ready in three days, 30% will be ready in one week, and
20% will be ready in two weeks. Is there evidence to reject this
hypothesis at = 0.05? Ready to pick Ripe Ready in three days Ready
in one week Ready in...

At a school rally, a group of sophomore students organized a
free raffle for prizes. They claim that they put the names of all
the students in the school in the basket and they randomly drew 36
names out of the basket. Of the prize winners, 6 were freshmen, 14
were sophomores, 9 were juniors and 7 were seniors.
The results do not seem that random to you. You think it is a
little fishy that sophomores organized the raffle...

To test whether students in a higher grade level will be less
disruptive in class, a school psychologist records the number of
documented interruptions during one day of classes from nine local
high schools. The sample consisted of nine
(n = 9)
freshman, sophomore, junior, and senior high school classes. The
data for each high school class are given in the table.
High School
Class
Freshman
Sophomore
Junior
Senior
4
0
5
3
5
1
4
5
3
4
3...

To test whether students in a higher grade level will be less
disruptive in class, a school psychologist records the number of
documented interruptions during one day of classes from nine local
high schools. The sample consisted of nine
(n = 9)
freshman, sophomore, junior, and senior high school classes. The
data for each high school class are given in the table.
High School
Class
Freshman
Sophomore
Junior
Senior
0
4
3
2
5
0
3
3
4
1
4...

To test whether students in a higher grade level will be less
disruptive in class, a school psychologist records the number of
documented interruptions during one day of classes from nine local
high schools. The sample consisted of nine
(n = 9)
freshman, sophomore, junior, and senior high school classes. The
data for each high school class are given in the table.
High School
Class
Freshman
Sophomore
Junior
Senior
5
0
4
1
4
3
3
2
2
0
6...

A study was performed at a university to analyze whether the
preference for hamburgers or fried chicken is related to the gender
of the student. This table lists the results of the study.
At = .05, test the claim that the meal preference and
the gender of the student are not related.
Hamburgers
Fried Chicken
Female
15
23
Male
24
16
Group of answer choices
There is not evidence to reject the claim that the meal
preference and the gender of...

A paper described a survey of 495 undergraduate students at a
state university in the southwestern region of the United States.
Each student in the sample was classified according to class
standing (freshman, sophomore, junior, or senior) and body art
category (body piercings only, tattoos only, both tattoos and body
piercings, no body art).
Use the data in the accompanying table to determine if there is
evidence that there is an association between class standing and
response to the body...

Dr. Smith believes that there may be a difference in grades
based on if the student is a senior, junior, sophomore, or
freshman. The results are shown in Table 2. Are Dr. Smith’s grade
unequally distributed across grade levels?
Table 2: Dr. Smith’s Grade Distribution by Grade
Level
Grade
Senior
Junior
Sophomore
Freshman
Total
A
10
7
1
1
B
20
20
2
2
C
3
3
4
4
D
1
2
8
1
F
1
3
3
4
Total...

A random group of desktop computer sales was selected from an
electronic discount chain to analyze the size of
monitor purchased with the computer. The data is as
follows:
Monitor type
15" CRT
15" flat panel
17" CRT
17" flat panel
19" CRT
Number of sales
18
23
11
9
4
At the .05 level of significance, is there evidence to reject
the hypothesis that the number of monitors is
equally distributed between the five types?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago