A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students was selected from each of grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. The results are presented in the table below, grouped by the sex of the child. Top Personal Goal Boys Girls Make good grades 96 295 Be popular 32 45 Be good in sports 94 40 Reference: Ref 14-9 Which hypotheses are being tested by the chi-square test? Select one: a. The null hypothesis is that the mean top personal goal is the same for boys and girls. The alternative is that the mean is different for boys and girls. b. The null hypothesis is that the distribution of gender is the same for each of the three different top personal goals. The alternative is that this distribution is different for at least two of the three goals. c. The null hypothesis is that the proportion of those children who want to be popular is the same for boys and girls. The alternative is that this proportion is different for boys and girls. d. The null hypothesis is that a child's top personal goal and the child's gender are independent. The alternative is that these variables are dependent. e. The null hypothesis is that the distribution of top personal goals is the same for boys and girls. The alternative is that this distribution is different for boys and girls.
A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students was selected from each of grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. The results are presented in the table below, grouped by the sex of the child. Top Personal Goal Boys Girls Make good grades 96 295 Be popular 32 45 Be good in sports 94 40 Reference: Ref 14-9 Which hypotheses are being tested by the chi-square test? Select one: a. The null hypothesis is that the mean top personal goal is the same for boys and girls. The alternative is that the mean is different for boys and girls. b. The null hypothesis is that the distribution of gender is the same for each of the three different top personal goals. The alternative is that this distribution is different for at least two of the three goals. c. The null hypothesis is that the proportion of those children who want to be popular is the same for boys and girls. The alternative is that this proportion is different for boys and girls. d. The null hypothesis is that a child's top personal goal and the child's gender are independent. The alternative is that these variables are dependent. e. The null hypothesis is that the distribution of top personal goals is the same for boys and girls. The alternative is that this distribution is different for boys and girls.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students was selected from each of grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. The results are presented in the table below, grouped by the sex of the child.
Which hypotheses are being tested by the chi-square test?
|
Top Personal Goal
|
Boys
|
Girls
|
|
Make good grades
|
96
|
295
|
|
Be popular
|
32
|
45
|
|
Be good in sports
|
94
|
40
|
Reference: Ref 14-9
Which hypotheses are being tested by the chi-square test?
Select one:
a. The null hypothesis is that the mean top personal goal is the same for boys and girls. The alternative is that the mean is different for boys and girls.
b. The null hypothesis is that the distribution of gender is the same for each of the three different top personal goals. The alternative is that this distribution is different for at least two of the three goals.
c. The null hypothesis is that the proportion of those children who want to be popular is the same for boys and girls. The alternative is that this proportion is different for boys and girls.
d. The null hypothesis is that a child's top personal goal and the child's gender are independent. The alternative is that these variables are dependent.
e. The null hypothesis is that the distribution of top personal goals is the same for boys and girls. The alternative is that this distribution is different for boys and girls.
Clear my choice
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