Question
Assume that the results of a yes/no survey question given to a random sample of male...
Assume that the results of a yes/no survey question given to a random sample of male and female subjects are summarized in a 2×2 two-way table. Use the given values of the test statistic and the significance level to test for independence between gender and response.
Given a test statistic of chi squaredχ2 equals=3.93.9 and a significance level equals=0.01, decide whether gender and response are related or not related.
Homework Answers
Answer #1
The null and alternative hypothesis is ,
Ho:The gender and response are not related
VS
H1:The gender and response are related
Now , the degrees of freedom is given by ,
df=(r-1)(c-1)=(2-1)(2-1)=1*1=1
Where , r be the total number of rows and c be the total number of columns.
The critical value is given by ,
; The Excel function is , =CHIINV(0.01,1)
Since , the test statistic is , 
Decision : Here , 
Therefore , fail to reject Ho.
Conclusion : Hence , The gender and response are not related.
Not the answer you're looking for?
Similar Questions
The table lists survey results obtained from a random sample of different crime victims. Use a...
The table lists survey results obtained from a random sample of
different crime victims. Use a 0.01 significance level to test the
claim that the type of crime is independent of whether the criminal
was a stranger. LOADING... Click the icon to view the table. a.
State the null and the alternative hypotheses. Choose the correct
answer below. A. The null hypothesis: The type of crime is somehow
related to whether the criminal is a stranger. The alternative
hypothesis: The...
Yes Maybe No Male 18 2 34 Female 8 6 42 1, Write an appropriate null...
Yes
Maybe
No
Male
18
2
34
Female
8
6
42
1, Write an appropriate null hypothesis for this analysis.
2. What is the value of the chi-square statistic?
3. What are the reported degrees of freedom?
4. What is the reported level of significance?
5. Based on the results of the chi-square test of independence
is there a statistically significant relationship between gender
and attitude toward cooperative learning?
6. What percent of male favor compulsory cooperative learning in
schools?...
Use a χ2 test to test the claim that in the given contingency table, the row...
Use a χ2 test to test the claim that in the given contingency
table, the row variable and the column variable are independent.
Responses to a survey question are broken down according to gender
and the sample results are given below. At the 0.05 significance
level, test the claim that response and gender are independent.
male: 25, 50,15
female: 20,30,10
test statistic
critical value
accept or reject
A survey described the results of a poll of working adults in Canada. Each person in...
A survey described the results of a poll of working adults in
Canada. Each person in a random sample was classified according to
gender and the number of vacation days he or she usually took each
year. The resulting data are summarized in the given table.
Days of Vacation
Gender
Male
Female
None
51
42
1-5
21
25
6-10
67
79
11-15
105
94
16-20
71
70
21-25
82
58
More than 25
118
79
(a) Is it reasonable to...
A random sample of 150 egg lovers is asked to state their gender and egg preference....
A random sample of 150 egg lovers is asked to state their gender
and egg preference. The results are recorded in the
table.
Gender
Fried
Poached
Scrambled
Boiled
Male
22
21
16
18
Female
25
13
21
4
A chi-square test is used to test the null hypothesis that gender
and egg preference are independent. Which of the following
statements is correct?
A) Fail to reject H0 at the 0.3
significance level.
B) Fail to reject H0 at the 0.1
significance level....
A random sample of 200 employees at a specific company is asked to state their gender...
A random sample of 200 employees at a specific company is asked
to state their gender and annual salary. The results are recorded
in the table.
Gender
$50,000
$75,000
$100,000
>$100,000
Male
29
34
12
20
Female
41
44
6
14
A chi-square test is used to test the null hypothesis that
gender and salary are independent. Which statement is correct?
Fail to reject H0 at the 0.10 significance level.
Fail to reject H0 at the 0.5 significance level. Reject...
*** Please answer all questions, not some. This entire discussion does count as one question w/...
*** Please answer all questions, not some. This entire
discussion does count as one question w/
parts.
---------------------------------------------------------------------------------------------------------------------------------------------------
Context - A Real Court Case
In the early 1970s, a young man challenged an Oklahoma state law
that prohibited the sale of 3.2% beer to males under age 21 but
allowed its sale to females in the same age group. The case
(Craig v. Boren, 429 U.S. 190, 1976) was ultimately heard
by the U.S. Supreme Court. The state of Oklahoma...
Residence ~ A survey by the National institute of health asked a random sample of young...
Residence ~ A survey by the National institute
of health asked a random sample of young adults aged 19-25 years
the following question: Where do you stay most often currently? The
results of the survey are summarized in the table below.
Residence
type
Gender
Female
Male
Parents' home
923
986
Another person’s place
144
132
Own place
1294
1129
Group quarters
127
119
To assess whether there is a relationship between
residence type and gender, we
conduct an appropriate hypothesis...
Response to a survey question are broken down according to employment and the sample results are...
Response to a survey question are broken down according to
employment and the sample results are given below. At the 0.10
significance level, test the claim that the response and the
employment status are independent.
Yes
No
Undecided
employed
30
15
5
unemployed
20
25
10
Claim:
Null Hypothesis:
Alternative Hypothesis:
Calculator Screen Name in Ti 183:
test statistics:
Pvalue/alpha conversion
decision:
Conclusion:
An ice cream shop conducted a survey to see if there was a relationship between gender...
An ice cream shop conducted a survey to see if there was a
relationship between gender and ice cream flavor preference.
Perform a Chi Square test of independence to determine whether
there is an association between gender and preference for ice cream
flavor.
Chocolate
Vanilla
Strawberry
Total
Men
100
120
60
280
Women
350
200
90
640
Hint: Instructions for performing this test in STATDISK can be
found in the Stat Disk User’s Manual under the heading Chi Square
Test...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 32 minutes ago
asked 35 minutes ago
asked 40 minutes ago
asked 55 minutes ago
asked 1 hour ago
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