Question
In: Statistics and Probability
A social scientist is interested in determining if there is a significant difference in the proportion...
A social scientist is interested in determining if there is a significant difference in the proportion of people who report working full time between two groups: those with a high school education or less (Group 1) and those with an associates’s degree or higher (Group 2). Using data from the General Social Survey, the researcher obtains the following table:
Education Working Full Time Other Employment Status Total
No College (Group 1) 500 764 1264
At Least Some College (Group 2) 412 298 710
What is the lower bound of the 95% confidence interval for the difference in the proportion of people working full time with a high-school education or less and those working full time with an associate's degree or higher, to three decimal places? Take all calculations toward the answer to four (4) decimal places.
Solutions
orchestra answered 2 years agoRelated Solutions
A social scientist is interested in determining if there is a significant difference in the proportion...
A social scientist is interested in determining if there is a
significant difference in the proportion of people who report
working full time between two groups: those with a high school
education or less (Group 1) and those with an associates’s degree
or higher (Group 2). Using data from the General Social Survey, the
researcher obtains the following table:
Education
Working Full Time
Other Employment Status
Total
No College (Group 1)
500
764
1264
At Least Some College (Group 2)...
A stock market investor is interested in determining whether there is a significant difference in the...
A stock market investor is interested in determining whether
there is a significant difference in the P/E (price to earnings)
ratio for companies from one year to the next. Six companies are
randomly selected and their P/E ratios for Year 1 and Year 2 are
recorded. Are the P/E ratios for Year 1 greater than for Year 2?
Use a 10% level of significance.
Company
c
Year 1
16
29
36
23
12
19
Year 2
13
25
31
20...
A stock market investor is interested in determining whether there is a significant difference in the...
A stock market investor is interested in determining whether
there is a significant difference in the P/E (price to earnings)
ratio for companies from one year to the next. Six companies are
randomly selected and their P/E ratios for Year 1 and Year 2 are
recorded. Are the P/E ratios for Year 1 greater than for Year 2?
Use a 10% level of significance.
Company
c
Year 1
16
29
36
23
12
19
Year 2
13
25
31
20...
A businesswomen was interested in determining whether there is a significant difference in the average monthly...
A businesswomen was interested in
determining whether there is a significant difference in the
average monthly cost per child for childcare outside the home
between state supported facilities and privately owned facilities.
Two independent random samples were selected yielding the following
information:
State Supported
Facilities
Privately Owned
facilities
Sample Size
64
64
Sample Mean
725
675
Standard Deviation
95
80
Find a 90% confidence interval for the true difference in
average monthly cost of the childcare.
Based on the...
A social worker was interested in determining whether there is a significance difference in the average...
A social worker was interested in determining whether there is a
significance difference in the average monthly cost per child for
childcare outside the home between state supported facilities and
privately owned facilities. Two independent random samples yielded
the following information:
State Supported Facilities
(population 1)
Privately Owned Facilities
(population 2)
Sample Size
64
64
Sample Mean
705
675
Standard
Deviation
95
80
Which Excel will calculate the test statistic?
a.
=(705-675)/(SQRT(95/64+80/64))
b.
=(705-675)/(SQRT(95^2/8+80^2/8))
c.
=(705-675)/(SQRT(95/8+80/8))
d.
=(705-675)/(SQRT(95^2/64+80^2/64))
.You are interested in determining whether there is a statistically significant difference between economics and political...
.You are interested in determining whether there is a
statistically significant difference between
economics and political science majors in terms of their overall
grade point average (GPA). You
randomly sample 10 economics majors and 16 political science
majors. You find that the average
economist has a 3.0 GPA with a standard deviation of 0.4, and the
average political scientist has
a 3.4 GPA with a standard deviation of 0.3. Conduct a two-tailed
hypothesis test using
significance level α = 0.05....
A political scientist is interested in the question of whether or not there is a difference...
A political scientist is interested in the question of whether
or not there is a difference between Republicans and Democrats when
it comes to their involvement in voluntary associations. Using a
25-point scale to measure involvement in voluntary associations,
and collecting information from a random sample of 17 Republicans
and 12 Democrats, the political scientist discovers the
following:
Republicans: Mean of 12.56, standard
deviation of 3.77
Democrats: Mean of 16.43, standard
deviation of 4.21
Test the null hypothesis at the...
the leaders of the study are interested in the determining whether there is a difference in...
the leaders of the study are interested in the determining
whether there is a difference in mean annual contributions for
individuals covered by TSA's and those with 401(k) retirements
program. you can use the results form the following table to test
if the population mean of individual covered by TSAs is higher than
those covered by 401(k).
TSA 401(K)
n1 = 8 n2=10
x1= 322.5 x2=298.3
s1=48.3 s2= 53.3
1. Formulate the appropriate null and alternative hypotheses
2....
1. The University of Florida is interested in determining if there is a difference in the...
1. The University of
Florida is interested in determining if there is a difference in
the proportion of male students that work versus female students,
so they send out a survey with a question that asks, "Do you
currently, or have you, worked a job while taking classes at UF?"
Out of 874 males (group 2) that responded, 396 said yes, and out of
the 902 females (group 1) that responded, 489 said yes.
(Males - Females)
Find the point...
A cereal company is interested in determining if there is a difference in the variation of...
A cereal company is interested in determining if there is a
difference in the variation of the weights for 24-ounce and
48-ounce boxes of cereal. A random sample of 18
(eighteen) 24-ounce boxes of cereal produced a sample variance
(S12) of 0.0049 oz2. A
sample of thirty-one (31) 48-ounce boxes of cereal produced a
sample variance (S22) of 0.006
oz2. Use the sample information to construct
a 95% confidence interval estimate for the true population ratio
of. The point estimate for the ratio...
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