The following are the different annual salaries between rural and urban U.S work
ID: 3366537 • Letter: T
Question
The following are the different annual salaries between rural and urban U.S workers. Suppose you are an analyst in which this binomial probability parameter p is unknown to you but you are still interested in carrying out the study. Though you must first estimate p with a certain level of confidence, you would also like to collect data to examine the difference between the proportion with rural and urban salaries. You obtain research funding to randomly sample 30 urban workers and 36 rural workers. The data is as follows:
U.S Workers annual salaries
Subject: Urban Workers
Salary
Subject: Rural Workers
Salary
1
$80,858
1
$95,666
2
$84,560
2
$101,836
3
$84,560
3
$110,474
4
$87,028
4
$50,308
5
$90,722
5
$53,542
6
$90,730
6
$76,898
7
$91,964
7
$79,624
8
$93,198
8
$80,354
9
$94,432
9
$82,092
10
$95,666
10
$83,326
11
$96,900
11
$85,794
12
$98,134
12
$85,794
13
$99,368
13
$87,266
14
$99,368
14
$88,262
15
$100,602
15
$88,262
16
$100,602
16
$89,496
17
$101,836
17
$90,730
18
$103,070
18
$93,198
19
$103,070
19
$94,178
20
$106,772
20
$94,432
21
$106,772
21
$96,900
22
$108,006
22
$98,134
23
$108,006
23
$104,304
24
$114,176
24
$104,304
25
$117,878
25
$105,538
26
$56,776
26
$105,538
27
$59,618
27
$109,240
28
$63,074
28
$109,240
29
$66,530
29
$110,474
30
$69,986
30
$111,708
31
$111,708
32
$112,942
33
$112,942
34
$114,176
35
$115,410
36
$116,644
Perform a statistical analysis for this project
What is the estimated 95% confidence interval (CI) of the difference in proportions between salaries of urban and rural workers?
Calculate your margin of error for this research at 95% CI.
Calculate your desired 2-sided confidence level
Do you believe that urban workers receive better salaries than rural workers?
What is your Null and Alternative hypothesis?
Please note the following:
you may copy and paste the data into Excel to facilitate analysis.
Subject: Urban Workers
Salary
Subject: Rural Workers
Salary
1
$80,858
1
$95,666
2
$84,560
2
$101,836
3
$84,560
3
$110,474
4
$87,028
4
$50,308
5
$90,722
5
$53,542
6
$90,730
6
$76,898
7
$91,964
7
$79,624
8
$93,198
8
$80,354
9
$94,432
9
$82,092
10
$95,666
10
$83,326
11
$96,900
11
$85,794
12
$98,134
12
$85,794
13
$99,368
13
$87,266
14
$99,368
14
$88,262
15
$100,602
15
$88,262
16
$100,602
16
$89,496
17
$101,836
17
$90,730
18
$103,070
18
$93,198
19
$103,070
19
$94,178
20
$106,772
20
$94,432
21
$106,772
21
$96,900
22
$108,006
22
$98,134
23
$108,006
23
$104,304
24
$114,176
24
$104,304
25
$117,878
25
$105,538
26
$56,776
26
$105,538
27
$59,618
27
$109,240
28
$63,074
28
$109,240
29
$66,530
29
$110,474
30
$69,986
30
$111,708
31
$111,708
32
$112,942
33
$112,942
34
$114,176
35
$115,410
36
$116,644
Explanation / Answer
from R we calculated the two sided t test
Welch Two Sample t-test
data: a and b
t = -0.85829, df = 62.02, p-value = 0.394
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-11246.475 4489.831
sample estimates:
mean of x mean of y
92475.40 95853.72
we fail to reject null hypothesis that difference of means is zero
c)
no, both recieve equal salaries
salary n avg salary urban $27,74,262.00 30 $92,475.40 rural $34,50,734.00 36 $95,853.72 total $62,24,996.00 66 $94,318.12Related Questions
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