a.) Develop hypotheses that can be used to test whether the number of kids reach
ID: 3227040 • Letter: A
Question
a.) Develop hypotheses that can be used to test whether the number of kids reached is higher when the median income of the county is above $45,000.
b.) Has a statistically significant incline occurred in the number of kids reached who have a higher median income of $45,000 or above? Use = .10
c.) Calculate the value of the test statistic (to 2 decimals).
d.) What is the p-value (to 4 decimals)?
e.) What is your conclusion?
County
Kids Reached
Median Income
Median Age
Boone
495
$48,627
30.4
Callaway
912
$47,964
37.8
Cole
88
$53,931
39.2
Howard
640
$42,747
38.8
Osage
63
$51,408
39.8
Gasconade
194
$41,392
45.6
Randolph
283
$37,203
38.4
Saline
40
$39,519
38.2
Adair
549
$34,733
27.9
Audrain
211
$43,013
39.2
Carroll
434
$46,002
42.4
Chariton
194
$39,385
45.5
Knox
80
$34,481
43.6
Lewis
984
$42,071
39.3
Linn
264
$38,250
42.8
Marion
321
$42,046
39.7
Pike
528
$39,850
39.5
Ralls
199
$47,969
45.1
Shelby
492
$35,938
42.4
Scotland
10
$39,028
39.1
Sullivan
494
$36,676
40.9
Adams
3,818
$45,073
40.8
Pike
29
$39,845
42.6
Bollinger
22
$37,716
43.1
Cape Girardeau
4,269
$46,516
37.3
Christian
480
$53,730
37.6
Iron
87
$36,239
43.1
Lawrence
181
$40,597
39.6
Sainte Genevieve
24
$48,433
42.5
Madison
2,478
$35,870
42.3
Newton
65
$43,290
39.7
Pemiscot
607
$29,238
37.6
Perry
252
$47,876
39.7
Phelps
442
$41,618
34.4
Pulaski
1,200
$47,931
26.8
Scott
750
$40,651
39.7
Texas
41
$35,088
41.6
Greene
1,612
$40,337
35.4
Clinton
226
$61,720
40.1
Fayette
18
$44,722
40.1
Madison
3,022
$53,633
39.8
Macoupon
166
$49,590
42.6
Marion
10
$41,010
41.7
Monroe
536
$68,482
42.1
Montgomery
27
$41,952
42.2
Sangamon
667
$57,576
39.4
St. Clair
8,542
$50,578
37.7
Washington
290
$52,832
42.6
Crawford
503
$35,897
41.2
Franklin
3,403
$48,857
41.0
Jefferson
9,331
$54,845
38.7
Lincoln
2,693
$52,835
36.5
St. Charles
5,037
$71,077
37.8
St. Francois
1,081
$37,238
39.4
St. Louis City
24,186
$38,397
35.0
St. Louis County
37,617
$58,910
40.2
Warren
164
$50,830
40.2
Washington
1,374
$34,702
40.1
County
Kids Reached
Median Income
Median Age
Boone
495
$48,627
30.4
Callaway
912
$47,964
37.8
Cole
88
$53,931
39.2
Howard
640
$42,747
38.8
Osage
63
$51,408
39.8
Gasconade
194
$41,392
45.6
Randolph
283
$37,203
38.4
Saline
40
$39,519
38.2
Adair
549
$34,733
27.9
Audrain
211
$43,013
39.2
Carroll
434
$46,002
42.4
Chariton
194
$39,385
45.5
Knox
80
$34,481
43.6
Lewis
984
$42,071
39.3
Linn
264
$38,250
42.8
Marion
321
$42,046
39.7
Pike
528
$39,850
39.5
Ralls
199
$47,969
45.1
Shelby
492
$35,938
42.4
Scotland
10
$39,028
39.1
Sullivan
494
$36,676
40.9
Adams
3,818
$45,073
40.8
Pike
29
$39,845
42.6
Bollinger
22
$37,716
43.1
Cape Girardeau
4,269
$46,516
37.3
Christian
480
$53,730
37.6
Iron
87
$36,239
43.1
Lawrence
181
$40,597
39.6
Sainte Genevieve
24
$48,433
42.5
Madison
2,478
$35,870
42.3
Newton
65
$43,290
39.7
Pemiscot
607
$29,238
37.6
Perry
252
$47,876
39.7
Phelps
442
$41,618
34.4
Pulaski
1,200
$47,931
26.8
Scott
750
$40,651
39.7
Texas
41
$35,088
41.6
Greene
1,612
$40,337
35.4
Clinton
226
$61,720
40.1
Fayette
18
$44,722
40.1
Madison
3,022
$53,633
39.8
Macoupon
166
$49,590
42.6
Marion
10
$41,010
41.7
Monroe
536
$68,482
42.1
Montgomery
27
$41,952
42.2
Sangamon
667
$57,576
39.4
St. Clair
8,542
$50,578
37.7
Washington
290
$52,832
42.6
Crawford
503
$35,897
41.2
Franklin
3,403
$48,857
41.0
Jefferson
9,331
$54,845
38.7
Lincoln
2,693
$52,835
36.5
St. Charles
5,037
$71,077
37.8
St. Francois
1,081
$37,238
39.4
St. Louis City
24,186
$38,397
35.0
St. Louis County
37,617
$58,910
40.2
Warren
164
$50,830
40.2
Washington
1,374
$34,702
40.1
Explanation / Answer
µ = 44,792.48; = 8513.05;
H0: µ1 45000; H1: µ1 > 45000
z = (45000 - 44792) / 8513.05 = 0.0244
p-value = 0.4902
p-value > 0.1
Hence, we cannot reject the null hypothesis.
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