Question
Past enrollment data indicates that 58% of the students taking Elements of Statistics online at FHSU come from families of size four or larger. Is
Past enrollment data indicates that 58% of the students taking Elements of Statistics online at FHSU come from families of size four or larger. Is the enrollment in this semester's online class significantly different from this claim, as measured statistically? Justify your answer through a formal hypothesis testing procedure with a 1% level of significance. After typing out a) and b) below, use scratch paper to identify all variables from the given information using the correct symbols (s, , , x-bar, n, p, , etc.), then go to the templates tab in the Unit 3 Excel Guide (part 1) and determine which template to use, based on the claim in the problem. Copy and paste the entire template (including title) to the right of the problem using the instructions in the blue-shaded area above. Use cell references from the completed template to answer parts c) - g). Next, give the conclusion of your hypothesis test (choose "reject the null hypothesis" or "fail to reject the null hypothesis") based on the test statistic and the p-value and explain why you chose your conclusion. Finally, give an interpretive sentence. Follow examples given in the Unit 3 Excel Guide for correct wording.
PROVIDE THE FOLLOWING INFORMATION. FOR EACH STATISTIC, USE A CELL REFERENCE FROM YOUR TEMPLATE: | ||||||||||
a) | H0: | |||||||||
b) | H1: | |||||||||
c) | Sample proportion (p-hat): | |||||||||
d) | Critical Value: | |||||||||
e) | Sample's Test Statistic: | |||||||||
f) | P-value: | |||||||||
CONCLUSION OF HYPOTHESIS TEST BASED ON TEST STATISTIC AND P-VALUE AND EXPLAIN WHY: | ||||||||||
FINAL INTERPRETIVE SENTENCE: | ||||||||||
1 | Female | 25.5 | 145.0 | 34 | 143.0 | 4 | Brown |
2 | Female | 24.5 | 180.0 | 41 | 184.5 | 4 | Red |
3 | Female | 23.5 | 161.5 | 29 | 161.5 | 3 | Brown |
4 | Female | 24.5 | 160.0 | 48 | 161.5 | 8 | Brown |
5 | Female | 24.0 | 170.0 | 36 | 172.0 | 5 | Brown |
6 | Male | 27.0 | 183.0 | 27 | 182.0 | 4 | Brown |
7 | Female | 25.5 | 174.0 | 45 | 171.5 | 3 | Brown |
8 | Male | 26.5 | 172.5 | 21 | 172.5 | 5 | Red |
9 | Female | 25.5 | 142.0 | 23 | 142.0 | 5 | Brown |
10 | Male | 26.5 | 180.0 | 23 | 180.0 | 4 | Brown |
11 | Male | 25.0 | 172.5 | 51 | 179.0 | 10 | Brown |
12 | Male | 23.0 | 182.5 | 21 | 180.0 | 3 | Black |
13 | Female | 22.5 | 159.0 | 29 | 160.0 | 9 | Blonde |
14 | Male | 25.5 | 168.0 | 28 | 166.5 | 5 | Brown |
15 | Female | 23.0 | 159.0 | 33 | 157.5 | 4 | Brown |
16 | Female | 23.0 | 160.0 | 23 | 156.0 | 3 | Brown |
17 | Male | 26.0 | 179.0 | 41 | 184.0 | 5 | Brown |
18 | Male | 28.0 | 189.0 | 28 | 187.0 | 4 | Brown |
19 | Female | 23.0 | 162.5 | 37 | 163.0 | 6 | Brown |
20 | Female | 23.0 | 181.0 | 24 | 174.0 | 7 | Red |
21 | Female | 20.0 | 160.0 | 20 | 160.0 | 5 | Brown |
22 | Female | 22.0 | 157.5 | 34 | 162.0 | 2 | Brown |
23 | Female | 23.5 | 169.0 | 27 | 169.0 | 5 | Red |
24 | Male | 26.0 | 173.0 | 22 | 170.0 | 4 | Brown |
25 | Female | 24.0 | 162.5 | 27 | 164.5 | 4 | Blonde |
26 | Female | 26.5 | 152.5 | 38 | 157.5 | 7 | Brown |
27 | Female | 23.0 | 163.0 | 32 | 165.0 | 2 | Brown |
28 | Female | 25.0 | 167.5 | 32 | 165.0 | 3 | Brown |
29 | Female | 24.5 | 157.5 | 26 | 155.0 | 3 | Brown |
30 | Female | 25.5 | 171.0 | 37 | 167.5 | 12 | Blonde |
31 | Female | 21.5 | 157.5 | 34 | 158.0 | 5 | Brown |
32 | Female | 25.5 | 165.0 | 19 | 169.0 | 7 | Brown |
33 | Female | 25.5 | 170.0 | 24 | 168.0 | 4 | Purple |
34 | Female | 21.0 | 167.0 | 24 | 167.0 | 4 | Black |
35 | Female | 24.0 | 170.0 | 20 | 170.0 | 3 | Blonde |
36 | Male | 29.5 | 188.0 | 34 | 189.5 | 4 | Blonde |
37 | Female | 25.0 | 177.0 | 41 | 173.0 | 5 | Blonde |
38 | Male | 30.0 | 185.5 | 31 | 185.5 | 1 | Black |
39 | Male | 26.5 | 179.5 | 31 | 177.5 | 3 | Brown |
40 | Female | 25.0 | 170.0 | 45 | 168.0 | 3 | Blonde |
41 | Male | 28.0 | 187.0 | 21 | 188.0 | 7 | Black |
42 | Female | 23.0 | 163.0 | 28 | 164.0 | 3 | Red |
43 | Male | 24.5 | 181.0 | 38 | 183.0 | 4 | Brown |
44 | Female | 23.5 | 166.5 | 29 | 169.5 | 2 | Brown |
45 | Male | 24.5 | 178.0 | 34 | 176.5 | 2 | Brown |
46 | Female | 24.0 | 167.0 | 18 | 167.0 | 3 | Brown |
47 | Female | 24.0 | 186.0 | 50 | 183.5 | 4 | Brown |
48 | Female | 25.5 | 171.5 | 24 | 171.0 | 5 | Brown |
49 | Female | 25.0 | 181.5 | 25 | 179.5 | 6 | Black |
50 | Male | 25.5 | 177.5 | 39 | 175.0 | 4 | Black |
51 | Female | 25.0 | 169.0 | 19 | 170.0 | 3 | Red |
52 | Female | 24.0 | 172.5 | 22 | 173.5 | 2 | Blonde |
53 | Male | 29.0 | 188.0 | 29 | 196.0 | 4 | Brown |
54 | Male | 26.5 | 169.0 | 25 | 172.0 | 5 | Brown |
55 | Female | 24.0 | 160.0 | 25 | 160.0 | 6 | Brown |
56 | Female | 26.0 | 170.0 | 37 | 168.0 | 6 | Blonde |
57 | Female | 22.5 | 155.0 | 27 | 153.0 | 4 | Brown |
58 | Female | 23.0 | 155.0 | 20 | 157.5 | 4 | Brown |
59 | Female | 24.0 | 162.5 | 23 | 160.0 | 6 | Black |
60 | Female | 23.0 | 170.0 | 21 | 171.0 | 5 | Blonde |
61 | Male | 28.0 | 183.0 | 28 | 180.0 | 4 | Brown |
62 | Female | 23.0 | 154.0 | 33 | 154.0 | 4 | Brown |
63 | Male | 27.0 | 172.5 | 18 | 173.0 | 7 | Brown |
64 | Female | 20.0 | 160.0 | 31 | 165.0 | 5 | Blonde |
65 | Male | 26.5 | 172.5 | 21 | 175.5 | 5 | Brown |
66 | Female | 23.0 | 159.0 | 19 | 160.0 | 4 | Brown |
67 | Male | 25.0 | 168.0 | 25 | 170.0 | 3 | Black |
68 | Male | 28.0 | 170.5 | 36 | 178.0 | 2 | Black |
69 | Female | 22.0 | 160.0 | 49 | 156.0 | 8 | Red |
70 | Female | 28.5 | 161.5 | 41 | 157.0 | 2 | Blonde |
71 | Male | 26.0 | 175.0 | 20 | 179.5 | 4 | Brown |
72 | Female | 23.0 | 156.0 | 22 | 160.0 | 3 | Blonde |
73 | Male | 25.0 | 175.0 | 27 | 177.0 | 4 | Brown |
74 | Male | 27.5 | 184.0 | 18 | 191.5 | 4 | Blonde |
75 | Female | 23.0 | 161.0 | 25 | 165.0 | 8 | Blonde |
76 | Female | 24.0 | 160.0 | 27 | 158.0 | 4 | Brown |
77 | Female | 25.5 | 164.0 | 25 | 172.5 | 11 | Brown |
78 | Male | 26.0 | 178.0 | 48 | 180.0 | 4 | Brown |
79 | Male | 28.0 | 186.0 | 21 | 183.0 | 5 | Brown |
80 | Female | 23.0 | 161.0 | 26 | 161.5 | 4 | Brown |
81 | Male | 23.5 | 162.5 | 42 | 162.5 | 4 | Blonde |
82 | Female | 27.0 | 169.0 | 31 | 170.0 | 1 | Brown |
83 | Female | 23.5 | 165.0 | 28 | 165.0 | 1 | Blonde |
84 | Male | 28.0 | 180.0 | 25 | 172.0 | 5 | Red |
85 | Female | 25.5 | 176.0 | 21 | 172.0 | 9 | Blonde |
86 | Male | 25.5 | 183.0 | 18 | 186.0 | 3 | Brown |
87 | Female | 26.0 | 171.0 | 25 | 172.0 | 12 | Brown |
88 | Female | 24.0 | 175.5 | 38 | 176.0 | 6 | Blonde |
89 | Female | 22.0 | 165.0 | 27 | 167.0 | 11 | Brown |
90 | Male | 28.0 | 175.0 | 39 | 182.0 | 3 | Black |
91 | Male | 28.0 | 188.0 | 33 | 189.0 | 7 | Brown |
92 | Female | 24.0 | 167.5 | 18 | 163.5 | 5 | Blonde |
93 | Female | 20.5 | 167.5 | 36 | 153.5 | 5 | Black |
94 | Female | 22.0 | 171.0 | 19 | 174.0 | 4 | Red |
95 | Male | 26.0 | 180.5 | 28 | 180.5 | 5 | Brown |
96 | Female | 25.0 | 167.5 | 22 | 165.0 | 3 | Brown |
97 | Female | 25.5 | 154.0 | 23 | 155.5 | 7 | Brown |
98 | Female | 21.0 | 158.0 | 25 | 157.0 | 2 | Brown |
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