4. What sample size of the adults in the community should be taken so that the probability that their mean vaccination shot is less than 2 is 78%?
4. What sample size of the adults in the community should be taken so that the probability that their mean vaccination shot is less than 2 is 78%?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Use the data below in answering the tasks for PT2.
Situation:
A student conducted a survey on the COVID - 19 vaccination status of adults in their community. The survey
results are tabulated below.
Legend:
0 - No vaccination shot
1 - received first dose
2- received second dose
Respondent Sex
1
M
2
M
M
F
M
F
F
M
F
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
M
F
F
F
F
M
M
F
F
F
M
F
M
M
F
F
F
F
M
M
F
Age
49
60
71
50
37
47
30
33
47
60
53
35
55
23
20
41
39
19
25
67
52
50
45
30
27
74
42
32
48
18
Vaccination
Status
4
2
3
3
3
4
2
2
1
4
3
4
3
3
3
3
3
2
1
1
4
3
4
4
4
3
2
3
4
3
3- received first booster shot
4-received second booster shot
Respondent
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
Sex
F
M
F
F
F
M
F
M
M
M
F
M
F
F
F
M
F
F
F
M
F
F
M
F
M
Age
24
55
65
46
61
52
29
59
68
52
69
34
38
41
50
58
28
42
70
44
51
54
56
73
Vaccination
Status
2
2
1
4
3
3
3
4
3
2
3
4
1
2
4
2
3
3
4
0
3
3
4
2
4
Transcribed Image Text:B. Answer what is asked from each number using proper probability notation and units wherever possible.
1. What is the probability that a randomly selected respondent is male (let M represent the random variable)?
2. What is the probability that a certain adult in the community selected at random received at least 2 vaccination shots?
3. What is the probability that 40 randomly selected adult in the community received an average of at least 2 vaccination
shots?
4. What sample size of the adults in the community should be taken so that the probability that their mean vaccination
shot is less than 2 is 78%?
5. If there are 987 adults (18 years old and above) in the community, how may would be expected to have a vaccination
shot between 1 and 2?
6. The researchers would like to conclude that the adult community is hesitant to the COVID 19 vaccination if 87% of the
adult community received at most of 1 vaccination shot. Is the adult community hesitant to the COVID 19 vaccination?
7. According to the Department of Health, senior citizens have a mean vaccination shot is 1.36 with a standard deviation
of 1.2. The researchers would like to conclude that the senior citizens in the community is hesitant to the COVID 19
vaccination if the probability that the senior citizens in the community received an average of 1 vaccination shot is at least
80%. Are the senior citizens in the community hesitant to the COVID 19 vaccination?
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