ACTIVITY A. Compute the z for each given claim (po), observed proportion (p ) and the sample size (n). 1. po= 10%, þ= .30, n = 100 2. po= 0.12, p= 0.32, n= 248 3. Po= 20%, p = .58, n = 312

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EXAMPLE
1. Compute the z for the following:
2. Mr. Dela Cruz asserts that fewer than 5% of the bulbs that he sells are
5
; po = 10% = 0.1
74
defective. Suppose 300 bulbs are randomly selected, each are tested and
10 defectives bulbs are found. Compute the z for the given claim.
n= 74; p :
5
p =
- = 0.068 ; q0= 1 –po =1 – 0.1 = 0.9
74
Given: n = 300, p =
10
= 0.033 ; po = 5% = 0.05
300
p- Po
qo=1-0.05 = 0.95
0.068 – 0.1
Po¶o
(0.1)(0.9)
р- Ро
0.033 – 0.05
(0.05)(0.95)
Po9o
V
74
- 0.032
- 0.032 - 0.032
300
|0.09
V0.001
0.032
– 0.017
- 0.017
- 0.017
=-1.35
V 74
0.0475
V0.00016 0.0126
z =-1
300
z=-1.35
Transcribed Image Text:EXAMPLE 1. Compute the z for the following: 2. Mr. Dela Cruz asserts that fewer than 5% of the bulbs that he sells are 5 ; po = 10% = 0.1 74 defective. Suppose 300 bulbs are randomly selected, each are tested and 10 defectives bulbs are found. Compute the z for the given claim. n= 74; p : 5 p = - = 0.068 ; q0= 1 –po =1 – 0.1 = 0.9 74 Given: n = 300, p = 10 = 0.033 ; po = 5% = 0.05 300 p- Po qo=1-0.05 = 0.95 0.068 – 0.1 Po¶o (0.1)(0.9) р- Ро 0.033 – 0.05 (0.05)(0.95) Po9o V 74 - 0.032 - 0.032 - 0.032 300 |0.09 V0.001 0.032 – 0.017 - 0.017 - 0.017 =-1.35 V 74 0.0475 V0.00016 0.0126 z =-1 300 z=-1.35
АCTIVITY
A. Compute the z for each given claim (po), observed proportion ( p ) and the sample size (n).
1. po= 10%, p = 30, n = 100
2. po = 0.12, p=0.32, n = 248
3. Po= 20%, p = .58, n= 312
B. Compute the z for the given word problem.
1. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among
25,468 newborn children. The sample proportion of boys was 0.5172.
2. A politician claims that she will receive 60% of the votes in the upcoming election. Of a random sample of 200
voters, there were 100 who will surely vote for her.
Transcribed Image Text:АCTIVITY A. Compute the z for each given claim (po), observed proportion ( p ) and the sample size (n). 1. po= 10%, p = 30, n = 100 2. po = 0.12, p=0.32, n = 248 3. Po= 20%, p = .58, n= 312 B. Compute the z for the given word problem. 1. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. 2. A politician claims that she will receive 60% of the votes in the upcoming election. Of a random sample of 200 voters, there were 100 who will surely vote for her.
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