Answer:
The percentage of workers not wearing the helmets is 5.3 %.
Step-by-step explanation:
A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence
total workers = 900
Not wearing helmet = 48
Percentage which are not wearing the helmets
= %
Answer:
The sample size n = 4225
Step-by-step explanation:
We will use maximum error formula =
but we will find sample size "n"
Squaring on both sides , we get
Given 99% confidence interval (z value) = 2.56
given maximum error = 0.02
n≤ ( here S.D = p(1-p) ≤ 1/2
on simplification , we get n = 4225
<u>Conclusion</u>:
The sample size of two samples is n = 4225
<u>verification</u>:-
We will use maximum error formula = =
= 0.0196
substitute all values and simplify we get maximum error is 0.02
