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Sagot :
Answer:
Yes the sample can be use to make inference
Step-by-step explanation:
The inference is possible if the conditions:
p*n > 10 and q*n > 10
where p and q are the proportion probability of success and q = 1 - p
n is sample size
Then p = 12 / 30 = 0,4 q = 1 - 0,4 q = 0,6
And p*n = 0,4 * 30 = 12 12 > 10
And q*n = 0,6 * 30 = 18 18 > 10
Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met
To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.
No, the sample size is not less than 10% of the population size,
Given:
The total number of council member are 200.
The randomly selected members are 30 .
Calculate the ratio of randomly selected members and total number of council member.
[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]
Thus, No, the sample size is not less than 10% of the population size.
Learn more about z-interval here:
https://brainly.com/question/7204089
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