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fenix001 [56]
3 years ago
8

A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experienc

e in writing grants. The president randomly selected 30 members and surveyed the selected members on their grant-writing experience. Of the 30 selected members, 12 indicated that they did have the experience. Have the conditions for inference with a one-sample z -interval been met
Mathematics
1 answer:
garri49 [273]3 years ago
6 0

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

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