suppose that 16% of teenagers who play video gmes would enjoy playing a new super mario game the manufacturer doesnt know this actual proportion and plans on sampling a random sample of 80 teenage game players ap stats a. Calculate the standard deviation of the sampling distribution of p. b. Are the conditions for inference met? Explain c. If a different sample size would result in the standard deviation of the sample distripution of p = 0.037, is the sample size smaller or larger than 80? Explain

Answer:Accordingly, the Necessary Sample Size is calculated as follows:

Necessary Sample Size = (Z-score) ² * StdDev * (1-StdDev) / (margin of error) ²

For example, given a 95% confidence level, 0.5 standard deviation, and a margin of error (confidence interval) of + / - 5%. Necessary Sample Size =

((1.96) ² x 0.5 (0.5)) / (0.05) ²

(3.8416 x 0.25) /.0025

0.9604 / 0.0025

384.16

So in order to get 95% confidence level, with confidence interval of + / - 5%, and standard deviation of 0.5, I have to survey 385 samples.

As I usually calculate the average value on 100 samples. So what is the confidence level I can get?

Is anyone who has experience on this can share something.