Your little brother has a career batting average of 0.233. You want to determine the probability that he will have a batting average of over 0.250 next season when he will be up to bat 40 times. Are the conditions met so that the sample proportion pwill be approximately normal?

Yes. There is a large sample n>30 so the sample proportion must be normal.

Yes. 400.25010 so the conditions are satisfied.

No. p^ can only be normal if the sample data are normally distributed.

No. 400.233<10 so the conditions are not satisfied.