A candy company produces fruit candy pieces in four different flavors watermelon, sour apple, orange

and cherry. The company claims that each flavor is equally likely to appear in a package. A statistics

student thinks that the true proportion p of cherry flavored candies is less than 0.25. She takes a

random sample of 25 candies to test the null hypothesis H0: p = 0.25 against Ha: p < 0.25.

Show whether or not conditions for performing a one-sample z test for the population proportion are

met, in order to determine the shape of the sampling distribution.