In one of Mendel's experiments with plants 1064 offspring consisted of 787 plants with long stems

Question: #345

In one of Mendel's experiments with plants, 1064 offspring consisted of 787 plants with long stems. According to Mendel's theory, 3/4 of the offspring plants should have long stems. Assuming that Mendel's proportion of 3/4 is correct, find the probability of getting 787or fewer plants with long stems among 1064 offspring plants. Based on the result, is 787 offspring plants with long stems unusually low? What does the result imply about Mendel's claimed proportion of 3/4?

Solution: #363

In one of Mendel's experiments with plants 1064 offspring consisted of 787 plants with long stems

We have n = 1064 and p = 0.75

Since np = 1064*0.75 = 798 and n (1 – p) = 1064*0.25 = 266 are greater ...