Question

For these binomial settings, give the parameters n and p. a) Orchid flowers can be “left-handed” or “right-handed” depending on the position of certain structures. 25% of flowers are left-handed. In a sample of 18 orchid flowers from separate plants, we count the number of left-handed flowers. n = ____________ p = _______________

b) When a tall pea plant is crossed with a dwarf pea plant, Medelian genetics predict that 3/4ths of the offspring will be tall (the gene for dwarfism is recessive). Such a cross produced 10 offspring; we will count how many are tall plants. n = ____________ p = _______________

c) A recent study from the American Enterprise Institute found that only 26% of poor adults ages 18 to 55 are married. We select a random sample of 60 (independent) adults with incomes below the poverty threshold, and ask them if they are married. n = ____________ p = _______________

Answer 1

1. Orchid flowers can be “left-handed” or “right-handed” depending on the position of certain structures. 25% of flowers are left-handed. In a sample of 18 orchid flowers from separate plants, we count the number of left-handed flowers. Here Sample size =18 and proportion is 25%=0.25, Therefore n=18 p=0.25
2. When a tall pea plant is crossed with a dwarf pea plant, Medellin genetics predict that 3/4ths of the offspring will be tall (the gene for dwarfism is recessive). Such a cross produced 10 offspring; we will count how many are tall plants. here sample size is 10 and proportion is 3/4 =0.75 Therefore n = 10 and p=0.75
3. A recent study from the American Enterprise Institute found that only 26% of poor adults ages 18 to 55 are married. We select a random sample of 60 (independent) adults with incomes below the poverty threshold, and ask them if they are married. Here n = 60 and p=0.26

So a) n=18 p=0.25

b) n=10 p=0.75

c) n=60 p=0.26