Question: Aw, nuts! A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27% almonds, 13% macadamia nuts, and 8% brazil nuts. To test this claim, a quality-control inspector takes a random sample of 150 nuts from the latest batch. The one-way table below displays the sample data.
Nut: Cashew Almond Macadamia Brazil
Count: 83 29 20 18
(a) State appropriate hypotheses for performing a test of the company's claim.
(b) Calculate the expected counts for each type of nut. Show your work.