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 qualitycontrol inspector takes a random sample of 150 nuts from the latest batch. The table displays the sample data.

a. State appropriate hypotheses for performing a test of the company’s claim.

b. Calculate the expected count for each type of nut.

c. Calculate the value of the chi-square test statistic.