Aw, nuts! A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27%

Question:

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.

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