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A fine dining restaurant claims that the group sizes of their customers follows the following distribution: 2 people 3 people 4 people 4+ people 37%

A fine dining restaurant claims that the group sizes of their customers follows the following distribution:

2 people 3 people 4 people 4+ people
37% 10% 20% 33%

Gustavo, a waiter at the restaurant, would like to test this claim. He takes a sample of 87 customers and records the observed frequencies in the following table:

2 people 3 people 4 people 4+ people
34 6 20 27

a) What is the expected frequencies of each group? Fill out the table. (Round your answers to 2 decimal places, if needed.)

2 people 3 people 4 people 4+ people

(b) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS =

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