Answered: A fine dining restaurant claims that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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

2 people	3 people	4 people	4+ people
36%	10%	18%	36%

Gustavo, a waiter at the restaurant, would like to test this claim. He takes a sample of 98 customers and records the observed frequencies in the following table:

2 people	3 people	4 people	4+ people
42	1	25	30

(a) In performing this statistical test, state the hypotheses.

H₀: the distribution of customers for each group is not the same as claimed by the restaurant vs. H_A: the distribution of customers for each group is the same as claimed by the restaurant

H₀: the proportions of customers for each group are all the same vs. H_A: the proportions of customers for each group are not all the same

H₀: the distribution of customers for each group is the same as the observed frequencies vs. H_A: the distribution of customers for each group is not the same as the observed frequencies

H₀: the distribution of customers for each group is the same as claimed by the restaurant vs. H_A: the distribution of customers for each group is not the same as claimed by the restaurant

H₀: the distribution of customers for each group is not the same as the observed frequencies vs. H_A: the distribution of customers for each group is the same as the observed frequencies

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