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.)

2 people 3 people 4 people 4+ people

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

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.)

2 people	3 people	4 people	4+ people

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

Accepted Answer

Given that 
A fine dining restaurant claims that the group sizes of their customers follows the…