Answered: A restaurant manager suspects 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

See similar textbooks

Related questions

Question

A restaurant manager suspects that service declines during off-peak hours. To investigate, he selects a random sample of 100 customers who dined in his restaurant during peak hours and a random sample of 70 customers who dined in his restaurant during off-peak hours. Each customer rated the service on a scale of 1 to 5, where 1 = highly dissatisfied and 5 = highly satisfied. The results are displayed in the tables.

Observed counts:

Expected counts:

The manager would like to test these hypotheses:

H₀: There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
H_a: There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.

The conditions for inference are met. What is the value of the chi-square test statistic and P-value of this test?

Find the chi-square table here.

χ^‑2 = 13.88. The P-value is between 0.005 and 0.01.

χ^‑2 = 13.88. The P-value is between 0.10 and 0.15.

χ^‑2 = 15.82. The P-value is between 0.0025 and 0.005.

χ^‑2 = 15.82. The P-value is between 0.05 and 0.10.