A fine dining restaurant claims that the group sizes of their customers follows the following distribution: 2 people 35% 3 people 10% 3 people 7 Gustavo, a waiter at the restaurant, would like to test this claim. He takes a sample of 82 customers and records the observed frequencies in the following table: 2 people 32 4 people 18% 4 people 16 (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 (d) The test statistic follows a chi-square distribution with df = 81 + (a) In performing this statistical test, state the hypotheses. Ho: the proportions of customers for each group are all the same vs. Ha: the proportions of customers for each group are not all the same O Ho: the distribution of customers for each group is the same as the observed frequencies vs. Ha: the distribution of customers for each group is not the same as the observed frequencies Ho: the distribution of customers for each group is not the same as claimed by the restaurant vs. Ha: the distribution of customers for each group is the same as claimed by the restaurant Ho: the distribution of customers for each group is the same as claimed by the restaurant vs. Ha: the distribution of customers for each group is not the same as claimed by the restaurant O Ho: the distribution of customers for each group is not the same as the observed frequencies vs. Ha: the distribution of customers for each group is the same as the observed frequencies (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS= (e) Using the statistical table, the p-value is 0.01
A fine dining restaurant claims that the group sizes of their customers follows the following distribution: 2 people 35% 3 people 10% 3 people 7 Gustavo, a waiter at the restaurant, would like to test this claim. He takes a sample of 82 customers and records the observed frequencies in the following table: 2 people 32 4 people 18% 4 people 16 (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 (d) The test statistic follows a chi-square distribution with df = 81 + (a) In performing this statistical test, state the hypotheses. Ho: the proportions of customers for each group are all the same vs. Ha: the proportions of customers for each group are not all the same O Ho: the distribution of customers for each group is the same as the observed frequencies vs. Ha: the distribution of customers for each group is not the same as the observed frequencies Ho: the distribution of customers for each group is not the same as claimed by the restaurant vs. Ha: the distribution of customers for each group is the same as claimed by the restaurant Ho: the distribution of customers for each group is the same as claimed by the restaurant vs. Ha: the distribution of customers for each group is not the same as claimed by the restaurant O Ho: the distribution of customers for each group is not the same as the observed frequencies vs. Ha: the distribution of customers for each group is the same as the observed frequencies (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS= (e) Using the statistical table, the p-value is 0.01
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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