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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

MATLAB: An Introduction with Applications
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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sizes of their customers follows the following A fine dining restaurant claims that the SHOP ....…..…...........ng distrution www----- 3 people 2 people 10% 35% 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 3 people 7 (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 b (d) The test statistic follows a chi-square distribution with df = 81 + 4 people 18% (a) In performing this statistical test, state the hypotheses. O 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 O 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 O 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 (e) Using the statistical table, the p-value is 0.01 < p-value < 0.025 + 4 people Check 4 people 16 p (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS= (f) Based on the p-value, those conducting the test should fail to reject the null hypothesis at the significance level of 0.05. (g) What is the appropriate conclusion? There is sufficient evidence to conclude the distribution of customers for each group is not the same as claimed by the restaurant. O There is sufficient evidence to conclude the distribution of customers for each group is the same as claimed by the restaurant. There is sufficient evidence to conclude the proportions of customers for each group are not all the same. O There is insufficient evidence to conclude the distribution of customers for each group is not the same as claimed by the restaurant. O There is insufficient evidence to conclude the proportions of customers for each group are not all the same. 4+ people 37% 4+ people 4+ people 27
Transcribed Image Text:sizes of their customers follows the following A fine dining restaurant claims that the SHOP ....…..…...........ng distrution www----- 3 people 2 people 10% 35% 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 3 people 7 (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 b (d) The test statistic follows a chi-square distribution with df = 81 + 4 people 18% (a) In performing this statistical test, state the hypotheses. O 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 O 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 O 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 (e) Using the statistical table, the p-value is 0.01 < p-value < 0.025 + 4 people Check 4 people 16 p (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS= (f) Based on the p-value, those conducting the test should fail to reject the null hypothesis at the significance level of 0.05. (g) What is the appropriate conclusion? There is sufficient evidence to conclude the distribution of customers for each group is not the same as claimed by the restaurant. O There is sufficient evidence to conclude the distribution of customers for each group is the same as claimed by the restaurant. There is sufficient evidence to conclude the proportions of customers for each group are not all the same. O There is insufficient evidence to conclude the distribution of customers for each group is not the same as claimed by the restaurant. O There is insufficient evidence to conclude the proportions of customers for each group are not all the same. 4+ people 37% 4+ people 4+ people 27
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