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---- opie A fine dining restaurant claims that the group sizes of their customers follows the following distribution: ---- --- - ------. 2 people 3 people 4 рeople 4+ people 39% 12% 17% 32% 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 40 21 33 (a) In performing this statistical test, state the hypotheses. O Họ: 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 O Họ; the distribution of customers for each group is the same as the observed frequencies vs. Hai the distribution of customers for each group is not the same as the observed frequencies 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 Họ: 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 Họ 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 (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 реople 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 = (d) The test statistic follows a t-distribution with df = 3 (e) Using the statistical table, the p-value is 0 < p-value < 0.005 (f) Based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of 0.025.

---- opie A fine dining restaurant claims that the group sizes of their customers follows the following distribution: ---- --- - ------. 2 people 3 people 4 рeople 4+ people 39% 12% 17% 32% 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 40 21 33 (a) In performing this statistical test, state the hypotheses. O Họ: 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 O Họ; the distribution of customers for each group is the same as the observed frequencies vs. Hai the distribution of customers for each group is not the same as the observed frequencies 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 Họ: 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 Họ 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 (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 реople 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 = (d) The test statistic follows a t-distribution with df = 3 (e) Using the statistical table, the p-value is 0 < p-value < 0.005 (f) Based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of 0.025.

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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A fine dining restaurant claims that the group sizes of their customers follows the following distribution: --------- --------- ------ 3 реople 4 people 4+ people 32% 2 people 39% 12% 17% 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: 4+ people 2 реople 3 people 4 people 40 4 21 33 (a) In performing this statistical test, state the hypotheses. 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 O Họ: 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 Họ: 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 Họ: 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 claimed by the restaurant vs. Ha: the distribution of customers for each group is the same as claimed by the restaurant (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 = (d) The test statistic follows a t-distribution with df = 3 (e) Using the statistical table, the p-value is 0 < p-value < 0.005 (f) Based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of (g) What is the appropriate conclusion? O There is insufficient evidence to conclude the proportions of customers for each group are not all the same. O There is sufficient evidence to conclude the proportions of customers for each group are not all the same. O 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 insufficient 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.
Transcribed Image Text:A fine dining restaurant claims that the group sizes of their customers follows the following distribution: --------- --------- ------ 3 реople 4 people 4+ people 32% 2 people 39% 12% 17% 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: 4+ people 2 реople 3 people 4 people 40 4 21 33 (a) In performing this statistical test, state the hypotheses. 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 O Họ: 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 Họ: 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 Họ: 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 claimed by the restaurant vs. Ha: the distribution of customers for each group is the same as claimed by the restaurant (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 = (d) The test statistic follows a t-distribution with df = 3 (e) Using the statistical table, the p-value is 0 < p-value < 0.005 (f) Based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of (g) What is the appropriate conclusion? O There is insufficient evidence to conclude the proportions of customers for each group are not all the same. O There is sufficient evidence to conclude the proportions of customers for each group are not all the same. O 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 insufficient 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.
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