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% 11% 18% 35% Gustavo, a waiter at the restaurant, would like to test this claim. He takes a sample of 95 customers and records the observed frequencies in the following table: 2 people 3 people 4 people 4+ people 42 3 25 25 (a) In performing this statistical test, state the hypotheses. 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 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 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 (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 chi-square distribution with df = 3 chi-square distribution with df = 94 t-distribution with df = 4 chi-square distribution with df = 4 t-distribution with df = 3 (e) Using the statistical table, the p-value is 0.05 < p-value < 0.10 0.005 < p-value < 0.01 p-value > 0.10 0.01 < p-value < 0.025 0 < p-value < 0.005 0.025 < p-value < 0.05 (f) Based on the p-value, those conducting the test should ___ the null hypothesis at the significance level of 0.025. reject fail to reject (g) What is the appropriate conclusion? There is insufficient evidence to conclude the distribution of customers for each group is not the same as claimed by the restaurant. There is sufficient evidence to conclude the distribution of customers for each group is not the same as claimed by the restaurant. There is insufficient evidence to conclude the proportions of customers for each group are not all the same. 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. PLease note this is all one quesiton but multipart, please help i've tried this multiple times but i am still confused

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% 11% 18% 35% Gustavo, a waiter at the restaurant, would like to test this claim. He takes a sample of 95 customers and records the observed frequencies in the following table: 2 people 3 people 4 people 4+ people 42 3 25 25 (a) In performing this statistical test, state the hypotheses. 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 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 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 (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 chi-square distribution with df = 3 chi-square distribution with df = 94 t-distribution with df = 4 chi-square distribution with df = 4 t-distribution with df = 3 (e) Using the statistical table, the p-value is 0.05 < p-value < 0.10 0.005 < p-value < 0.01 p-value > 0.10 0.01 < p-value < 0.025 0 < p-value < 0.005 0.025 < p-value < 0.05 (f) Based on the p-value, those conducting the test should ___ the null hypothesis at the significance level of 0.025. reject fail to reject (g) What is the appropriate conclusion? There is insufficient evidence to conclude the distribution of customers for each group is not the same as claimed by the restaurant. There is sufficient evidence to conclude the distribution of customers for each group is not the same as claimed by the restaurant. There is insufficient evidence to conclude the proportions of customers for each group are not all the same. 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. PLease note this is all one quesiton but multipart, please help i've tried this multiple times but i am still confused

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4AGP

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Related questions

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%	11%	18%	35%

Gustavo, a waiter at the restaurant, would like to test this claim. He takes a sample of 95 customers and records the observed frequencies in the following table:

2 people	3 people	4 people	4+ people
42	3	25	25

(a) In performing this statistical test, state the hypotheses.

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

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

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

(b) What is the expected frequencies of each group? Fill out the table. (Round your answers to 2 decimal places, if needed.)