Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.01. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1442 1387 1387 1331 5547 (a) In performing this statistical test, state the hypotheses. Ho: the distribution of apples people purchased is not the same for each season vs. Ha: the distribution of apples people purchased is the same for each season Ho: the proportion of customers is the same each season vs. Ha: the proportion of customers is not the same each season Ho: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season Ho: the distribution of apples people purchased is the same for each season vs. Ha: the distribution of apples people purchased is not the same for each season Ho: the total number of apples people purchased is not the same for each season vs. Ha: the total number of apples people purchased is the same for each season (b) What is the expected number of apples purchased for each season? Fill out the table. (Round your answers to 2 decimal places, if needed.) Spring Summer Fall Winter (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 = 5546 t-distribution with df = 4 t-distribution with df = 3 chi-square distribution with df = 4 chi-square distribution with df = 3 (e) Using the statistical table, the p-value is 0.01 < p-value < 0.025 0.005 < p-value < 0.01 0.05 < p-value < 0.10 0 < p-value < 0.005 0.025 < p-value < 0.05 p-value > 0.10 (f) Based on the p-value, those conducting the test should ____ the null hypothesis at the significance level of 0.01. fail to reject reject (g) What is the appropriate conclusion? There is sufficient evidence to conclude the total number of customers for each season are not all the same. There is insufficient evidence to conclude the total number of customers for each season are not all the same. There is sufficient evidence to conclude the distribution of customers apples purchased is the same for each season. There is insufficient evidence to conclude the distribution of apples purchased is not the same for each season. There is sufficient evidence to conclude the distribution of apples purchased is not the same for each season. *Please note this is all one question, I am exceptionally confused and have tried this multiple times please help*

Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.01. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1442 1387 1387 1331 5547 (a) In performing this statistical test, state the hypotheses. Ho: the distribution of apples people purchased is not the same for each season vs. Ha: the distribution of apples people purchased is the same for each season Ho: the proportion of customers is the same each season vs. Ha: the proportion of customers is not the same each season Ho: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season Ho: the distribution of apples people purchased is the same for each season vs. Ha: the distribution of apples people purchased is not the same for each season Ho: the total number of apples people purchased is not the same for each season vs. Ha: the total number of apples people purchased is the same for each season (b) What is the expected number of apples purchased for each season? Fill out the table. (Round your answers to 2 decimal places, if needed.) Spring Summer Fall Winter (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 = 5546 t-distribution with df = 4 t-distribution with df = 3 chi-square distribution with df = 4 chi-square distribution with df = 3 (e) Using the statistical table, the p-value is 0.01 < p-value < 0.025 0.005 < p-value < 0.01 0.05 < p-value < 0.10 0 < p-value < 0.005 0.025 < p-value < 0.05 p-value > 0.10 (f) Based on the p-value, those conducting the test should ____ the null hypothesis at the significance level of 0.01. fail to reject reject (g) What is the appropriate conclusion? There is sufficient evidence to conclude the total number of customers for each season are not all the same. There is insufficient evidence to conclude the total number of customers for each season are not all the same. There is sufficient evidence to conclude the distribution of customers apples purchased is the same for each season. There is insufficient evidence to conclude the distribution of apples purchased is not the same for each season. There is sufficient evidence to conclude the distribution of apples purchased is not the same for each season. Please note this is all one question, I am exceptionally confused and have tried this multiple times please help

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Related questions

Question

Season	Spring	Summer	Fall	Winter	Total
# of apples purchased	1442	1387	1387	1331	5547

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

Ho: the distribution of apples people purchased is not the same for each season vs. Ha: the distribution of apples people purchased is the same for each season

Ho: the proportion of customers is the same each season vs. Ha: the proportion of customers is not the same each season

Ho: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season

Ho: the distribution of apples people purchased is the same for each season vs. Ha: the distribution of apples people purchased is not the same for each season

Ho: the total number of apples people purchased is not the same for each season vs. Ha: the total number of apples people purchased is the same for each season

(b) What is the expected number of apples purchased for each season? Fill out the table. (Round your answers to 2 decimal places, if needed.)