(a) In performing this statistical test, state the hypotheses. O Họ: 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 O Họ: 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 O 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 O 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 O Họ: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same 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 =

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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(e) Using the statistical table, the p-value is 0.005 < p-value < 0.01 +
(f) Based on the p-value, those conducting the test should fail to reject +
the null hypothesis at the significance level of 0.025.
(g) What is the appropriate conclusion?
O There is sufficient evidence to conclude the distribution of customers apples purchased is the same for each season.
O There is sufficient 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 apples purchased is not the same for each season.
There is insufficient evidence to conclude the total number of customers for each season are not all the same.
O There is insufficient evidence to conclude the distribution of apples purchased is not the same for each season.
Transcribed Image Text:(e) Using the statistical table, the p-value is 0.005 < p-value < 0.01 + (f) Based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of 0.025. (g) What is the appropriate conclusion? O There is sufficient evidence to conclude the distribution of customers apples purchased is the same for each season. O There is sufficient 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 apples purchased is not the same for each season. There is insufficient evidence to conclude the total number of customers for each season are not all the same. O There is insufficient evidence to conclude the distribution of apples purchased is not the same for each season.
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 0.025. 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
1422
1540
1481
1480
5923
(a) In performing this statistical test, state the hypotheses.
O 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
O Họ: 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
O 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
O Ho: the distribution of apples people purchased is the same for each season vs. HẠ: the distribution of apples people purchased is not the same for each
season
O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same 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 =
Transcribed Image Text: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 0.025. 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 1422 1540 1481 1480 5923 (a) In performing this statistical test, state the hypotheses. O 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 O Họ: 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 O 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 O Ho: the distribution of apples people purchased is the same for each season vs. HẠ: the distribution of apples people purchased is not the same for each season O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same 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 =
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