Which workers exceeded expectations and which workers underperformed? O Exceeded: Jen, Heather, Tonya Underperformed: Erica O Exceeded: Erica and Jen Underperformed: Heather and Tonya O Exceeded: Erica Underperformed: Jen, Heather, Tonya O Exceeded: Heather and Tonya Underperformed: Erica and Jen

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Question
"0. PErica
PJen
PHeather
Tonya
H,: Not all of the pi's are as stated.
Exceeded: Heather and Tonya Underperformed:
To do so, she selects a random sample of 100 orders
from the large number of orders that were filled and
Erica and Jen
determines who filled the order. She finds that Erica
filled 56 orders, Jen filled 18, Heather filled 14, and
Tonya filled 12. The chi-square test statistic for
goodness of fit is x² = 11.20 and the P-value is
between 0.01 and 0.02.
Because the P-value is less than 0.05 Erica rejects
the null hypothesis. She completes a follow-up
analysis. Here is a table of the observed counts, the
expected counts, and the components of the chi-
square test statistic:
Erica
56
Heather Tonya
Jen
Observed
Expected
Components
18
14
10
12
10
70
10
2.8
6.4
1.6
0.4
Transcribed Image Text:"0. PErica PJen PHeather Tonya H,: Not all of the pi's are as stated. Exceeded: Heather and Tonya Underperformed: To do so, she selects a random sample of 100 orders from the large number of orders that were filled and Erica and Jen determines who filled the order. She finds that Erica filled 56 orders, Jen filled 18, Heather filled 14, and Tonya filled 12. The chi-square test statistic for goodness of fit is x² = 11.20 and the P-value is between 0.01 and 0.02. Because the P-value is less than 0.05 Erica rejects the null hypothesis. She completes a follow-up analysis. Here is a table of the observed counts, the expected counts, and the components of the chi- square test statistic: Erica 56 Heather Tonya Jen Observed Expected Components 18 14 10 12 10 70 10 2.8 6.4 1.6 0.4
A company is started by four friends. The company
was Erica's idea, so she wants to filI 70% of the
Which workers exceeded expectations and which
workers underperformed?
orders. Jen, Heather, and Tonya each agree to fill 10%
of the orders. After a successful first year, Erica wants
Exceeded: Jen, Heather, Tonya Underperformed:
Erica
to determine if the distribution of the number of orders
O Exceeded: Erica and Jen Underperformed:
Heather and Tonya
filled is adhering to the agreed-upon percentages. She
decides to test:
Exceeded: Erica Underperformed: Jen, Heather,
Hoi PErica = 0.7, Pjen = 0.1, PHeather = 0.1, PTonya = 0.1
Tonya
H,: Not all of the pi's are as stated.
Exceeded: Heather and Tonya Underperformed:
To do so, she selects a random sample of 100 orders
from the large number of orders that were filled and
Erica and Jen
determines who filled the order. She finds that Erica
filled 56 orders, Jen filled 18, Heather filled 14, and
Tonya filled 12. The chi-square test statistic for
goodness of fit is x² = 11.20 and the P-value is
between 0.01 and 0.02.
Desuse the D.alus in les then 005 Einn roinnta
Transcribed Image Text:A company is started by four friends. The company was Erica's idea, so she wants to filI 70% of the Which workers exceeded expectations and which workers underperformed? orders. Jen, Heather, and Tonya each agree to fill 10% of the orders. After a successful first year, Erica wants Exceeded: Jen, Heather, Tonya Underperformed: Erica to determine if the distribution of the number of orders O Exceeded: Erica and Jen Underperformed: Heather and Tonya filled is adhering to the agreed-upon percentages. She decides to test: Exceeded: Erica Underperformed: Jen, Heather, Hoi PErica = 0.7, Pjen = 0.1, PHeather = 0.1, PTonya = 0.1 Tonya H,: Not all of the pi's are as stated. Exceeded: Heather and Tonya Underperformed: To do so, she selects a random sample of 100 orders from the large number of orders that were filled and Erica and Jen determines who filled the order. She finds that Erica filled 56 orders, Jen filled 18, Heather filled 14, and Tonya filled 12. The chi-square test statistic for goodness of fit is x² = 11.20 and the P-value is between 0.01 and 0.02. Desuse the D.alus in les then 005 Einn roinnta
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