A union leader claims that absences on the different days of the week are equally likely. To test this claim, a company manager collects the data shown below. Use a 0.05 significance level to test the claim. Day Mon Tue Wed Thur Fri Absences 40 15 12 23 43 a. Before doing any calculations, do the data appear to support the union leader's claim? Why or why not? A. No, absences on The and Wed are much larger than on other days B. Yes, there are roughly the same number of absences on the different days of the week C. Yes, more absences on Mon and Fri are normal D. No, absences on Mon and Fri are much larger than on other days b. State Upper H 0 . A. At least one proportion is different than claimed B. p Subscript Mon Baseline equals 1 divided by 4 comma p Subscript Tue Baseline equals 1 divided by 4 comma p Subscript Wed Baseline equals 1 divided by 6 comma p Subscript Thur Baseline equals 1 divided by 7 comma p Subscript Fri Baseline equals 1 divided by 5 C. p Subscript Mon Baseline equals p Subscript Tue Baseline equals p Subscript Wed Baseline equals p Subscript Thur Baseline equals p Subscript Fri Baseline equals 1 divided by 5 D. p Subscript Mon Baseline not equals p Subscript Tue Baseline not equals p Subscript Wed Baseline not equals p Subscript Thur Baseline not equals p Subscript Fri Baseline nbsp c. Find the sum of the observed frequencies: nothing (enter a whole number) d. Calculate the expected frequency for each day nothing (give 2 decimal places) e. Calculate the test statistic. Which of these options is closest to its value? A. chi squared equals 32.65 B. chi squared equals 31.90 C. chi squared equals 30.42 D. chi squared equals 27.37 f. State the value of the critical value: nothing (give 3 decimal places) g. State the technical conclusion. A. Reject Upper H 0 B. Do not reject Upper H 0 h. State the final conclusion. A. There is not sufficient sample evidence to support the claim. B. The sample data support the claim. C. There is sufficient evidence to warrant rejection of the claim. D. There is not sufficient evidence to warrant rejection of the claim. i. Does the union leader appear to be correct? A. Yes B. No
A union leader claims that absences on the different days of the week are equally likely. To test this claim, a company manager collects the data shown below. Use a 0.05 significance level to test the claim. Day Mon Tue Wed Thur Fri Absences 40 15 12 23 43 a. Before doing any calculations, do the data appear to support the union leader's claim? Why or why not? A. No, absences on The and Wed are much larger than on other days B. Yes, there are roughly the same number of absences on the different days of the week C. Yes, more absences on Mon and Fri are normal D. No, absences on Mon and Fri are much larger than on other days b. State Upper H 0 . A. At least one proportion is different than claimed B. p Subscript Mon Baseline equals 1 divided by 4 comma p Subscript Tue Baseline equals 1 divided by 4 comma p Subscript Wed Baseline equals 1 divided by 6 comma p Subscript Thur Baseline equals 1 divided by 7 comma p Subscript Fri Baseline equals 1 divided by 5 C. p Subscript Mon Baseline equals p Subscript Tue Baseline equals p Subscript Wed Baseline equals p Subscript Thur Baseline equals p Subscript Fri Baseline equals 1 divided by 5 D. p Subscript Mon Baseline not equals p Subscript Tue Baseline not equals p Subscript Wed Baseline not equals p Subscript Thur Baseline not equals p Subscript Fri Baseline nbsp c. Find the sum of the observed frequencies: nothing (enter a whole number) d. Calculate the expected frequency for each day nothing (give 2 decimal places) e. Calculate the test statistic. Which of these options is closest to its value? A. chi squared equals 32.65 B. chi squared equals 31.90 C. chi squared equals 30.42 D. chi squared equals 27.37 f. State the value of the critical value: nothing (give 3 decimal places) g. State the technical conclusion. A. Reject Upper H 0 B. Do not reject Upper H 0 h. State the final conclusion. A. There is not sufficient sample evidence to support the claim. B. The sample data support the claim. C. There is sufficient evidence to warrant rejection of the claim. D. There is not sufficient evidence to warrant rejection of the claim. i. Does the union leader appear to be correct? A. Yes B. No
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
Related questions
Question
A union leader claims that absences on the different days of the week are equally likely. To test this claim, a company manager collects the data shown below. Use a 0.05 significance level to test the claim.
Day Mon Tue Wed Thur Fri
Absences
40
a. Before doing any calculations, do the data appear to support the union leader's claim? Why or why not?
A.
No, absences on The and Wed are much larger than on other days
B.
Yes, there are roughly the same number of absences on the different days of the week
C.
Yes, more absences on Mon and Fri are normal
D.
No, absences on Mon and Fri are much larger than on other days
b. State
Upper H 0
.
A.
At least one proportion is different than claimed
B.
p Subscript Mon Baseline equals 1 divided by 4 comma p Subscript Tue Baseline equals 1 divided by 4 comma p Subscript Wed Baseline equals 1 divided by 6 comma p Subscript Thur Baseline equals 1 divided by 7 comma p Subscript Fri Baseline equals 1 divided by 5
C.
p Subscript Mon Baseline equals p Subscript Tue Baseline equals p Subscript Wed Baseline equals p Subscript Thur Baseline equals p Subscript Fri Baseline equals 1 divided by 5
D.
p Subscript Mon Baseline not equals p Subscript Tue Baseline not equals p Subscript Wed Baseline not equals p Subscript Thur Baseline not equals p Subscript Fri Baseline nbsp
c. Find the sum of the observed frequencies:
nothing
d. Calculate the expected frequency for each day
nothing
e. Calculate the test statistic. Which of these options is closest to its value?
A.
chi squared equals
32.65
B.
chi squared equals
31.90
C.
chi squared equals
30.42
D.
chi squared equals
27.37
f. State the value of the critical value:
nothing
g. State the technical conclusion.
A.
Reject Upper H 0
B.
Do not reject Upper H 0
h. State the final conclusion.
A.
There is not sufficient sample evidence to support the claim.
B.
The sample data support the claim.
C.
There is sufficient evidence to warrant rejection of the claim.
D.
There is not sufficient evidence to warrant rejection of the claim.
i. Does the union leader appear to be correct?
A.
Yes
B.
No
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