Randomly selected birth records were​ obtained, and categorized as listed in the table to the right. Use a 0.010.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be​ explained?   Day nbspDay  Sun Mon Tues Wed Thurs Fri Sat   Number of BirthsNumber of Births 4444 6565 6262 5858 6262 5555 4141         Question content area bottom Part 1 Determine the null and alternative hypotheses.   Upper H 0H0​: ▼   At least two days have a different frequency of births than the other days. Births occur with all different frequencies on the different days of the week. Births occur with the same frequency on the different days of the week. At least one day has a different frequency of births than the other days. Upper H 1H1​: ▼   Births occur with the same frequency on the different days of the week. Births occur with all different frequencies on the different days of the week. At least one day has a different frequency of births than the other days. At least two days have a different frequency of births than the other days. Part 2 Calculate the test​ statistic, chi squaredχ2.   chi squaredχ2equals=enter your response here ​(Round to three decimal places as​ needed.) Part 3 Calculate the​ P-value.   ​P-valueequals=enter your response here ​(Round to four decimal places as​ needed.) Part 4 What is the conclusion for this hypothesis​ test?     A. Fail to rejectFail to reject Upper H 0H0. There is sufficientsufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.   B. RejectReject Upper H 0H0. There is sufficientsufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.   C. RejectReject Upper H 0H0. There is insufficientinsufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.   D. Fail to rejectFail to reject Upper H 0H0. There is insufficientinsufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. Part 5 How might the apparent lower frequencies on Saturday and Sunday be​ explained?     A. Induced or​ Caesarean-section births are scheduled on weekends whenever possible.   B. Induced or​ Caesarean-section births are scheduled during the week whenever possible.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
Question
Randomly selected birth records were​ obtained, and categorized as listed in the table to the right. Use a
0.010.01
significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be​ explained?
 
Day nbspDay 
Sun
Mon
Tues
Wed
Thurs
Fri
Sat
 
Number of BirthsNumber of Births
4444
6565
6262
5858
6262
5555
4141
 
 
 
 

Question content area bottom

Part 1
Determine the null and alternative hypotheses.
 
Upper H 0H0​:
 
At least two days have a different frequency of births than the other days.
Births occur with all different frequencies on the different days of the week.
Births occur with the same frequency on the different days of the week.
At least one day has a different frequency of births than the other days.
Upper H 1H1​:
 
Births occur with the same frequency on the different days of the week.
Births occur with all different frequencies on the different days of the week.
At least one day has a different frequency of births than the other days.
At least two days have a different frequency of births than the other days.
Part 2
Calculate the test​ statistic,
chi squaredχ2.
 
chi squaredχ2equals=enter your response here
​(Round to three decimal places as​ needed.)
Part 3
Calculate the​ P-value.
 
​P-valueequals=enter your response here
​(Round to four decimal places as​ needed.)
Part 4
What is the conclusion for this hypothesis​ test?
 
 
A.
Fail to rejectFail to reject
Upper H 0H0.
There is
sufficientsufficient
evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
 
B.
RejectReject
Upper H 0H0.
There is
sufficientsufficient
evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
 
C.
RejectReject
Upper H 0H0.
There is
insufficientinsufficient
evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
 
D.
Fail to rejectFail to reject
Upper H 0H0.
There is
insufficientinsufficient
evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
Part 5
How might the apparent lower frequencies on Saturday and Sunday be​ explained?
 
 
A.
Induced or​ Caesarean-section births are scheduled on weekends whenever possible.
 
B.
Induced or​ Caesarean-section births are scheduled during the week whenever possible. 
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