Sunday 4 10 Monday 24 20 Tuesday 21 20 Wednesday 18 20 Thursday 22 20 Friday 28 20 Saturd Observed Expected Components 10 3.6 0.8 0.05 0.2 0.2 3.2 4.9 Based upon the follow-up analysis, why was the null hypothesis rejected? O Although births are less likely on the weekends, births are more than twice as likely during the week. O Although births are less likely on the weekdays, births are more than twice as likely during the weekend. O The doctor was off track. She should have hypothesized that births are equally likely for all days of the week. O The doctor was off track. She should have hypothesized that babies are twice as likely to be born on a weekend (Saturday and Sunday) than on a weekday (Monday through Friday).

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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2

Friday
Sunday
4
10
Tuesday
21
20
Wednesday
18
20
Thursday
22
20
Saturda
Observed
Expected
Components
Monday
24
20
28
20
3
10
3.6
0.8
0.05
0.2
0.2
3.2
4.9
Based upon the follow-up analysis, why was the null hypothesis rejected?
O Although births are less likely on the weekends, births are more than twice as likely during the week.
O Although births are less likely on the weekdays, births are more than twice as likely during the weekend.
O The doctor was off track. She should have hypothesized that births are equally likely for all days of the week.
O The doctor was off track. She should have hypothesized that babies are twice as likely to be born on a weekend
(Saturday and Sunday) than on a weekday (Monday through Friday).
Transcribed Image Text:Friday Sunday 4 10 Tuesday 21 20 Wednesday 18 20 Thursday 22 20 Saturda Observed Expected Components Monday 24 20 28 20 3 10 3.6 0.8 0.05 0.2 0.2 3.2 4.9 Based upon the follow-up analysis, why was the null hypothesis rejected? O Although births are less likely on the weekends, births are more than twice as likely during the week. O Although births are less likely on the weekdays, births are more than twice as likely during the weekend. O The doctor was off track. She should have hypothesized that births are equally likely for all days of the week. O The doctor was off track. She should have hypothesized that babies are twice as likely to be born on a weekend (Saturday and Sunday) than on a weekday (Monday through Friday).
A doctor used to believe that babies were equally likely to be born any day of the week, but with the rise in
scheduled deliveries, the doctor now claims that babies are twice as likely to be born on a weekday (Monday
through Friday) than on a weekend (Saturday and Sunday). She decides to test:
1
1
1
1
1
1
Ho: Psun3 PMon =등, Prue3 , Pwed=증, PThur =D , Prn=아. Dsat =호
PTue = Pwed = PThur = Peri =6 Psat =2
12
Hạ: Not all of the pis are as stated.
She selects a random sample of 120 babies born this year and determines on which day of the week they were
born. She finds that 4 were born on Sunday, 24 on Monday, 21 on Tuesday, 18 on Wednesday, 22 on Thursday,
28 on Friday, and 3 on Saturday. The chi-square test statistic for goodness of fit is x2 = 12.95 and the P-value is
between 0.025 and 0.05.
The doctor had hypothesized that babies are twice as likely to be born on a weekday (Monday through Friday)
than on a weekend (Saturday and Sunday). Because the P-value is less than 0.05 the doctor 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:
Transcribed Image Text:A doctor used to believe that babies were equally likely to be born any day of the week, but with the rise in scheduled deliveries, the doctor now claims that babies are twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday). She decides to test: 1 1 1 1 1 1 Ho: Psun3 PMon =등, Prue3 , Pwed=증, PThur =D , Prn=아. Dsat =호 PTue = Pwed = PThur = Peri =6 Psat =2 12 Hạ: Not all of the pis are as stated. She selects a random sample of 120 babies born this year and determines on which day of the week they were born. She finds that 4 were born on Sunday, 24 on Monday, 21 on Tuesday, 18 on Wednesday, 22 on Thursday, 28 on Friday, and 3 on Saturday. The chi-square test statistic for goodness of fit is x2 = 12.95 and the P-value is between 0.025 and 0.05. The doctor had hypothesized that babies are twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday). Because the P-value is less than 0.05 the doctor 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:
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