Emergency rooms have reason to suspect that visits increase on the weekends. A recent report indicates that Monday through Thursday represent 10% per day of the weekly total visits while Friday accounts for 15%, Saturday 25% and Sunday 20%. If your ER has the following pattern, Monday, 120, Tuesday, 130, Wednesday 110, Thursday 95, Friday 160, Saturday 280 and Sunday 105.
Does your facility have the same pattern as the recent report at the 10% level?
1. Yes
2. No

Respuesta :

Answer:

i think i am pretty sure its a yes

No, the facility dose not have the exact pattern as the recent report at the 10% level.

What is Chi squared test of hypothesis?

To determine if the Facility have the same pattern,

By using Chi squared test for Goodness of fit state the hypothesis

[tex]$H_{0}[/tex] : μ = same pattern

[tex]$H_{a}[/tex] : μ ≠ same pattern

Expected frequency (E)  = proportion [tex]*[/tex] summation of frequency

summation of frequency = 1000

degree of freedom [tex]= 7 - 1 = 6[/tex]

Calculate the expected frequency (E) ,(O-E)²/E.  

Given that the observed frequency and expected proportion exists given

For Monday

expected frequency = proportion [tex]*[/tex] frequency = 0.1 [tex]*[/tex] 1000 = 100

(O-E)²/E.  = ( 120 - 100 )² / 100 = 4.0.

observed frequency (O), expected frequency (E)

For Tuesday

E = 0.1 [tex]*[/tex] 1000 = 100

(O-E)²/E  = ( 130 - 100 )² / 100 = 9.0

For Wednesday through Sunday

Then perform Chi-squared test

X² = Σ(O-E)²/E  = 63.642    

∝ = 0.1

df = 6

hence P-value = 0.000 ( = chi sq dist rt(test-stat,df)

since P-value < ∝ ; we will fail to reject Ha  hence we reject [tex]$H_{0}[/tex].

To learn more about Chi squared test

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