In order to estimate the median amount of new credit card charges for the previous​ month, a financial service accountant randomly selects 10   credit card accounts and records the amount of new charges for each account for the previous month. The amounts are listed below. At alpha equals0.01 ​, the accountant wants to know whether he can conclude that the median amount of new credit card charges for the previous month was more than $ 300 . Complete parts​ (a) through​ (e)

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In order to estimate the median amount of new credit card charges for the previous​ month, a financial service accountant randomly selects

10
 

credit card accounts and records the amount of new charges for each account for the previous month. The amounts are listed below. At

alpha

equals0.01

​,

the accountant wants to know whether he can conclude that the median amount of new credit card charges for the previous month was more than

$ 300
.
Complete parts​ (a) through​ (e).
 
Start 2 By 5 Matrix 1st Row 1st Column $ 340.24 2nd Column $ 340.77 3rd Column $ 299.94 4st Column $ 207.67 5st Column $ 210.31 2nd Row 1st Column $ 293.35 2nd Column $ 285.68 3rd Column $ 214.18 4st Column $ 300.36 5st Column $ 200.31 EndMatrix
 
 
 
​(a) Write the claim mathematically and identify
Upper H 0
 

and

Upper H Subscript a
.
 
The claim is
 
median greater than $ 300

median less than or equals $ 300 median greater than or equals $ 300 median less than $ 300

.
What are
Upper H 0
 

and

Upper H Subscript a
​?
 
A.
Upper H 0
 

is

median greater than or equals $ 300
 

and

Upper H Subscript a
 

is

median less than $ 300
.
 
B.
Upper H 0
 

is

median less than or equals $ 300
 

and

Upper H Subscript a
 

is

median greater than $ 300
.
 
C.
Upper H 0
 

is

median less than $ 300
 

and

Upper H Subscript a
 

is

median greater than or equals $ 300
.
 
D.
Upper H 0
 

is

median greater than $ 300
 

and

Upper H Subscript a
 

is

median less than or equals $ 300
.
​(b) Determine the critical value.
 
The critical value is
nothing
.
​(Type an integer or decimal rounded to the nearest hundredth as​ needed.)
 
​(c) Calculate the test statistic.
 
The test statistic is
nothing
.
​(Type an integer or decimal rounded to the nearest hundredth as​ needed.)
 
​(d) Decide whether to reject or fail to reject the null hypothesis.
 
 
 
Reject
 
the null hypothesis.
 
 
Fail to reject
 
the null hypothesis.
​(e) Interpret the decision in the context of the original claim.
 
At the
1 %
 

significance​ level,

 
there is not
there is

enough evidence for the accountant to conclude that the median amount of new credit card charges for the previous month was more than

$ 300

.

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