The USA Today headline of​ "Seven-game series defy​ odds" referred to a claim that​ seven-game World Series contests occur more often than expected by chance. Listed below are the numbers of games of World Series contests along with the proportions that would be expected with teams of equal abilities. Use a 0.05 significance level to test the claim that the observed frequencies agree with the theoretical proportions.                                       Games     4 5 6 7    Actual World Series contests    18       20       23       37                  Expected proportion  ​ 2/16​ 4/16​ 5/16​ 5/16 a. State Upper H 0 .     A. p Subscript 4 Games Baseline equals 4 divided by 16 comma p Subscript 5 Games Baseline equals 5 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 2 divided by 16     B. p Subscript 4 Games Baseline equals p Subscript 5 Games Baseline equals p Subscript 6 Games Baseline equals p Subscript 7 Games Baseline equals 1 divided by 4     C. p Subscript 4 Games Baseline equals 2 divided by 16 comma p Subscript 5 Games Baseline equals 4 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 5 divided by 16     b. Find the sum of the observed​ frequencies: nothing   ​(enter a whole​ number)   c. Calculate the expected frequency for each number of games​ (give 2 decimal​ places)      4​ Games: nothing    5​ Games: nothing    6​ Games: nothing    7​ Games: nothing   d. Calculate the test statistic. Which of these options is closest to its​ value?     A. chi squared equals 5.70     B. chi squared equals 7.23     C. chi squared equals 6.52     D. chi squared equals 6.75     e. State the value of the critical​ value: nothing   ​(give 3 decimal​ places)   f. State the technical conclusion.     A. Reject Upper H 0     B. Do not reject Upper H 0     g. State the final conclusion.     A. The sample data support the claim.   B. There is not sufficient evidence to warrant rejection of the claim.   C. There is not sufficient sample evidence to support the claim.   D. There is sufficient evidence to warrant rejection of the claim.   h. Does it appear that​ seven-game series occur more often than​ expected?

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The USA Today headline of​ "Seven-game series defy​ odds" referred to a claim that​ seven-game World Series contests occur more often than expected by chance. Listed below are the numbers of games of World Series contests along with the proportions that would be expected with teams of equal abilities. Use a 0.05 significance level to test the claim that the observed frequencies agree with the theoretical proportions.
 
                                    Games     4 5 6 7   
Actual World Series contests    18      
20
     
23
     
37
  
              Expected proportion  ​ 2/16​ 4/16​ 5/16​ 5/16
a. State
Upper H 0
.
 
 
A.
p Subscript 4 Games Baseline equals 4 divided by 16 comma p Subscript 5 Games Baseline equals 5 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 2 divided by 16
 
 
B.
p Subscript 4 Games Baseline equals p Subscript 5 Games Baseline equals p Subscript 6 Games Baseline equals p Subscript 7 Games Baseline equals 1 divided by 4
 
 
C.
p Subscript 4 Games Baseline equals 2 divided by 16 comma p Subscript 5 Games Baseline equals 4 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 5 divided by 16
 
 
b. Find the sum of the observed​ frequencies:
nothing
 
​(enter a whole​ number)
 
c. Calculate the expected frequency for each number of games​ (give 2 decimal​ places)
 
   4​ Games:
nothing
  

5​ Games:

nothing
  

6​ Games:

nothing
  

7​ Games: nothing

 
d. Calculate the test statistic. Which of these options is closest to its​ value?
 
 
A.
chi squared equals

5.70

 
 
B.
chi squared equals

7.23

 
 
C.
chi squared equals

6.52

 
 
D.
chi squared equals

6.75

 
 
e. State the value of the critical​ value:
nothing
 
​(give 3 decimal​ places)
 
f. State the technical conclusion.
 
 
A.
Reject Upper H 0
 
 
B.
Do not reject Upper H 0
 
 
g. State the final conclusion.
 
 
A.
The sample data support the claim.
 
B.
There is not sufficient evidence to warrant rejection of the claim.
 
C.
There is not sufficient sample evidence to support the claim.
 
D.
There is sufficient evidence to warrant rejection of the claim.
 
h. Does it appear that​ seven-game series occur more often than​ expected?
 
 
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