State a null hypothesis for this experiment.     How many degrees of freedom are there?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Activity 3

 

Table 3. Results of three coins tossed simultaneously 64 times.


Outcomes


Observed (O)


Expected (E)


(O − E)


(O E)2


(O E)2/E


3 heads


9


8


1


1


0.125


2 heads;1 tail


21


24


-3


9


0.375


1 heads; 2 tails


21


24


-3


9


0.375


3 tails


13


8


5


25


3.125


Totals


64


64


XXXXXX


XXXXXX


X2 = 4.0

 

  1. State a null hypothesis for this experiment.

 

 

  1. How many degrees of freedom are there?  

 

  1. What is the critical value of the X2 for α = 0.05?  __________

 

  1. Do you accept or reject the null hypothesis? Why?
Expert Solution
Step 1

1.

Null Hypothesis:

H0: There is no significant difference between observed and expected counts.

1.

Degrees of freedom:

df=number of groups-1

 =4-1

 =3

 

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