Q1) Five sided die is tested for claim of being "fair". Results of multiple tosses are shown in table below. Use 10% significance level to find out if the die is fair.
|
Face Value
|
1
|
2
|
3
|
4
|
5
|
|
Frequency
|
21
|
25
|
27
|
24
|
28
|
a) In mathematical form, state the null and alternate hypothesis.
b) Find out the expected frequency of the categories.
c) Compute is the test statistic
d) Find out is the critical value
e) Draw suitable distribution curve indicating position of the TS and CV
f) What do you conclude about given claim comparing results from parts c) and d)