Determine (a) the chi squared test statistic, (b) the degrees of freedom, (c) th

Question

Determine (a) the

chi squared

test statistic, (b) the degrees of freedom, (c) the critical value using

alpha equals 0.05

,

and (d) test the hypothesis at the

alpha equals 0.05

level of significance.

X

0

1

2

3

4

Observed

1

41

119

438

391

Expected

1.6

25.3

152.1

405.5

405.5

Upper H 0

:

The random variable X is binomial with

nequals

4

,

pequals

0.8

H1:

The random variable X is not binomial with

nequals

4

,

pequals

0.8

(a) The test statistic is

nothing

.

(Round to two decimal places as needed.)

level of significance.

X

0

1

2

3

4

Observed

1

Explanation / Answer

Ans:

a)Test statistic:

chi square=20.29

b)df=5-1=4

c)critical chi square=CHIINV(0.05,4)=9.488

d)As,test statistic=20.29>9.488,we reject null hypothesis.

There is sufficient evidence to conclude that the random variable X is not binomial with n=4,p=0.8

Observed Expected (O-E)^2/E 0 1 1.6 0.225 1 41 25.3 9.743 2 119 152.1 7.203 3 438 405.5 2.605 4 391 405.5 0.518 Total 990 990 20.294

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