a the test statistic is b there are how many degrees of free

a. the test statistic is?
b. there are how many degrees of freedom?
c. the critical value is?
d.should the null hypothesis be rejected

a

8-2 MyStatlab: Module Eight Problem Set INV Score: S2.39% (34,06 of G5 pts) Determirne (a) the x\' test statistic, (0j the degrees of freedon, (e) the critical value usng a-0.05, and (O test the hypothesis at the e-005 level of significance Ho The random variable X is bisonial with n 4.p-08 111: The random variable X is not binomial with n , p 0.5 (a) The test statistic is Round to twe decimal places as needed.

Solution

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

2

1.600

0.400

0.100

38

25.100

12.900

6.630

119

150.800

-31.800

6.706

437

402.200

34.800

3.011

386

402.200

-16.200

0.653

Total

982

981.900

0.100

17.099

a). the test statistic is? 17.10 ( two decimals)
b. there are how many degrees of freedom?   4
c. the critical value is? 9.488
d.should the null hypothesis be rejected

calculated chi square =17.10 > 9.488 table value.

The null hypothesis is rejected.

Goodness of Fit Test
	observed	expected	O - E	(O - E)² / E
	2	1.600	0.400	0.100
	38	25.100	12.900	6.630
	119	150.800	-31.800	6.706
	437	402.200	34.800	3.011
	386	402.200	-16.200	0.653
Total	982	981.900	0.100	17.099