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a. the test statistic is? b. there are how many degrees of freedom? c. the criti

ID: 3020914 • Letter: A

Question


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.

Explanation / Answer

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