Question

A.) What information is presented in the table above?

B.) Formulate the hypotheses for this test.

C.) Choose the appropriate forumla for the test statistic

D.) Describe the rejection region for this test

E.) What should the researcher conclude

Answer 1

a)

the table represent the frequency disrtibution of preference of sports of 40 randomely chosen Americans

b)

here null hypothesis: Ho: the data in sample fits the distribution claimed by newspaper article

Ha: the data in sample does not fits the distribution claimed by newspaper article

c)

applying chi square goodness of fit test:

		observed	Expected		Chi square
category	Probability(p)	Oi	Ei=total*p		R2i=(Oi-Ei)2/Ei
Football	0.500	22.000	20.000		0.200
Baseball	0.300	14.000	12.000		0.333
Nascar	0.200	4.000	8.000		2.000
total	1.000	40	40		2.533

from above test statsitic $\chi ^{2}$ =2.533

d)

for above degree of freedom =categories-1=3-1=2

for 2 df and 0.05 level rejection region   $\chi ^{2}$ >5.991

e)

as test statitic is not in rejection region ; we can not reject null hypotheiss

we do not have sufficient evidence to reject article's claim.