Question

Results from a local survey asked where coffee drinkers typically drink their first cup of coffee. To determine whether this distribution has​ changed, you randomly select 581 coffee drinkers and ask each where they typically drink their first cup of coffee. The results are listed in the table.

Your Local Survey Results​ - O's

At Home	389
At Work	110
During Commute	55
Coffee Shop	27

A national study had the results are below.

The National Survey Results​ - E's

At​ Home-34%	406.70
At​ Work-17%	98.77
During​ Commute-8%	46.48
Coffee​ Shop-5%	29.05

Does the Local Survey seem to match the National​ Survey? Use

alphaα

​= 0.05.

Hypotheses

Upper H 0H0​:

The Local Survey data is a good fit to the National Survey.

Upper H 1H1​:

The Local Survey data is not a good fit to the National Survey.

Calculate the Test Statistic and​ P-value.

Test Statistic

chi squaredχ2

​= nothing

​P-value p​ = nothing

Test result

​P-value

nothing

alphaα

A.Do not reject

Upper H 0H0.

B.Reject

Upper H 0H0.

Choose the correct conclusion below.

A.

The data is a good fit.

B.

The data is not a good fit.

Click to select your answer(s).

Answer 1

applying chi square goodness of fit test:

	relative	observed	Expected	residual	Chi square
Category	frequency(p)	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
At home	0.3400	389	406.70	-17.7000	0.77
At work	0.1700	110	98.77	11.2300	1.28
During Commute	0.0800	55	46.48	8.5200	1.56
Coffee Shop	0.0500	27	29.05	-2.0500	0.14
total	0.64	581	581	1.77636E-14	3.75
test statistic X2=		3.7536
p value =		0.2893	from excel: chidist(3.754,3)

since p value >0.05

A.Do not reject Ho

A. The data is a good fit.