Question

A poll surveyed people in six countries to assess attitudes toward a variety of alternate forms of energy. Suppose the data in the following table are a portion of the poll's findings concerning whether people favor or oppose the building of new nuclear power plants.

Response	Country
	Great Britain	France	Italy	Spain	Germany	United States
Strongly favor	133	298	161	141	128	204
Favor more than oppose	222	309	368	348	272	326
Oppose more than favor	311	219	334	381	322	316
Strongly oppose	443	221	215	217	389	174

(a)

How large was the sample in this poll?

Conduct a hypothesis test to determine whether people's attitude toward building new nuclear power plants is independent of country.

State the null and alternative hypotheses.

H₀: The attitude toward building new nuclear power plants is independent of the country.
H_a: The attitude toward building new nuclear power plants is not independent of the country. H₀: The attitude toward building new nuclear power plants is not independent of the country.
H_a: The attitude toward building new nuclear power plants is independent of the country.     H₀: The attitude toward building new nuclear power plants is mutually exclusive of the country.
H_a: The attitude toward building new nuclear power plants is not mutually exclusive of the country. H₀: The attitude toward building new nuclear power plants is not mutually exclusive of the country.
H_a: The attitude toward building new nuclear power plants is mutually exclusive of the country.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. We conclude that the attitude toward building new nuclear power plants is not independent of the country. Reject H₀. We cannot conclude that the attitude toward building new nuclear power plants is independent of the country.     Do not reject H₀. We cannot conclude that the attitude toward building new nuclear power plants is independent of the country. Do not reject H₀. We conclude that the attitude toward building new nuclear power plants is not independent of the country.

(c)

Using the percentage of respondents who "strongly favor" and "favor more than oppose," which country has the most favorable attitude toward building new nuclear power plants?

Great Britain

France    

Italy

Spain

Germany

United States

Which country has the least favorable attitude?

Great Britain

France    

Italy

Spain

Germany

United States

Answer 1

a)How large was the sample in this poll =6452

b)

H₀: The attitude toward building new nuclear power plants is independent of the country.
H_a: The attitude toward building new nuclear power plants is not independent of the country.

Applying chi square test of independence:

Expected	Ei=row total*column total/grand total	e	f	g	h	i	j	Total
	a	183.06	172.82	177.94	179.43	183.39	168.37	1065
	b	317.13	299.40	308.26	310.84	317.70	291.68	1845
	c	323.66	305.56	314.61	317.24	324.24	297.68	1883
	d	285.16	269.21	277.19	279.50	285.67	262.27	1659
	total	1109	1047	1078	1087	1111	1020	6452
chi square    χ2	=(Oi-Ei)2/Ei	e	f	g	h	i	j	Total
	a	13.6882	90.6663	1.6127	8.2292	16.7283	7.5416	138.4664
	b	28.5349	0.3080	11.5764	4.4433	6.5736	4.0389	55.4751
	c	0.4951	24.5231	1.1948	12.8155	0.0155	1.1269	40.1709
	d	87.3713	8.6349	13.9511	13.9758	37.3748	29.7095	191.0175
	total	130.0895	124.1323	28.3351	39.4639	60.6921	42.4170	425.1299

test statistic X2 =		425.130
p value =		0.0000

Reject H₀. We conclude that the attitude toward building new nuclear power plants is not independent of the country.

c)

  most favorable attitude France

least favorable attitude :Great Britain