A poll surveyed people in six countries to assess attitudes toward a variety of alternate forms...

Response	Country
Response	Great Britain	France	Italy	Spain	Germany	United States
Strongly favor	298	161	141	128	133	204
Favor more than oppose	309	367	348	272	222	326
Oppose more than favor	219	334	381	322	311	316
Strongly oppose	220	215	217	389	443	174

(a)

How large was the sample in this poll?

(b)

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

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

Which country has the least favorable attitude?

Great BritainFrance ItalySpainGermanyUnited States

Solutions

Expert Solution

sample size =6450

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:

Expected	E_i=row totalcolumn total/grand total*	e	f	g	h	i	j	Total
	a	172.7116	177.8302	179.4814	183.4442	183.1140	168.4186	1065
	b	299.0425	307.9051	310.7640	317.6254	317.0536	291.6093	1844
	c	305.3671	314.4172	317.3366	324.3431	323.7592	297.7767	1883
	d	268.8788	276.8474	279.4180	285.5873	285.0732	262.1953	1658
	total	1046	1077	1087	1111	1109	1020	6450

chi square χ²	=(O_i-E_i)²/E_i	e	f	g	h	i	j	Total
	a	90.8866	1.5928	8.2505	16.7575	13.7150	7.5172	138.7197
	b	0.3316	11.3418	4.4616	6.5539	28.4974	4.0558	55.2421
	c	24.4273	1.2197	12.7720	0.0169	0.5028	1.1152	40.0539
	d	8.8855	13.8167	13.9433	37.4463	87.4894	29.6665	191.2477
	total	124.5310	27.9710	39.4275	60.7746	130.2046	42.3548	425.2634

test statistic X² =		425.26
p value =		0.0000

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

most favorable attitude :Great Britain

least favorable attitude :Germany

milcah answered 1 month ago

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