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	141	133	128	161	298	204
Favor more than oppose	348	222	272	367	309	326
Oppose more than favor	381	311	322	334	219	316
Strongly oppose	217	443	389	215	220	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 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. 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 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 conclude that the attitude toward building new nuclear power plants is not 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. 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.

(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

6450

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	179.4814	183.1140	183.4442	177.8302	172.7116	168.4186	1065
	b	310.7640	317.0536	317.6254	307.9051	299.0425	291.6093	1844
	c	317.3366	323.7592	324.3431	314.4172	305.3671	297.7767	1883
	d	279.4180	285.0732	285.5873	276.8474	268.8788	262.1953	1658
	total	1087	1109	1111	1077	1046	1020	6450

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

value of the test statistic X² =425.26

p value =

0.0000

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

most favorable attitude : Germany

least favorable attitude France

milcah answered 1 month ago

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