Question

In: Statistics and Probability

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

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 222 309 367 348 272 326
Oppose more than favor 311 219 334 381 322 316
Strongly oppose 443 220 215 217 389 174

(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.
Ha: 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 independent of the country.
Ha: 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.
Ha: 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 mutually exclusive of the country.
Ha: 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.

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

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 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 Britain or France or Italy or Spain or Germany or United States

Which country has the least favorable attitude?

Great Britain or France or Italy or Spain or Germany or United States

Solutions

Expert Solution

a)

How large was the sample in this poll =6450

b)

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

Applying chi square test of independence:
chi square    χ2 =(Oi-Ei)2/Ei e f g h i j Total
a 13.7150 90.887 1.593 8.251 16.757 7.517 138.7197
b 28.497 0.3316 11.3418 4.4616 6.5539 4.0558 55.2421
c 0.503 24.4273 1.2197 12.7720 0.0169 1.1152 40.0539
d 87.489 8.8855 13.8167 13.9433 37.4463 29.6665 191.2477
total 130.2046 124.5310 27.9710 39.4275 60.7746 42.3548 425.263
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.

c)

France strongly favor

Great Britain least favorable

orchestra answered 1 year ago
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