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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 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.
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 mutually exclusive of the country.
Ha: 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.
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.

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

a)

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:

Expected Ei=row total*column 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 =(Oi-Ei)2/Ei 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.

c)

most favorable attitude : Germany

least favorable attitude France

milcah answered 8 months ago
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