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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 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.
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 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 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 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

a)

sample size =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 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 =(Oi-Ei)2/Ei 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

c)

most favorable attitude :Great Britain

least favorable attitude :Germany

milcah answered 6 months ago
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