Question

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

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 133 161 128 141 298 204
Favor more than oppose 222 367 272 348 309 326
Oppose more than favor 311 334 322 381 219 316
Strongly oppose 443 215 389 217 221 174

(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 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 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 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.

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.    

Do not 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 Britain

France     

Italy

Spain

Germany

United States

Which country has the least favorable attitude?

Great Britain

France     

Italy

Spain

Germany

United States

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Answer #1

a)

sample size =6451

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 183.09 177.80 183.42 179.45 172.85 168.39 1065
B 317.00 307.86 317.58 310.72 299.28 291.56 1844
C 323.71 314.37 324.29 317.29 305.61 297.73 1883
D 285.20 276.97 285.72 279.54 269.26 262.31 1659
total 1109 1077 1111 1087 1047 1020 6451
chi square    χ2 =(Oi-Ei)2/Ei E F G H I J Total
A 13.7016 1.5879 16.7429 8.2399 90.6135 7.5294 138.4151
B 28.4723 11.3619 6.5408 4.4739 0.3156 4.0671 55.2316
C 0.4990 1.2259 0.0162 12.7938 24.5461 1.1211 40.2021
D 87.3088 13.8659 37.3370 13.9930 8.6486 29.7323 190.8855
total 129.9817 28.0417 60.6368 39.5005 124.1237 42.4499 424.7343
test statistic X2 = 424.73
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 :Germany

least favorable attitude :Great Britain

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