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

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A poll surveyed people in six countries to assess attitudestoward a variety of alternate forms of energy. Suppose the data inthe following table are a portion of the poll's findings concerningwhether people favor or oppose the building of new nuclear powerplants.

ResponseCountry
Great
Britain
FranceItalySpainGermanyUnited
States
Strongly favor141133128161298204
Favor more than oppose348222272367309326
Oppose more than favor381311322334219316
Strongly oppose217443389215220174

(a)

How large was the sample in this poll?

(b)

Conduct a hypothesis test to determine whether people's attitudetoward building new nuclear power plants is independent ofcountry.

State the null and alternative hypotheses.

H0: The attitude toward building new nuclearpower plants is mutually exclusive of the country.
Ha: The attitude toward building new nuclearpower plants is not mutually exclusive of thecountry.H0: The attitude toward building newnuclear power plants is not mutually exclusive of thecountry.
Ha: The attitude toward building new nuclearpower plants is mutually exclusive of thecountry.    H0: Theattitude toward building new nuclear power plants is notindependent of the country.
Ha: The attitude toward building new nuclearpower plants is independent of the country.H0:The attitude toward building new nuclear power plants isindependent of the country.
Ha: The attitude toward building new nuclearpower plants is not independent of the country.

Find the value of the test statistic. (Round your answer to twodecimal places.)

Find the p-value. (Round your answer to four decimalplaces.)

p-value =

State your conclusion.

Do not reject H0. We conclude that theattitude toward building new nuclear power plants is notindependent of the country.Do not reject H0. Wecannot conclude that the attitude toward building new nuclear powerplants is independent of the country.    RejectH0. We conclude that the attitude towardbuilding new nuclear power plants is not independent of thecountry.Reject H0. We cannot conclude that theattitude toward building new nuclear power plants is independent ofthe country.

(c)

Using the percentage of respondents who "strongly favor" and"favor more than oppose," which country has the most favorableattitude toward building new nuclear power plants?

GreatBritainFrance    ItalySpainGermanyUnitedStates

Which country has the least favorable attitude?

GreatBritainFrance    ItalySpainGermanyUnitedStates

Answer & Explanation Solved by verified expert
3.8 Ratings (493 Votes)

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    ?2 =(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


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