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 favor298161141128133204
Favor more than oppose309367348272222326
Oppose more than favor219334381322311316
Strongly oppose220215217389443174

(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 not mutually exclusive of the country.
Ha: The attitude toward building new nuclearpower plants is mutually exclusive of thecountry.H0: The attitude toward building newnuclear power plants is not independent of the country.
Ha: The attitude toward building new nuclearpower plants is independent of thecountry.    H0: Theattitude toward building new nuclear power plants is mutuallyexclusive 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 independent 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 cannot conclude thatthe attitude toward building new nuclear power plants isindependent of the country.Reject H0. Weconclude that the attitude toward building new nuclear power plantsis not independent of the country.    RejectH0. We cannot conclude that the attitude towardbuilding new nuclear power plants is independent of the country.Donot reject H0. We conclude that the attitudetoward building new nuclear power plants is not independent of thecountry.

(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
4.3 Ratings (797 Votes)

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


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