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 favor133298161141128204
Favor more than oppose222309367348272326
Oppose more than favor311219334381322316
Strongly oppose443220215217389174

(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 the country.

H0: The attitude toward building new nuclearpower plants is not independent of the country.
Ha: The attitude toward building new nuclearpower plants is independent of the country.

H0: The attitude toward building new nuclearpower plants is independent of the country.
Ha: The attitude toward building new nuclearpower plants is not independent of the country.

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 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.

Reject H0. We conclude that the attitudetoward building new nuclear power plants is not independent of thecountry.   

Do not reject H0. We cannot conclude thatthe attitude toward building new nuclear power plants isindependent of the country.

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?

Great Britain or France or Italy or Spain or Germany or UnitedStates

Which country has the least favorable attitude?

Great Britain or France or Italy or Spain or Germany or UnitedStates

Answer & Explanation Solved by verified expert
4.3 Ratings (968 Votes)

a)

How large was the sample in this poll =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 of independence:
chi square    χ2 =(Oi-Ei)2/Ei e f g h i j Total
a 13.7150 90.887 1.593 8.251 16.757 7.517 138.7197
b 28.497 0.3316 11.3418 4.4616 6.5539 4.0558 55.2421
c 0.503 24.4273 1.2197 12.7720 0.0169 1.1152 40.0539
d 87.489 8.8855 13.8167 13.9433 37.4463 29.6665 191.2477
total 130.2046 124.5310 27.9710 39.4275 60.7746 42.3548 425.263
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)

France strongly favor

Great Britain least favorable


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