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.
Response Country Great
Britain France Italy Spain Germany United
States Strongly favor 141 133 128 161 298 204 Favor more than oppose 348 222 272 367 309 326 Oppose more than favor 381 311 322 334 219 316 Strongly oppose 217 443 389 215 220 174
(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
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.
Response | Country | |||||
---|---|---|---|---|---|---|
Great Britain | France | Italy | Spain | Germany | United States | |
Strongly favor | 141 | 133 | 128 | 161 | 298 | 204 |
Favor more than oppose | 348 | 222 | 272 | 367 | 309 | 326 |
Oppose more than favor | 381 | 311 | 322 | 334 | 219 | 316 |
Strongly oppose | 217 | 443 | 389 | 215 | 220 | 174 |
(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
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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