In a study to estimate the proportions of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 65 out of 100 urban residents favor the construction while only 55 out of 125 suburban residents are in favor. Is there a significant difference between the proportions of urban and suburban residents who favor the construction of the nuclear power plant? Use a 0.10 level of significance.
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Step 1
Given: Number of urban residents in favor (X1) = 65 Total number of urban residents (N1) = 100 Proportion of urban residents in favor = X1 / N1 = 65 / 100 = 0.65 Show more…
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In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents favor the construction while only 59 of 125 suburban residents are in favor. Is there a significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant? Make use of a P-value.
Derek F.
A study is to be made to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant. How large a sample is needed if one wishes to be at least $95 \%$ confident that the estimate is within 0.04 of the true proportion of residents in this city and its suburbs that favor the construction of the nuclear power plant?
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Use the figure below, which shows the percentages of adults ages 16 to 64 from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1002 adults from the United States, 1056 adults from Great Britain, 1102 adults from France, and 1006 adults from Spain. At $\alpha=0.01,$ can you support the claim that the proportion of adults in France who favor building new nuclear power plants in their country is greater than the proportion of adults in Spain who favor building new nuclear power plants in their country?
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