Use the figure to the right, which shows the percentages of adults from several

Question

Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1123 adults from Country A, 1021 adults from Country B. 1050 adults from Country C. and 1078 adults from Country D. At = 0.02, can you reject th claim that the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than the proportion of aduts from Country D who favor building new nuclear power plants in their country Assume the random samples are independent. Country A 52% Country B 50% Country C 48% OCou D40% Identify the claim and state Ho and Ha | the proportion of adults from Country D who favor building new nuclear power plants in their The claim is "the proportion of adults in Country C who favor building new nuclear power plants in their country is country Let p, represent the population proportion for Country C and p2 epsnt the population proportion for Country D. State Ho and Ha Choose the correct answer below. B. Ho : P1 =P2 Ha: p1 #p2 Ha P1P2 () D. Ho :P1

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0

Hypothesis test results:

Hence,

Claim: is Greater

Hypotheses: Option C is correct.

z = 3.72

P - value = 0.0001

Decision: Option B is correct.

Can you support the original claim? Option D is correct.

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 504 1050 431.2 1078 0.08 0.021520196 3.7174383 0.0001

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