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 results of the survey in which 1001 adults from Country A, 1025 adults from Country B, 1012 adults from country C, 1018 adults from Country D, and 1010 adults from country E were asked whether national identity is strongly tied to birthplace.

Country a: 36%

County b: 22%

Country c: 28%

Country d: 45%

Country e: 11%

1) The 99% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is (__ , __) (Round three decimal places as needed.

2) The 99% confidence interval for the proportion of adults from Country B who say national identity is strongly tied to birthplace is (__ , __) (Round three decimal places as needed.

3) The 99% confidence interval for the proportion of adults from Country C who say national identity is strongly tied to birthplace is (__ , __) (Round three decimal places as needed.

4) The 99% confidence interval for the proportion of adults from Country D who say national identity is strongly tied to birthplace is (__ , __) (Round three decimal places as needed.

5) The 99% confidence interval for the proportion of adults from Country E who say national identity is strongly tied to birthplace is (__ , __) (Round three decimal places as needed.

Answer 1

Solution:-

1) The 99% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is C.I = (0.3209, 0.3991).

C.I = 0.36 + 2.576 × 0.01517

C.I = 0.36 + 0.03908

C.I = (0.3209, 0.3991)

2) The 99% confidence interval for the proportion of adults from Country B who say national identity is strongly tied to birthplace is C.I = (0.1867, 0.2533).

C.I = 0.22 + 2.576 × 0.01294

C.I = 0.22 + 0.03333

C.I = (0.1867, 0.2533)

3) The 99% confidence interval for the proportion of adults from Country C who say national identity is strongly tied to birthplace is C.I = (0.2436, 0.3164).

C.I = 0.28 + 2.576 × 0.01411

C.I = 0.28 + 0.03636

C.I = (0.2436, 0.3164)

4) The 99% confidence interval for the proportion of adults from Country D who say national identity is strongly tied to birthplace is C.I = (0.4098, 0.4902).

C.I = 0.45 + 2.576 × 0.01559

C.I = 0.45 + 0.04017

C.I = (0.4098, 0.4902)

5) The 99% confidence interval for the proportion of adults from Country E who say national identity is strongly tied to birthplace is C.I = (0.0846, 0.1354).

C.I = 0.11 + 2.576 × 0.00985

C.I = 0.11 + 0.02536

C.I = (0.0846, 0.1354)