Question

The figure to the right shows the results of a survey in which 1025 adults from Country​ A, 1008 adults from Country​ B, 1023 adults from Country​ C, 1023 adults from Country​ D, and 1013 adults from Country E were asked whether national identity is strongly tied to birthplace. A table labeled "National Identity and Birthplace, People from different countries who believe national identity is strongly tied to birthplace" consists of five rows containing the following information from top to bottom, with row listed first and information listed second: Country A, 34 percent; Country B, 19 percent; Country C, 24 percent; Country D, 51 percent; Country E, 10 percent. Country A 34% 19% 24% 51% Country B Country C Country D Country E 10% Construct a 99​% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. The 99​% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is left parenthesis nothing comma nothing right parenthesis . ​(Round to three decimal places as​ needed.)

Answer 1

Solution:-

The 99​% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is C.I = (0.302, 0.378).

C.I = 0.34 + 2.576*0.0148
C.I = 0.34 + 0.03811
C.I = (0.302, 0.378)

The 99​% confidence interval for the proportion of adults from Country B who say national identity is strongly tied to birthplace is C.I = (0.158, 0.222).

C.I = 0.19 + 2.576*0.01236
C.I = 0.19 + 0.03183
C.I = (0.158, 0.222)

The 99​% confidence interval for the proportion of adults from Country C who say national identity is strongly tied to birthplace is C.I = (0.206, 0.274).

C.I = 0.24 + 2.576*0.01335
C.I = 0.24 + 0.034397
C.I = (0.206, 0.274)

The 99​% confidence interval for the proportion of adults from Country D who say national identity is strongly tied to birthplace is C.I = (0.470, 0.550).

C.I = 0.51 + 2.576*0.01563
C.I = 0.51 + 0.04026
C.I = (0.470, 0.550)

The 99​% confidence interval for the proportion of adults from Country E who say national identity is strongly tied to birthplace is C.I = (0.076, 0.124).

C.I = 0.10 + 2.576*0.009426
C.I = 0.10 + 0.02428
C.I = (0.076, 0.124)