Answer:
The 94% confidence interval is : ( 0.0867 , 0.1933 ) = ( 8.67 , 19.33 )%
Step-by-step explanation:
Solution:-
- The sample size, n = 150 visitors
- The proportion of visitors who hiked, p = 0.14
- We are to create a 94% confidence interval for the population proportion.
- We will determine the Z-critical value for the CI : 0.94 or significance level α = 0.06
- The critical value is defined and plucked from Z-score (standardized) tables as:
Z-critical = Z_α/2 = Z_0.03 = 1.88
- The confidence interval for the population proportion (p) is constructed as:
- The 94% confidence interval is : ( 0.0867 , 0.1933 ) = ( 8.67 , 19.33 )%