Answer :
Answer:
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 600
Given sample proportion p = 35% or 0.35
The 95% confidence interval of true proportion of workers who belong to a union.
[tex](p^{-} -Z_{0.05} \sqrt{\frac{pq}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]
[tex](0.35 -1.96\sqrt{\frac{0.35 X0.65}{600} } , 0.35 + 1.96\sqrt{\frac{0.35 X 0.65}{600} } )[/tex]
( 0.35 - 1.96 (0.02726) , 0.35 + 1.96 (0.02726)
(0.35 - 0.05343 , 0.35 + 0.05343)
(0.29657 , 0.40343)
Final answer:-
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)