Respuesta :
Answer:
The correct option is (A).
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p \pm MOE[/tex]
The information provided is:
[tex]\hat p[/tex] = 0.24
MOE = 0.089
The 85% confidence interval for the population proportion of adults who dreaded​ Valentine's Day is:
[tex]CI=\hat p \pm MOE[/tex]
   [tex]=0.24\pm 0.089\\=(0.151, 0.329)[/tex]
So, the 85% confidence interval for the population proportion of adults who dreaded​ Valentine's Day is (0.151, 0.329).
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
So, the 85%  confidence interval for the population proportion, (0.151, 0.329), implies that there is 85% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.151 and 0.329.
Or there is 0.85 probability that the true proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.151 and 0.329.
Thus, the correct option is (A).
