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).
