Question

a gallop poll is conducted to estimate the proportion of voters who plan to vote in favor of a school levy in a certain school district. a random sample of 400 people of voting age is selected. results of the poll show that 240 of the 400 people polled plan to vote in favor of the school levy. perform the calculations needed to determine whether or not it would be appropriate to construct a large-sample confidence interval for the true population proportion. what do you conclude (i.e., is it appropriate?group of answer choicesit would be appropriate to construct a large-sample confidence interval for the true population proportion, because 0.52652 and 0.67348 both fall between 0 and 1.0.it would not be appropriate to construct a large-sample confidence interval for the true population proportion, because -1.20 and 2.4 do not fall between 0 and 1.0.it would be appropriate to construct a large-sample confidence interval for the true population proportion, because n

Answer 1

If a gallop poll is conducted to estimate the proportion of voters who plan to vote in favor of a school levy in a certain school district. You can conclude that: C. it would be appropriate to construct a large-sample confidence interval for the true population proportion.

What is the confidence interval?

The sample size is 400 and the sample proportion is :

240/400

= 0.6

Calculating np and n(1-p):

np

= 400 * 0.6

= 240

n(1-p)

= 400 * (1-0.6)

= 160

Given that np and n(1-p) both exceed 10, the condition about sample size is met. It is appropriate to build a large-sample confidence interval for the true population proportion based on these conditions.

Therefore the correct option is C.