(c) Suppose that 20% of voters are in favor of certain legislation. A large number n of voters are polled and a relative frequency estimate fA(n) for the above proportion is obtained. Use central limit theorem to estimate how many voters should be polled in order that the probability is at least .95 that fA(n) differs from 0.20 by less than 0.02

1537 voters should be polled.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

The margin of error is:

95% confidence level

So , z is the value of Z that has a pvalue of , so .

20% of voters are in favor of certain legislation.

This means that

How many voters should be polled in order that the probability is at least .95 that fA(n) differs from 0.20 by less than 0.02

This is n for which M = 0.02. So

Rounding up

1537 voters should be polled.

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.