Question

In a random sample of 1,000 high-school students, 29 percent indicated that they had read the Declaration of Independence at least once. If the margin of error is calculated to be 4 percent, which of the following statements is more likely than the others to be true? a. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be above 33 percent. b. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be below 25 percent. c. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent. d. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be equal to 25 or 33 percent. D. ing to address the problem of

Answer 1

Answer:

c. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.

Step-by-step explanation:

Margin of error:

"It means the percentage difference of the result above or below the exact value."

i.e. 4 percent of margin error in the question means that the result will be either 4 percent above the 29 percent or 4 percent below the 29 percent.

OR "the result can vary upto 4 percent above or below the 29 percent."

Let me simplify the answer first in number then convert it percent to understand easily.

29 percent of 1000=  (29/100)*1000=290

4 percent of 1000=(4/100)*1000=40

If 290 students had read the declaration of independence at least once with 40 margin of error, then it means the number of students that had read declaration of independence may be 330 or 250

250 is 25% of 1000 and 330 is 33% of 1000, that is why ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.