Question

in a sport %53 of those surveyed belived their high school football team will win the state championship the poll shows a margin of error of 5 percentage points write and solve an absolute value in quality to find the least and the greatest percent of people that think their team will win the state championship

Answer 1

Explanation:

From the given information:

suppose, the total number of people = n

Thus, the percentage of people believe in high school = 53% = 0.53

= n × m

The poll also let us understand that the number of people falls in margin error.

= ±n × M.O.E

where;

M.O.E = margin of error = ±5%

∴

the number of people falls in margin error. = ±n × 0.05 = 0.05 n

Thus, we can posit that the greatest percentage of people think for highschool was:

`( (0.53 n + 0.05 n)/(2)) * 100= 54%`

However, the least percentage of people think for highschool was:

`\mathbf( (0.53 n - 0.05 n)/(2)) * 100= 48 \%}`