Question

61. The true proportion p of people who give a favorable

rating to Congress is 8% with a margin of error of
1.5%. Describe this statement using an absolute
value equation.

Answer 1

The expression for the statement using absolute value notation is
`$|p-0.08| \leq 0.015$`.

Explanation:

It is given in the question that the true proportion p of people who give a favourable rating to Congress is 8% with a margin of error of 1.5%. It is required to express the statement using absolute value notation.

To express the statement using absolute value notation, deduce the statement in the form of an equation.

The error margin for the hypothesis is 1.5% which implies the absolute difference between p and 8% should be less than or equal to 1.5%.
`$$|p-0.08| \leq 0.015$$`