Question

Translate the statements into a confidence interval for p. Approximate the level of confidence. In a survey of 8451 U.S. adults, 31.4% said they were taking vitamin E as a supplement. The survey's margin of error is plus or minus 1%.

Answer 1

The confidence interval is
`0.304 < p < 0.324`

Explanation:

From the question we are told

The sample proportion
`\r p = 0.314`

The margin of error is
`E = 0.01`

The confidence interval for p is mathematically represented as

`\r p - E < p < \r p + E`

=>
`0.314 - 0.01 < p < 0.314 + 0.01`

=>
`0.304 < p < 0.324`