Question

Express the confidence interval 50.8% ± 6.2% in interval form.Answer using decimals rounded to three places, not as percentages.

Answer 1

Okay, here we have this:

Considering the provided confidence interval, we are going to express it in interval form, so we obtain the following:

So we will first convert the given confidence interval from percent to decimal:

Confidence interval=50.8% ± 6.2%

Confidence interval=50.8/100 ± 6.2/100

Confidence interval=0.508 ± 0.062

Now let's convert it to interval form, where the smaller endpoint will be the result of taking the minus operation, and the larger endpoint will be the result of taking the plus operation:

Confidence interval= (0.508 - 0.062, 0.508 + 0.062)

Confidence interval= (0.446, 0.57)

Finally we obtain that the confidence interval in interval form is (0.446, 0.57).