Question

If the attendance score is 60 out of 180, and 7 out of 18 questions were answered, express the confidence interval 64.8% ± 8.6% in interval form using decimal format (not percentages).

Answer 1

To convert the confidence interval 64.8% ± 8.6% into decimal interval form, you change the percentages to decimals and then add and subtract the margin of error from the central value. The interval in decimal format is (0.562, 0.734).

Step-by-step explanation:

To express the confidence interval 64.8% ± 8.6% in interval form using decimal format, we first convert the percentages to decimals. The percentage 64.8% becomes 0.648, and the percentage ± 8.6% becomes ± 0.086.

Now subtract 0.086 from 0.648 to find the lower bound and add 0.086 to 0.648 to find the upper bound:

• Lower bound: 0.648 - 0.086 = 0.562
• Upper bound: 0.648 + 0.086 = 0.734

Therefore, the confidence interval in decimal form is (0.562, 0.734).