Vitamin D, whether ingested as a dietary supplement or produced naturally when sunlight falls upon the skin, is essential for strong, healthy bones. The bone disease rickets was largely eliminated during the 1950s, but now there is concern that a generation of children more likely to watch TV or play computer games than spend time outdoors is at increased risk. A recent study of 3400 children randomly selected found 2020% of them deficient in vitamin D. Find a 98% confidence interval.

The 98% confidence interval for children deficient in vitamin D is (0.18, 0.22).

Explanation:

The (1 - α)% confidence interval for population proportion p is:

The information provided is:

Compute the critical value of z for 98% confidence interval as follows:

*Use a z-table for the value.

Compute the 98% confidence interval for the population proportion as follows:

Thus, the 98% confidence interval for children deficient in vitamin D is (0.18, 0.22).

the correct answer is yes the patient would be successful