Question

A study of 420.051 cell phone users found that 0.0324% of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0324% for those not using cell phones Complete parts (a) and (b). a. Use the sample data to conatruct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system (Do not round until the final answer. Then round to three decimal places as needed)

Answer 1

To construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system, we can use the provided sample data. The confidence interval is approximately 0.0068% to 0.0580%.

Step-by-step explanation:

To construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system, we need to use the sample data provided. The study found that 0.0324% of the 420,051 cell phone users developed this type of cancer.

To calculate the confidence interval, we can use the formula:

CI = sample proportion ± z * square root((sample proportion * (1 - sample proportion)) / sample size)

Simplifying the expression, we find:

CI ≈ (0.000068, 0.000580)

Therefore, the 90% confidence interval estimate for the percentage of cell phone users who develop cancer of the brain or nervous system is approximately 0.0068% to 0.0580%.