Question

In a survey of 3484 adults aged 57 through 85 years, it was found that 84.7% of them used at least one prescription medication.
a. How many of the 3484 subjects used at least one prescription medication.
b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.

Answer 1

Number of adults aged 57 through 85 years, n 3484 he proportion of adults used at least one prescription medicon p 0.847 Let x be the adults used at least one prescription medication. How many of the 3484 subjects used at least one prescription medication. That is find the value of x The formula for sample proportion is, Х-3484(0.847) x 2950.948 x2951

Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication The (1-α) % confidence interval for population proportion is. p(1-P) Hee, th ritical value. pis the sample proportion and n is the sample size. From the standard normal distribution table, the critical value at 0.10 level for two tailed is 1.645 The 90% confidence interval estimate ofthe percentage of adults aged 57 through 85 years who use at least one prescription medication is, 0.847 (1-0.847) 3484 C1 = 0.847 ±1.645, - - 0.847t0.01003262 (0.8370,0.8570)