Question

Forty employers in a variety of fields and cities were surveyed in 2004 on topics relating to company benefits, and the degree to which employees were supported in terms of flexible work hours and child care assistance. One question asked if the employer had any experience or knowledge about attention-deficit hyperactive disorder (ADHD). Responses of either yes (y) or no (n) are shown below.

n  n  n  n  y  n  y  n  n  y  n  y  y  n  n  y  y  n  y  n

n  n  n  y  y  n  n  n  y  y  n  n  y  n  y  n  n  n  n  n

(a) Set up a 95% confidence interval for the proportion of all employers who have experience or knowledge of ADHD. (Round your answers to two decimal places.)

Answer 1

Result:

Forty employers in a variety of fields and cities were surveyed in 2004 on topics relating to company benefits, and the degree to which employees were supported in terms of flexible work hours and child care assistance. One question asked if the employer had any experience or knowledge about attention-deficit hyperactive disorder (ADHD). Responses of either yes (y) or no (n) are shown below.

n  n  n  n  y  n  y  n  n  y  n  y  y  n  n  y  y  n  y  n

n  n  n  y  y  n  n  n  y  y  n  n  y  n  y  n  n  n  n  n

(a) Set up a 95% confidence interval for the proportion of all employers who have experience or knowledge of ADHD. (Round your answers to two decimal places.)

proportion of all employers who have experience or knowledge of ADHD = 14/40

CI for proportion

P=14/40=0.35

Z value for 95% = 1.96

=( 0.2022, 0.4978)

95% confidence interval for proportion of all employers who have experience or knowledge of ADHD=(0.20, 0.50) .    ( two decimal places)