Question

E.R.: What Percent of Accidents Involve Children under 6? 150 accidents that required treatment in an emergency room were randomly sampled from hospitals across the country. It was found that 36% of these accidents involved children less than 6 years of age. Estimate the percentage of accidents requiring E.R. treatment that involves a child less than 6 years old at the 90% confidence level. Be sure to complete all of the required steps in answering this question.

90% confidence interval results:

L. Limit = 0.29553517

U. Limit = 0.42446483

Answer 1

Solution :

Given that,

n = 150

Point estimate = sample proportion = = 0.36

1 - = 1-0.36 = 0.64

At 90% confidence level

= 1-0.90% =1-0.90 =0.10

/2 =0.10/ 2= 0.05

Z/2 = Z0.05 = 1.645

Z/2 = 1.645   

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 1.645 * ((0.36*(0.64) /150 )

= 0.064

A 90% confidence interval for population proportion p is ,

- E < p < + E

0.36 - 0.064< p < 0.36 + 0.064

0.296< p < 0.424

( 0.296, 0.424 )