Question

Lesson 6.07: In a random sample of 74 homeowners in a city, 22 homeowners said they wouldsupport a ban on nonnatural lawn fertilizers to protect fish in the local waterways. The samplingmethod had a margin of error of 3.1%. SHOW ALL WORKIA) Find the point estimate.B) Find the lower and upper limits and state the interval

Answer 1

Ana, this is the solution to the exercise:

Part A

• Point Estimate = Number of successes/Sample size

,

• Point Estimate = 22/74

,

• Point Estimate = 0.297

,

• Point Estimate = 0.3 (Rounding to the next tenth)

Part B

p = 0.3

1 - p = 0.7

Margin of error = +/- 3.1% = 0.031

Using the formula for calculating the interval we have:

0.3 +/- 0.031

• Lower limit = 0.3 - 0.031 = 0.269

,

• Upper limit = 0.3+ 0.031 = 0.331

Statement: Based on the data provided, the confidence interval is:

0.269 < p < 0.331, with a margin of error of 3.1%