Question

Problem 1. For each of the following scenarios, give notationfor the sample statistics and population parameter being estimated.  Use the information provided to construct a 99% confidence interval. Write the interval in terms of population parameter.

1. In a random sample of 100 families, 67 families have at least one dog

• • Sample statistic is            _________________________
• • Population parameter is _________________________
• • Calculate the Standard Error
• • Confidence Interval:   
  2. In the sample of 61 dog owners, the average veterinary expenditure per year is $100 with the standard deviation of $30.

• • Sample statistic is            _________________________
• • Population parameter is _________________________
• • Calculate the Standard Error
  • Confidence Interval:

Answer 1

ay This is is problem of population proportion Sample Statistic Ê ( sample proportion ) population Porameter = p ( population proportion Here sample size n = 100 Sample proportion 67 0.67 100 Blood (SE) A standard Enor 0.67 X 0.33 100 n 0.047 .: 99%. confidence interval :( § + Z* SE) z 2:576 Z store for 99%. -0.671 2.576 *0.047) Confidence nce) 0.549, 0.791 Here, sample statistie - (sample Mean) population parameter M ( population Mean Given, n=61 S = 30 standard Enor = 30 3.8411 VOI 994. confidence interval ( * I ** s van Ł*, t score Confidence with df=(n-1) -(100 2.66 X 3.8411 2.66 = 60 ( 89.783 110.217 x = 100, S NA for 99%.