Question

1. Based on data from the 2007 National Health interview survey, it is estimated that 10% of adults experienced feelings of sadness for all, most, or some of the time" during the 30 days prior to the interview. You interview a random sample of 68 people who have recently filed for unemployment benefits in your county, and ask this same question in your survey. (a) Identify the implied target population for your study. (b) the proportion of your population with these feelings is the same as the 10% nationally, what is the probability that your sample will have 12 or more people with these feelings? Prob (x 2 12) 1- Probx s 11) Successes Binomial 1-binomial 0.0008 0.9992 0.0066 0.0284 Please explain what the results provids 0.9934 0.9716 (c) what would you condude if your sample did have 12 or more people with these feelings? 0.08160.9 0.1776 0.3141 0.4734 0.6302 0.8224 0.6859 0.5266 0,3698 0.2369 0.1385 0.0740 0.0362 0.0163 0.0067 0.0026 0.0009 0.7631 0.8615 0.9260 0.9638 0.9837 0.9933 0.9974 13 14 15 0.9992

Answer 1

a)implied population is people who have recently applied for unemployment benefits in the country

b) from given table: P(X>=12)=0.0362

this tells us that probability of getting 12 or more people who have some feeling of sadness within 30 days  out of 68 randomly selected person who have applied for unemployment benefits in the country is 0.0362.

or if we take many samples of 68 such persons then on average approximately 3.62 % of samples have 12 or more people who have some feeling of sadness within 30 days

c) as probability of getting such sample is unusual (less then 0.05 ) we can conclude that there is a chance the percentage is greater then 10% of having a person with such feelings