The Family and Medical Leave Act provides job protection and unpaid time off for
ID: 3320284 • Letter: T
Question
The Family and Medical Leave Act provides job protection and unpaid time off for full time employees in the U.S. from work for a serious illness or birth of a child. In 2000, 60% of the respondents of a survey stated that it was easy to get time off for these circumstances. A researcher wishes to see if the percentage who said it was easy to get time off has changed. A sample of 100 people who used the leave showed that 53% found it easy to get the leave.
a) In this study, define the following:
Population:
Sample: Sample Size:
Sample Proportion: Margin of Error:
b) Find the 95% confidence interval for the percent of people who found it easy to get the medical leave from the researcher’s sample. Interpret the 95% confidence interval in complete sentences written for a general audience.
c) The researcher would like to conduct a hypothesis test to evaluate his claim that the percent of people getting leave has changed. State the null and alternative hypotheses.
Null:
Alternative:
d) What is your decision regarding the null and alternative hypothesis? Explain your decision and write a conclusion using complete sentences for a general audience.
Explanation / Answer
a)
population - full time employees in the U.S.
sample - 100 people
sample size = 100
Sample Proportion: 0.53
Margin of Error: z*sqrt(pq/n) = 1.96*sqrt(0.53*0.47/100)
= 0.097823
b) 95% confidence interval is
(0.432178, 0.627822)
c) Ho: p = 0.6
Ha: p not equal to 0.6
since 0.6 is present is confidence interval
we fail to reject it and conclude that there is not sufficient
evidence that percentage has changed