6) The Family and Medical Leave Act provides job protection and unpaid time off from work for a serious illness or birth of a child. In 2000, 60% of respondents of a survey stated that it was very 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 FMLA revealed that 56% found it easy to get time off. At α = 0.05, can it be concluded that the percentage has changed from 2000 levels?
a) What are the null and alternate hypotheses for this scenario?
b) What is/are the critical value(s) for this scenario?
c) What is the value of the test statistic? If calculating by hand, show your work
d) What is the conclusion for this hypothesis test
e) Summarize your findings
f) What is the p-value for this test?
g) What is the 95% confidence interval for this scenario? Do the results of the hypothesis test seem to agree with the confidence interval? Explain.
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