Question
Suppose a recent random sample of employees nationwide who have a401(k) retirement plan found that 18% of them had borrowed against it in the last
Suppose a recent random sample of employees nationwide who have a401(k) retirement plan found that 18% of them had borrowed against it in the last year. A random sample of 92 employees from a local company who have a401(k) retirement plan found that 13 had borrowed from their plan. Based on the sampleresults, is it possible toconclude, at the =0.025 level ofsignificance, that the local company had a lower proportion of borrowers from its401(k) retirement plan than the 18% reportednationwide?
Identify the null and alternative hypotheses for this test. Let p be the population proportion of employees from the local company who borrowed against his or her401(k) retirement plan in the last year.
A.
H0: p0.18
HA: p>0.18
B.
H0: p=0.18
HA: p0.18
C.
H0: p0.18
HA: p<0.18
D.
H0: p<0.18
HA: p
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