Suppose a recent random sample of employees nationwide who have a 401(k) retirement plan found that 22% of them had borrowed against it in the last year. A random sample of 100 employees from a local company who have a 401(k) retirement plan found that 19 had borrowed from their plan. Based on the sample results,i it possible to conclude, at the a = 0.10 level of significance, that the local company had a lower proportion of borrowers from its 401(k) retirement plan than the 22% reported nationwide? 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 her 401(k) retirement plan in the last year. O A. Ho: p=0.22 HA: p#0.22 O B. Ho:p<0.22 HA: p20.22 OC. Ho: ps0.22 HA:p>0.22 O D. Ho: p20.22 HA:p<0.22 Perform the test using a normal approximation. Identify the test statistic. (Round to two decimal places as needed.) Identify the p-value. (Round to three decimal places as needed.)

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Suppose a recent random sample of employees nationwide who have a 401(k) retirement plan found that 22% of them had borrowed against it in the last year. A
random sample of 100 employees from a local company who have a 401(k) retirement plan found that 19 had borrowed from their plan. Based on the sample results, is
it possible to conclude, at the oa = 0.10 level of significance, that the local company had a lower proportion of borrowers from its 401(k) retirement plan than the 22%
reported nationwide?
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 her
401(k) retirement plan in the last year.
O A. Ho: p=0.22
HA:P+0.22
О В. Но: р<0.22
HA: p20.22
O C. Ho: ps0.22
HA: p>0.22
O D. Ho: p20.22
HA: p<0.22
Perform the test using a normal approximation. Identify the test statistic.
(Round to two decimal places as needed.)
Identify the p-value.
(Round to three decimal places as needed.)
Transcribed Image Text:Suppose a recent random sample of employees nationwide who have a 401(k) retirement plan found that 22% of them had borrowed against it in the last year. A random sample of 100 employees from a local company who have a 401(k) retirement plan found that 19 had borrowed from their plan. Based on the sample results, is it possible to conclude, at the oa = 0.10 level of significance, that the local company had a lower proportion of borrowers from its 401(k) retirement plan than the 22% reported nationwide? 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 her 401(k) retirement plan in the last year. O A. Ho: p=0.22 HA:P+0.22 О В. Но: р<0.22 HA: p20.22 O C. Ho: ps0.22 HA: p>0.22 O D. Ho: p20.22 HA: p<0.22 Perform the test using a normal approximation. Identify the test statistic. (Round to two decimal places as needed.) Identify the p-value. (Round to three decimal places as needed.)
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