Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 74% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d.

a. Determine the sample proportion of company workers who participate in 401(k) accounts.The sample proportion is ? (Round to three decimal places as needed.)

b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation.The error is ?

(Round to three decimal places as needed.)

c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the company's workers have the same proportion of participants in the 401(k) accounts as does the rest of the nation.The probability is ? (Round to four decimal places as needed.)

d. Does it appear that a larger proportion of company workers participate in 401(k) accounts than do the workers of the nation as a whole? Support your response.

Yes,

No,

because there is a ? enter your response here % chance of obtaining a sample proportion greater than the one calculated in part a if the population proportion is

74%.

(Round to the nearest percent as needed.)

Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401 (k) accounts. Nationwide, 74% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d. g Click the icon to view the data table. a. Determine the sample proportion of company workers who participate in 401 (k) accounts. The sample roportion is . Round to three decimal places as needed.) b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation. The error is . Round to three decimal places as needed.) 0. Determine the pro ability that a sample proportion at least as large as that obtained in the sample would be obtained ifthe company's workers have the same proportion of participants in the 401(k) accounts as does the rest of the nation. 'he probability is . (Round to tour decimal places as needed.) d. Does it appearthat a larger proportion of company workers participate in 401(k) accounts than do the workers of the nation as a whole? Support your response. V because there is a % chance of obtaining a sample proportion greater than the one calculated in part a it the population proportion is 74%. (Round to the nearest percent as needed.)