Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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- A claim is made that 85% of college students own a smartphone. Natalie believes that a larger percentage of college students own smartphones. She surveys a random sample of 150 college students, and she finds that 135 of these students own a smartphone. The calculations Natalie engaged in to determine the test statistic are shown below. What is wrong with these calculations? The sample proportion was computed incorrectly. The numerator should be “0.85 – 0.90” instead of “0.90 – 0.85.” The value of n used in the denominator should be 135 instead of 150. Instead of using the value of 0.85 in the denominator, the value of 0.90 should have been used. Nothing is wrong.arrow_forwardYou want to estimate the percentage of adults who believe that passwords should be replaced with biometric security (such as fingerprints). How many randomly selected adults must you survey? Assume that you want to be 99% confident that the sample percentage is within 2.5 percentage points of the true population percentage. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage of adults who believe that passwords should be replaced with biometric security. The sample size needed is ___ b. Assume that a prior survey suggests that about 47% of adults believe that biometric security should replace passwords. The sample size needed is ___ c. Does the additional survey information from part (b) have much of an effect on the sample size that is required? The additional survey information from part (b) causes the required sample size to change by (less than/more than/less than) 10%. Based on this, the additional survey information causes (no…arrow_forwardSeveral 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, 62% 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. Click the icon to view the data table. 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…arrow_forward
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