You 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 significant change/a significant decrease/no significant change) a significant increase in the sample size that is required.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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You 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 significant change/a significant decrease/no significant change) a significant increase in the sample size that is required.

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