Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in a newspapers survey of 491 people, 53.2% said that we should replace…

Question

in a newspapers survey of 491 people, 53.2% said that we should replace passwords with biometric security, such as fingerprints. the accompanying statdisk display results from a test of the claim that half of us say that we should replace passwords with biometric security. use the normal distribution as an approximation to the binomial distribution. use the display and a 0.10 significance level to complete parts (a) through (e).
sample proportion: 0.5315682
test statistic, z: 1.3990
critical z: ±1.6449
p - value 0.1618
b. what is the test statistic?
z =
(round to two decimal places as needed.)

Explanation:

Step1: Locate the test statistic value

The test statistic \(z\) is directly given in the Statdisk display.

Answer:

\(z = 1.40\) (rounded to two decimal places from the given \(z = 1.3990\))