Question

in a newspapers survey of 489 people, 52.1% said that we should replace passwords with biometric security, su fingerprints. the accompanying statdisk display results from a test of the claim that half of us say that we shou replace passwords with biometric security. use the normal distribution as an approximation to the binomial distrib use the display and a 0.01 significance level to complete parts (a) through (e).
sample proportion: 0.5214724
test statistic, z: 0.9497
critical z: ±2.5758
p - value: 0.3423
left - tailed
right - tailed
b. what is the test statistic?
z = 0.95
(round to two decimal places as needed.)
c. what is the p - value?
p - value=
(round to three decimal places as needed.)

Explanation:

Step1: Find the P - value

The P - value is directly given in the Statdisk display as \(0.3423\).

Step2: Round the P - value

We need to round \(0.3423\) to three decimal places. Looking at the fourth decimal place (3), since \(3<5\), we keep the third decimal place as it is.

Answer:

\(0.342\)