Question

​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 527 randomly selected adults showed that 60​% of them would erase all of their personal information online if they could. Find the value of the test statistic (rounded 2 decimal places).

Answer 1

Solution:
Given in the question
The claim is Most adults would erase all of their personal information online if they could so null and alternate hypothesis can be written as
Null hypothesis H0: p = 0.5
Alternate hypothesis Ha: p > 0.5
Number of sample = 527
Sample proportion p^ = 0.6
Here we will use one proportion Z test
So test stat value can be calculated as
Test stat = (p^ -p)/sqrt(p*(1-p)/n) = (0.6-0.5)/sqrt(0.5*(1-0.5)/527) = 0.1/sqrt(0.00047) = 0.1/0.0218 = 4.59
So Value of the test statistic = 4.59