Question

​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 464 randomly selected adults showed that 64​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Answer 1

The value of the test statistic = 6.03

Explanation:

The test statistics for a proportion of the population is the z calculated as follows;

`z=\frac{\hat{p}-p}{\sqrt{(pq)/(n)}}`

Where:

`\hat{p}` = 0.64

From the rule of large numbers we have, the proportion of adults who will erase their information online will tend towards 1/2 or 0.5 therefore, we have

p = 0.5 as the test

q = 1 - p = 1 - 0.5 = 0.5

n = Sample size = 464

Therefore, z is given by;

`z=\frac{0.64-0.5}{\sqrt{(0.5 * 0.5)/(464)}}`

= 6.03

The value of the test statistic = 6.03.