Question

Claim: Most adults would erase all of their personal information online if they could.A software firm survey of 453 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. (Round to two decimal places as needed.)

Answer 1

The value of the test statistic is 4.26.

Explanation:

In this case a hypothesis test is performed to determine whether most adults would erase all of their personal information online if they could.

A random sample of n = 453 adults were selected and it was found that 60% of them would erase all of their personal information online if they could.

Assume that the population proportion is, p = 0.50.

A z-test for single proportion would to used to perform the test.

Compute the value of the test statistic as follows:

`z=\frac{\hat p-p}{\sqrt{(p(1-p))/(n)}}`

`=\frac{0.60-0.50}{\sqrt{(0.50(1-0.50))/(453)}}\\\\=(0.10)/(0.0235)\\\\=4.25532\\\\\approx 4.26`

Thus, the value of the test statistic is 4.26.