Question

​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 589

randomly selected adults showed that 58​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p = 0.5

H_a : p 0.5

n = 589

= 0.58

P₀ = 0.5

1 - P₀ = 0.5

z = - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.58 - 0.5 / [(0.5 * 0.5) / 589]

= 3.88

Test statistic = 3.88