Question

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test vs when the sample has , , and with . Find the value of the standardized z-test statistic. Round your answer to two decimal places.

Answer 1

Complete Question

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test
`H_o : p = 0.28` vs
`H a : p < 0.28`when the sample has n 900 , and
`\^ p = 0.216` with
`SE= 0.01` . Find the value of the standardized z -test statistic. Round your answer to two decimal places.

Answer:

The value is
`z = -6.40`

Explanation:

Generally the standardized test statistics is mathematically represented as

`z = (\^ p - p )/( SE )`

=>
`z = (0.216 - 0.28 )/( 0.01 )`

=>
`z = (0.216 - 0.28 )/( 0.01 )`

=>
`z = -6.40`