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  $z = -6.40$

Step-by-step explanation:

Generally the standardized test statistics is mathematically represented as

     $z = \frac{\^ p - p }{ SE }$

=>  $z = \frac{0.216 - 0.28 }{ 0.01 }$

=>  $z = \frac{0.216 - 0.28 }{ 0.01 }$

=>  $z = -6.40$