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.

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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 [tex]H_o : p = 0.28[/tex] vs [tex]H a : p < 0.28[/tex]when the sample has n 900 , and [tex]\^ p = 0.216[/tex] with [tex]SE= 0.01[/tex] . Find the value of the standardized z -test statistic. Round your answer to two decimal places.

Answer:

The value is  [tex]z = -6.40[/tex]

Step-by-step explanation:

Generally the standardized test statistics is mathematically represented as

     [tex]z = \frac{\^ p - p }{ SE }[/tex]

=>  [tex]z = \frac{0.216 - 0.28 }{ 0.01 }[/tex]

=>  [tex]z = \frac{0.216 - 0.28 }{ 0.01 }[/tex]

=>  [tex]z = -6.40[/tex]