Calculate the value of the test statistic Negative values sh

Calculate the value of the test statistic. (Negative values should be indicated by a minus sign.Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Calculate the p-value. (Round your answer to 4 decimal places.)

Solution

Here, we see that pdo =    0   , the hypothesized population proportion difference.  
          
Getting p1^ and p2^,          
          
p1^ = x1/n1 =    0.556506849      
p2 = x2/n2 =    0.658482143      
          
Also, the standard error of the difference is          
          
sd = sqrt[ p1 (1 - p1) / n1 + p2 (1 - p2) / n2] =    0.030407015      
          
Thus,          
          
z = [p1 - p2 - pdo]/sd =    -3.353676523   [ANSWER, A]

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Also, the p value is          
          
P =    0.000797455   [ANSWER, B]

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PART C.

As P < 0.01, then we reject the null hypothesis.

OPTION B: Reject H0 since the p-value is less than .