Consider the following competing hypotheses and accompanying sample data. Use Table 1. 
H_{0} : P_{1}− P_{2} = 0.20 
H_{A} : P_{1}− P_{2} ≠ 0.20 
x_{1} = 150  x_{2} = 130 
n_{1} = 250  n_{2} = 400 
a. 
Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) 
Test statistic 
b. 
Approximate the pvalue. 


c.  At the 5% significance level, what is the conclusion?  

d.  Using the critical value approach, can we reject the null hypothesis at the 5% level?  

a)
value of the test statistic =1.88
b)
0.05 ≤ pvalue < 0.10
c)
Do not reject H_{0}; there is not enough evidence to say the population proportions differ by 0.20. 
d)
No, since the value of the test statistic is less than the critical value of 1.96. 
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