Determine the test statistic and pvalue for H_{0}: p = 0.2 versus H_{a}: p ≠ 0.2 when n = 100 and the sample proportion is 0.26.
Question 9 options:
A. Z = 1.46; pvalue = .144 

B. Z = 2.65; pvalue = .008 

C, Z = 0.98; pvalue = .327 

D. Z = 1.5; pvalue = .134 
To Test :
H_{0}: p = 0.2
H_{a}: p ≠ 0.2
n = 100
P = X / n = 0.26
Test Statistic :
Z = 1.5
Test Criteria :
Reject null hypothesis if
= 1.5 < 1.96, hence we fail to reject the null hypothesis
Conclusion : We Fail to Reject H0
Decision based on P value
P value = 2 * P ( Z > 1.5 )
P value = 0.1336
Reject null hypothesis if P value <
Since P value = 0.1336 > 0.05, hence we fail to reject the null
hypothesis
Conclusion : We Fail to Reject H0
Option
D. Z = 1.5; pvalue = .134 is correct 
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