Chapter 09 Section 94 Problem 092SolutionFormulating the nul

Chapter 09, Section 9.4, Problem 092

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   =   0.55
Ha:   p   =/=   0.55
As we see, the hypothesized po =   0.55      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.59      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.011413289      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    3.504686617   [ANSWER, OBSERVED Z]

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As this is a    2   tailed test, then, getting the p value,  
          
p =    0.000457145 [ANSWER, P VALUE]

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As significance level =    0.1, two tailed, then the critical values are

zcrit = -1.645 and 1.645 [ANSWER]