Question

A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of ?=1000 registered voters and found that 520 would vote for the Republican candidate. Let ? represent the proportion of registered voters in the state who would vote for the Republican candidate. We test ?0:?=.50 ??:?>.50 (a) The test statistic is ? = (b) P-value =

Answer 1

a)

We have for given example,                      
Population proportion value is =0.5                  
x=520                  
                      
n=1000                  
              
Estimate for sample proportion = \hat{p}=0.52                  
                      
Z test statistic formula for proportion

b) P value = 0.1038.....................by using Z table or by using Excel command =1-NORMSDIST(1.26)