Level of significance

Question

it is claimed that the % of people who will vote for candidate A is 48%. Suppose in a random sample of 410 registered voters 194 said they would vote for candidate A. With a level of significance of 7% test this claim 

Answer 1

Lisa,

 

Hi I will be happy to help

 

We are trying to see if 194/410 is significantly different than .48

 

 

We will calculate a z score :

 

(194/410 - .48)/ sqrt(.48*.52/410) = -.2767

 

This associates with a p-value of .7819

 

.7819 > .07

 

Therefore, we fail to reject the null hypotheses.

 

We do not have evidence to suggest that the claim is wrong at the 7% alpha level