Question

Hi, can you help me answer this question please, thank you

Answer 1

We are asked to determine the p-values for a proportion that is greater than 0.51. Since we are asked about the hypothesis being greater then the p-value is given by:

`p-\text{value}=P(z>3.065)`

This is a right-tailed test. To determine this probability we need to use the fact that:

`P(z>3.065)=P(z<-3.065)`

replacing we get:

`p-\text{value}=P(z<-3.065)`

Now, from the tables for z-scores in the normal distribution we get:

`p-\text{value}=0.0011`

Therefore, the p-value is 0.0011