Question

the correlation between years of education and salary in a sample of 20 people from a certain company is .4. is this correlation statistically significant.

Answer 1

Complete Question:

The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?

Answer:

We accept
`H_o` hence no significant evidence

Explanation:

From the question we are told that

sample correlation n= 20

population correlation = 4

level of significance
`\alpha =0.05`

Generally we are task to understand existing difference between sample correlation and population correlation

Generally null hypothesis is given by
`H_o : p=0`

alternative hypothesis
`H1_1 : p\\eq 0`

generaly the mathematical representation of test statics

`t= r\sqrt{(n-2)/(1-r^2) }`

`t= 0.04\sqrt{(20-2)/(1-0.4^2) }`

`t= 1.85`

Generally for table the p value is given by
`p= 0.08056`

p value > the null hypothesis

Therefore

We accept
`H_o` hence no significant evidence