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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.

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okpalawalter8

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 [tex]H_o[/tex] hence no significant  evidence

Step-by-step explanation:

From the question we are told that

sample correlation n= 20

population correlation  = 4

level of significance [tex]\alpha =0.05[/tex]

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

Generally null hypothesis  is given by [tex]H_o : p=0[/tex]

alternative hypothesis [tex]H1_1 : p\neq 0[/tex]

generaly the mathematical representation of test statics

        [tex]t= r\sqrt{\frac{n-2}{1-r^2} }[/tex]

        [tex]t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }[/tex]

        [tex]t= 1.85[/tex]

Generally for table the p value is given by [tex]p= 0.08056[/tex]

p value > the null hypothesis

Therefore

We accept [tex]H_o[/tex] hence no significant  evidence

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