Respuesta :
We can rule out the null hypothesis, allowing her assertion to stand because the value of P is less than 0.05(P<0.05) if the salaries for actuaries Nationwide graduates entering the actuarial field earn $40,000.
What is Z-test?
The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.
We have Salaries for actuaries Nationwide graduates entering the actuarial field earn $40,000.
Let's suppose the null hypothesis is H0
[tex]\rm H0: \mu = 40,000\\[/tex]
An alternative hypothesis is H1
[tex]\rm H1: \mu > 40,000[/tex]
Using Z-test
[tex]\rm Z_{test} = \frac{X' - \mu}{{\sigma} }[/tex]
We have
X' = 41,000, [tex]\mu = 40,000[/tex], and [tex]\sigma = 500[/tex],
[tex]\rm Z_{test} = \frac{41000-40000}{{500}}[/tex]
[tex]\rm Z_{test} = \frac{1000}{500 }[/tex]
[tex]\rm Z{test }= 2[/tex]
P-value from the Z-table for [tex]\rm Z{test }= 2[/tex]
P(Z = 2) = 0.02275
Since the value of p is less than 0.05 We can rule out the null hypothesis, allowing her assertion to stand.
Thus, we can rule out the null hypothesis, allowing her assertion to stand because the value of P is less than 0.05(P<0.05) if the salaries for actuaries Nationwide graduates entering the actuarial field earn $40,000.
Learn more about the Z-test here:
https://brainly.com/question/15683598
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