The decision would be to fail to reject the null hypothesis and conclude that there is insufficient evidence.
<h3>How to solve for the mean of the data set</h3>
The formula is fx/n
To get fx we have to sum all of the values of x = 2430161
The total number in the data set = 35
Mean = 2430161/35
= 69433.17
This test is a left tail test.
sd = 8500
<h3>We have to make the hypothesis</h3>
H0: u = 70000
H1 : U < 70000
z0.05 = 1.645
The decision would be to reject if z < critical value
Z= (69433.17 - 70000)/(8500/√35)
= -0.395
P-value can be gotten from the z score = 0.348
Given that the p value is > 0.05, we would have to fail to reject the null. The conclusion would be that there is insufficient evidence to support claim.
Read more on test statistics here:
brainly.com/question/15980493
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