The mean gross annual incomes of certified tack welders are normally distributed with the mean of $50,000 and a standard deviation of $4,000. The ship building association wishes to find out whether their tack welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. Given the following megastat printout, what conclusions can be made?
A) There is a 1.68% chance of getting these sample results if the annual income is actually $50,000.
B) Since the p-value is 7%, we reject the null hypothesis at a 5% level of significance.
C) Since the p-value is 9%, we have insufficient evidence to reject the null hypothesis at the 5% level of significance.
D) Since the p-value is 9%, we reject the null hypothesis at the 1% level of significance.
E) Since the p-value is incredibly small (far less than 1%) , we reject the null hypothesis at the 1% level of significance.
Correct Answer:
Verified
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