You have to put forth a little more effort for us to help you. Try writing out the hypotheses and we will critique.
Sounds like a one-sample ttest or Wilcoxon sign test.
I am given the following data:
Observation Wage
1 $8.75
2 $10.00
3 $10.25
4 $6.50
5 $15.00
6 $10.00
7 $8.00
8 $7.50
9 $12.75
10 $9.25
From this I get a sample mean of 9.8. A standard deviation of 2.51.
My problem is the following:
Use proper notation, write the “null” and “alternative” hypotheses for the population mean wage being less than $10. Use the data above to conduct this test using a level of significance (α) equal to 0.10. Show your work.
Any help would be greatly appreciated.
Thanks
You have to put forth a little more effort for us to help you. Try writing out the hypotheses and we will critique.
Sounds like a one-sample ttest or Wilcoxon sign test.
Stop cowardice, ban guns!
I've been trying to figure that out to begin with. It has been a while since I have done these. Are either of these correct?
H0: There is no statistically significant relationship between high school dropouts and their current wages.
H1: There is a statisically significant relationship between high school dropouts and their current wages thus leading to the hypothesis that the mean wage is less than $10.
H0: The population parameter is greater than or equal to $10
H1: The parameter is less than $10
Ha: Population average wage < $10 at alpha = 0.10 level.
Ho: Population average wage >/= $10 at alpha = 0.10 level.
It has been over a decade since I have done these and the question does not explicitly say what the question is (< 10 is alternative or null, I am guessing the null).
Stop cowardice, ban guns!
You don't typically mention the alpha in the hypothesis themselves. Silly nitpick but typically we write the null before the alternative. The statement you want to 'prove' is what you write as your alternative so I'd say you got the null and alternative correct after those changes.
I don't have emotions and sometimes that makes me very sad.
H0 depends on the philosophy of your instructor.H0: The population parameter is greater than or equal to $10
H1: The parameter is less than $10
Commonly, a research hypothesis such as: parameter < constant
does not requite a statistical hypothesis parameter >= constant .
Instead parameter = constant would be the Null.
But maybe they taught you otherwise, and you have to stick to it.
With kind regards
K.
»Jetzt kann mich der Führer mal am Arsch lecken.« (Ernst Kuzorra, 1941)
The bold should be removed from the hypotheses. Statistical significance is a property of a test that doesn't actually apply to the thing under study. In other words, a test can be "significant" at some alpha level, but a relationship either exists or it does not. The relationship is not "statistically significant," but the test can be.
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