hincape_95
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- Nov 15, 2016
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I was given this homework question to do and i am completely lost and confused. I need to know what my statistical decision would be and what my p-value would be. I'm not completely sure if I did it right.
At 5% significance level, conduct a hypothesis test to determine whether the average incomes of male and female employees are significantly different. (Assume equal variance).
State the null and alternative hypotheses:
The null hyptheses: There is no significant difference in the average income of male and female employees
The alternative hypotheses: There is a significant difference in the average income of male and female employees
Justify your choice of statistical method:
We will do a t-test sample size, two samples, because the sample size is less than 30.
My test is two-tailed because I am looking for the difference between the average income and male and female.
Find the critical value:
The T-Critical value for two-tail is 2.004879
Find the test value:
The T-Stat value is -0.09874
Make the statistical decision: (NOT SURE IF IT'S RIGHT)
Since the T-test value is not in the critical area, I do not have evidence to support the null hypothesis. The average income of male and female employees are significantly different
Find and interpret the p-value (NOT SURE IF IT'S RIGHT)
My p-value is very small 0.92171. This is much less than 5% so I have evidence to reject the null hypothesis.
0r
My p-value is 0.92171. This means I have a p-value of 27.1% chance of incurring an error when the null hypothesis is rejected. Since this is more than the allowable 5% significance level.
At 5% significance level, conduct a hypothesis test to determine whether the average incomes of male and female employees are significantly different. (Assume equal variance).
State the null and alternative hypotheses:
The null hyptheses: There is no significant difference in the average income of male and female employees
The alternative hypotheses: There is a significant difference in the average income of male and female employees
Justify your choice of statistical method:
We will do a t-test sample size, two samples, because the sample size is less than 30.
My test is two-tailed because I am looking for the difference between the average income and male and female.
Find the critical value:
The T-Critical value for two-tail is 2.004879
Find the test value:
The T-Stat value is -0.09874
Make the statistical decision: (NOT SURE IF IT'S RIGHT)
Since the T-test value is not in the critical area, I do not have evidence to support the null hypothesis. The average income of male and female employees are significantly different
Find and interpret the p-value (NOT SURE IF IT'S RIGHT)
My p-value is very small 0.92171. This is much less than 5% so I have evidence to reject the null hypothesis.
0r
My p-value is 0.92171. This means I have a p-value of 27.1% chance of incurring an error when the null hypothesis is rejected. Since this is more than the allowable 5% significance level.