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iew History Bookmarks People Window Help blackboard.com/webapps/assessment/takelaunch.jsp?course assessment id= 241 68-1 &course; id--18047_1 & ttempt=1&conte; : Decision is to not to Reject the Null Hypothesis QUESTION 5 2 points The statistics below describe the mean of the household income (people of income up to $250,000) for US households based on samples taken from New York State and New Jersey State. Test the hypothesis that the mean household income in NY State is less than that in NJ at = 0.01 and answer the following questions: The hypothesis test is:... The standard error of difference is The test statistic is... The Decision is to.... The Margin of Error is The confidence Interval is New York New Jersey Stat Mean $55,603 5000 40 $69,811 7000 40

Explanation / Answer

The statistical software output for this problem is:

Two sample Z summary confidence interval:
1 : Mean of population 1 (Std. dev. = 5000)
2 : Mean of population 2 (Std. dev. = 7000)
1 - 2 : Difference between two means

Hypothesis test results:

99% confidence interval results:

Hence,

Hypothesis test is: z test

Standard error: 1360.1471 [Rounded off to 4 decimal places]

Test statistic = -10.45

Decision: Reject Ho

Margin of Error = 3503.507 [Rounded off to 3 decimal places]

Confidence interval: (-17711.507, -10704.493)

Difference n1 n2 Sample mean Std. err. Z-stat P-value 1 - 2 40 40 -14208 1360.1471 -10.445929 <0.0001

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