Complete this exercise using the Seven Steps to Hypothesis Testing learned in class. In the past, patrons of a cinema co
Posted: Sun Sep 05, 2021 5:21 pm
Complete this exercise using the Seven Steps to Hypothesis
Testing learned in class.
In the past, patrons of a cinema complex have spent an average
of $2.50 for popcorn and other snacks, with a standard deviation of
$0.90. The amounts of these expenditures have been normally
distributed. Following an intensive publicity campaign by a local
medical society, the mean expenditures for a sample of 18 patrons
is found to be $2.10. In a one- tail test at the .05 level of
significance, does this recent experience suggest a decline in
spending? Determine and interpret the p-value for the
test.
I.DETERMINE AND STATE THE NULL HYPOTHESIS (HO) & THE
ALTERNATIVE HYPOTHESIS (H1).
II.STATE THE LEVEL OF SIGNIFICANCE, α.
III. DETERMINE THE SAMPLING DISTRIBUTION OF THE APPROPRIATE
STATISTIC AND STATE THE TEST STATISTIC.
IV. DETERMINE & STATE THE DECISION RULE.
V.CALCULATE THE VALUE OF THE TEST STATISTIC.
VI. MAKE THE DECISION – STATING THE LEVEL OF SIGNIFICANCE.
VII. DRAW THE CONCLUSION:1. IN REGARD TO THE ORIGINAL PROBLEM
STATEMENT.2. ALWAYS IN TERMS OF THE ALTERNATIVE HYPOTHESIS (H1).3.
IF THE DECISION WAS TO REJECT HO, A STRONG CONCLUSION CAN BE MADE.
4. IF THE DECISION WAS TO FAIL TO REJECT HO, A WEAK CONCLUSION MUST
BE MADE.
Testing learned in class.
In the past, patrons of a cinema complex have spent an average
of $2.50 for popcorn and other snacks, with a standard deviation of
$0.90. The amounts of these expenditures have been normally
distributed. Following an intensive publicity campaign by a local
medical society, the mean expenditures for a sample of 18 patrons
is found to be $2.10. In a one- tail test at the .05 level of
significance, does this recent experience suggest a decline in
spending? Determine and interpret the p-value for the
test.
I.DETERMINE AND STATE THE NULL HYPOTHESIS (HO) & THE
ALTERNATIVE HYPOTHESIS (H1).
II.STATE THE LEVEL OF SIGNIFICANCE, α.
III. DETERMINE THE SAMPLING DISTRIBUTION OF THE APPROPRIATE
STATISTIC AND STATE THE TEST STATISTIC.
IV. DETERMINE & STATE THE DECISION RULE.
V.CALCULATE THE VALUE OF THE TEST STATISTIC.
VI. MAKE THE DECISION – STATING THE LEVEL OF SIGNIFICANCE.
VII. DRAW THE CONCLUSION:1. IN REGARD TO THE ORIGINAL PROBLEM
STATEMENT.2. ALWAYS IN TERMS OF THE ALTERNATIVE HYPOTHESIS (H1).3.
IF THE DECISION WAS TO REJECT HO, A STRONG CONCLUSION CAN BE MADE.
4. IF THE DECISION WAS TO FAIL TO REJECT HO, A WEAK CONCLUSION MUST
BE MADE.