Week 5 Assignment
OneSample Hypothesis Testing Cases
Purpose of Assignment
The purpose of this assignment is to develop students' abilities to combine the knowledge of descriptive statistics covered in Weeks 1 and 2 and onesample hypothesis testing to make managerial decisions. In this assignment, students will learn how statistical analysis is used in predicting an election winner in the first case. In the second case, students will conduct a hypothesis test to decide whether or not a shipping plan will be profitable.
Assignment Steps
Resources: Microsoft Excel^{®}, Case Study Scenarios, SpeedX Payment Times
Develop a 700 to 1,050word statistical analysis based on the Case Study Scenarios and SpeedX Payment Times.
Include answers to the following:
Case 1: Election Results
 Use 0.10 as the significance level (α).
 Conduct a onesample hypothesis test to determine if the networks should announce at 8:01 P.M. the Republican candidate George W. Bush will win the state.
Case 2: SpeedX
 Use 0.10 and the significance level (α).
 Conduct a onesample hypothesis test and determine if you can convince the CFO to conclude the plan will be profitable.
Format your assignment consistent with APA format.
Tutor Answer
Kindly see attached file with the requested 7001050 word analysis of the case studies together with the corresponding plagiarism report
Running head: ONESAMPLE HYPOTHESIS TEST CASE STUDIES
ONESAMPLE HYPOTHESIS TEST CASE STUDIES
(NAME)
(PROFESSOR’S NAME)
(COURSE)
(DATE)
1
ONESAMPLE HYPOTHESIS TEST CASE STUDIES
2
The present report presents the outcomes of the hypothesis tests carried out on the two
proposed case studies. Both hypotheses tests are based on onesample tests. However, they differ
in the sense that the first case study presents an example of a twotailed test whereas the second
case study presents an example of a onetailed test.
First case study: Presidential elections
The objective of this case study is to determine if a media company is able of using the
results from a poll carried out to predict who will win the presidential elections earlier than any
other media company. In this regard, the company conducts a poll to evaluate which candidate
had the Florida citizens voted. The objective of the case study is to determine if the proportion of
voters that have selected George W. Bush is or not different from 50%.
Taking the above information into account, the hypotheses being tested through the
hypothesis test can be summarized as:

Null hypothesis (Ho): The proportion of voters that selected George W. Bush is equal to
50%, meaning p = 0.5. This would imply that the media company can’t use the results of
the poll carried out to predict that George W. Bush will win the election.

Alternative hypothesis (Ha): The proportion of voters that selected George W. Bush is
different from 50%, meaning p ≠ 0.5. This would imply that the media company can use
the results of the poll carried out to predict that George W. Bush will win the election and
should announce it as soon as possible to be the first media company in doing it.
Table 1 presents the outcomes from the poll carried out, while table 2 presents the
outcome from the hypothesis test carried out considering the data obtained from the poll.
ONESAMPLE HYPOTHESIS TEST CASE STUDIES
3
Table 1. Results from the exit poll carried out by the television company in the state of Florida
Pollsters that voted Al Gore
358
Pollsters that voted George W. Bush
407
Total pollsters
765
Proportion of pollsters that voted George W. Bush
phat = 407/765 = 0.532
Table 2. Outcome from the hypothesis test
Formulation of the hypotheses
Ho: p = 0.5
Ha: p ≠ 0.5
Total number of pollsters
n = 765
Calculation of the pooled standard deviation
Calculation of the z statistic
Resulting pvalue
Probability (z > 1.77) = 0.0765
As can be observed from the outcome of the hypothesis test presented in table 2, the
resulting pvalue is of 0.0765. Considering that this value is lower than the desired significance
level of 0.10, the media company should conclude that there is enough evidence to support the
rejection of the null hypothesis. As a result, the outcome from the poll carried out clearly
ONESAMPLE HYPOTHESIS TEST CASE STUDIES
4
indicates that George W. Bush wins the presidential elections in the state of Florida, and the
company can announce the result immediately.
Second case study: The payment time
The objective of this case study is to determine if including a selfaddressed envelope
together with the bill would significantly decrease the amount required by the customers to pay
it. In this regard, the proposed method will be considered effective in decreasing the payment
time if the payment time after its introduction is significantly lower than the current payment
time (24 days, considering a standard deviation of 6 days).
Taking the above information into account, the hypotheses being tested through the
hypothesis test can be summarized as:

Null hypothesis (Ho): The payment time remains the same, meaning μ = 24. This would
imply that the proposed method is not effective at decreasing the payment time such that
it will not be profitable to introduce the selfaddressed envelope together with the bill.

Alternative hypothesis (Ha): The payment time decreases significantly, meaning μ < 24
days. This would imply that the introduced method is effective at decreasing the payment
time and the company could consider the investment profitable considering that it will get
paid significantly earlier.
To perform this hypothesis test, a pilot study was conducted in which 220 customers
were provided with the selfaddressed envelope together with the bill an...
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