Week 5 Assignment
Anonymous

### Question Description

One-Sample 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 one-sample 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 1,050-word statistical analysis based on the Case Study Scenarios and SpeedX Payment Times.

Case 1: Election Results

• Use 0.10 as the significance level (α).
• Conduct a one-sample 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 one-sample hypothesis test and determine if you can convince the CFO to conclude the plan will be profitable.

Format your assignment consistent with APA format.

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Kindly see attached file with the requested 700-1050 word analysis of the case studies together with the corresponding plagiarism report

Running head: ONE-SAMPLE HYPOTHESIS TEST CASE STUDIES

ONE-SAMPLE HYPOTHESIS TEST CASE STUDIES
(NAME)
(PROFESSOR’S NAME)
(COURSE)
(DATE)

1

ONE-SAMPLE 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 one-sample tests. However, they differ
in the sense that the first case study presents an example of a two-tailed test whereas the second
case study presents an example of a one-tailed 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.

ONE-SAMPLE 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 p-value

Probability (|z| > 1.77) = 0.0765

As can be observed from the outcome of the hypothesis test presented in table 2, the
resulting p-value 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

ONE-SAMPLE 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 self-addressed 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 self-addressed 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 self-addressed envelope together with the bill an...

strongboss5 (2493)
University of Maryland
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