Inferential Statistics Analysis

Inferential Statistics Analysis and Writeup Identifying Information Student (Full Name): Class: Instructor: Date: Part A: Inferential Statistics Data Analysis Plan and Computation Introduction: Variables Selected: Table 1: Variables Selected for Analysis Variable Name in the Data Set

Variable Type

Description

Qualitative or Quantitative

Variable 1:

Socioeconomic

Variable 2:

Expenditure

Variable 3:

Expenditure

Data Analysis: 1. Confidence Interval Analysis: For one expenditure variable, select and run the appropriate method for estimating a parameter, based on a statistic (i.e., confidence interval method) and complete the following table (Note: Format follows Kozak outline): Table 2: Confidence Interval Information and Results Name of Variable:

State the Random Variable and Parameter in Words:

Confidence interval method including confidence level and rationale for using it:

State and check the assumptions for confidence interval:

Method Used to Analyze Data:

Find the sample statistic and the confidence interval:

Statistical Interpretation:

2. Hypothesis Testing: Using the second expenditure variable (with socioeconomic variable as the grouping variable for making two groups), select and run the appropriate method for making decisions about two parameters relative to observed statistics (i.e., two sample hypothesis testing method) and complete the following table (Note: Format follows Kozak outline): Table 3: Two Sample Hypothesis Test Analysis Research Question:

Two Sample Hypothesis Test that Will Be Used and Rationale for Using It:

State the Random Variable and Parameters in Words:

State Null and Alternative Hypotheses and Level of Significance:

Method Used to Analyze Data:

Find the sample statistic, test statistic, and p-value:

Conclusion Regarding Whether or Not to Reject the Null Hypothesis:

Part B: Results Write Up Confidence Interval Analysis: Two Sample Hypothesis Test Analysis: Discussion:

STAT200: Assignment #3 – Inferential Statistics Analysis and Writeup – Instructions Page 1 of 5

STAT200 Introduction to Statistics

Assignment #3: Inferential Statistics Analysis and Writeup

Purpose:

The purpose of this assignment is to develop and carry out an inferential statistics analysis plan and

write up the findings. There are two main parts to this assignment:

● Part A: Inferential Statistics Data Plan and Analysis

● Part B: Write up of Results

Part A: Prepare Data Plan, Analyze Data, and Complete Part A of the Assignment #3 Template

➢ Task 1: Select Variables. Review the variables you used for assignments #1 and #2. Select your

qualitative socioeconomic variable as your grouping variable and the two expenditure variables

from the variables used in these previous assignments. Fill in Table 1: Variables Selected for

Analysis with name, description, and type of variable (i.e., qualitative or quantitative).

➢ Task 2: Select and Run a One Sample Confidence Interval Analysis. For one expenditure

variable, select and run the appropriate method for estimating a parameter, based on a statistic

(i.e., confidence interval method). Complete Table 2: Confidence Interval Information and

Results, which follows the format outlined by Kozak and the course’s problem-solving approach,

including:

○ Random variable stated in words

○ Confidence interval method, including rationale and assumptions

○ Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.).

○ Results obtained

○ Interpretation

➢ Task 3: Select Two Sample Hypothesis Test. Using the second expenditure variable (with the

socioeconomic variable as the grouping variable), select and run the appropriate method for

making decisions about two parameters relative to observed statistics (i.e., two sample

STAT200: Assignment #3 – Inferential Statistics Analysis and Writeup – Instructions Page 2 of 5

hypothesis test method). Complete Table 3: Two Sample Hypothesis Test Analysis, which

follows the format outlined by Kozak and the course’s problem-solving approach, including:

○ Hypotheses (null and alternative).

○ Two sample hypothesis testing method, including rationale and assumptions

○ Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.).

○ Results obtained.

○ Interpretation (i.e., Reject the null hypothesis OR Fail to reject null hypothesis)

Step 2: Write Up Results and Complete Part B of the Assignment #3 Template

For this 1 to 2 page section, refer to the inferential statistics data plan and computations done for Part A

of this assignment. Address the following area:

➢ Introduction. Based on the scenario you submitted for the second assignment, provide a brief

description of scenario, including the variables that were used in this analysis. Include a

completed “Table 1: Variables Selected for Analysis to show the variables you selected for

analysis.

➢ Data Set Description and Method Used for Analysis. Briefly describe the data set, using

information provided with data set and write up in Assignment #2. Also describe what

method(s) (i.e., free web applets, Excel, TI Calculator) you used to analyze the data.

➢ Results. In this section, you will report the results of your inferential statistics data analysis.

For the Confidence Interval Analysis, write one paragraph that includes:

o Statistical method used, including rationale and whether assumptions were met.

o Statistical Interpretation. The statistical interpretation is that the confidence interval

has a probability (1−α, where α is the complement of the confidence level) of containing

the population parameter.

o Real World Interpretation. Explain the results in everyday language. Recommend

reviewing the text and information from the classroom for examples on how to report

results in everyday language.

STAT200: Assignment #3 – Inferential Statistics Analysis and Writeup – Instructions Page 3 of 5

For the Two Sample Hypothesis Test Analysis, write one paragraph that includes:

o Hypotheses that were assessed. See below table for example format:

Examples Format for Writing Null and Alternative Hypotheses, in Words

Null Hypothesis: There is no significant difference in [insert variable name] between [insert group 1 name] and [insert group 2 name] households.

Alternative Hypothesis:

➢ For two-tailed (≠): There is a significant difference in [insert variable name] between [insert group 1 name] and [insert group 2 name] households.

➢ For one-tailed (>): [Insert group 1 name] has statistically significantly higher [insert variable name] than [insert group 2 name].

➢ For one-tailed (64

Did not complete HS

5416

5030

5777

7606

13746

37575

Competed HS

16431

1855

9435

8795

7558

44074

College 1-3 years

8555

5576

3124

2524

2503

22282

College 4 or more years

9771

7596

3904

3109

2483

26863

Column Total

40173

20057

22240

22034

26290

130794

11.2.4

In Africa in 2011, the number of deaths of a female from cardiovascular disease for different age groups are in table #11.2.6 (“Global health observatory,” 2013). In addition, the proportion of deaths of females from all causes for the same age groups are also in table #11.2.6. Do the data show that the death from cardiovascular disease are in the same proportion as all deaths for the different age groups? Test at the 5% level.

Table #11.2.6: Deaths of Females for Different Age Groups

Age

5-14

15-29

30-49

50-69

Total

Cardiovascular Frequency

8

16

56

433

513

All Cause Proportion

0.10

0.12

0.26

0.52

11.2.6

A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in table #11.2.8 (“Car preferences,” 2013).

Table #11.2.8: Reason for Choosing a Car

Safety

Reliability

Cost

Performance

Comfort

Looks

84

62

46

34

47

27

Do the data show that the frequencies observed substantiate the claim that the reasons for choosing a car are equally likely? Test at the 5% level.

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