# Project #29337 - Statistics Project (Part II)

 PROJECT

Design, execute, and write up a sample survey on a topic of interest to you. Design your questionnaire to have at least 10 questions. Include at least 50 people in your survey. Ideally, you would like to select a random sample from a pre-defined population of interest. However, this is not expected. The main aim of the project is to apply the statistical tools and methods that you learn throughout the semseter on data of interest to you. You will find that there are many limitations to your project - but as long as you discuss these limitations, you won't lose points.

• Include questions that result in both quantitative data (Example: age, income, blood pressure, temperature) and categorical data, both nominal (Example: Gender(Female/Male), Race(White/Black/Others)) and ordinal (Example: strongly agree, agree, neutral, disagree, strongly disagre).
• Include at least two questions that result in quantitative variables that you feel may be related. (Example: time studying and homework score)
• Include at least two questions that result in categorical variables that can be displayed in a two-way table (Example: Male/Female - Yes/No).
• Include at least two questions that result in quantitative variables for making mean comparisons between groups (Example: Compare mean length of time studying per week for Males and Females)

PART I (8% of overall grade) - Data Collection and Descriptive Analysis (Due April 8th @ 6.10pm)

1. Purpose of the survey.
2. Summary of findings and conclusions.
3. Description of how the data was collected.
4. Detailed description of your findings plus summary statistics (mean, standard deviation) and graphical presentations (histograms/bar graphs) for the 10 questions of interest. Discuss the core quantitative variable questions in terms of central tendency and spread. For the categorical variable questions resulting in two-way tables, discuss the differences in the response variable (in terms of proportions) for the categories of the explanatory variable.
5. Limitations of survey and data collected (for example: convenience sample, nonresponse, problems with wording of questions, small sample size, missing values, outliers, non-normality of data)

PART II (7% of overall grade)- Statistical Analysis (Due May 1st @ 6.10pm)

Complete each of the following analysis plus one additional analysis (1, 2 or 3) - FOUR analysis in total:

1. Complete a linear regression analysis looking at the relationship between two quantitative variables. Clearly state what the slope of the regression line means. Create a graphical presentation of the data with the linear regression line included. Complete a hypothesis test to test whether the true population slope is statistically significantly different from zero.Note: Here is a link to how to get the slope and standard error of the slope for the regression line in Excel.
2. Complete a two-independent samples hypothesis test for the comparison of means between two groups (Example: Male and Female). Construct a 95% confidence interval for the true population mean difference, clearly explaining what the interval means.
3. Complete a hypothesis test for independence or homogeneity in a two-way table (Ex: Male/Female - Yes/No).

Discuss the validity of the statistical analysis you are using in terms of the assumptions made for using the particular statistical test: linear regression, two-sample hypothesis test and hypothesis tests for independence or homogeneity in a two-way table.

For each of your hypothesis tests, use a 5% alpha-level of significance. Clearly follow the steps for making a statistical decision explaining what the p-value means. State your conclusion in terms of the original question of interestWhat type of error (type I or Type II) might you have made in your conclusion? Discuss the consequences of making each type of error.

 Subject Mathematics Due By (Pacific Time) 05/04/2014 08:00 pm
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