Week 5 Project - STAT 3001

Chi-Square

Student Name:

Instructions: Complete the project using the online version of Statdisk.

The project is worth 60 points.

Part I. Chi-Square Goodness-of-Fit Test (equal frequencies)

One week of emergency room visits was recorded and is shown in the table. Test the claim that emergency room visits occur equally throughout the week.

Day of the Week	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday
Visits to the Emergency Room	20	15	9	8	12	15	6

Instructions	Answers
Use the Chi-Square Goodness-of-Fit test to test the claim that the frequency of emergency room visits is the same for every day of the week. Use a significance level of 0.01. Paste the Statdisk results here.	Num Categories: 7 Degrees of Freedom: 6 Expected Freq: 12.14286 Test Statistic, X^2: 11.76471 Critical X^2: 16.81192 P-Value: 0.06743
What are we trying to show?
What is the p-value and what does it represent in the context of this problem?
State your conclusion. Itshould include a comparison of the p-value and the significance level and whether you reject or accept the null hypothesis.

Part II. Chi-Square Goodness of Fit Test (unequal frequencies)

In a recent report the American Ice Cream Standards Committee stated that 40% of Americans like vanilla ice cream the best, 25% of Americans like chocolate ice cream the best and 35% of Americans liked something other than those the best.

You collect a sample of data by asking several people what flavor of ice cream they like the best.The results are in the following table.

Vanilla	Chocolate	Other
165	111	224

Using an alpha of 0.05, test the claim that the observed and expected values for each of the flavors is the same.

Instructions	Answers
Complete the table as necessary. [Hint: You will need to compute the expected frequencies based on the given percentages. List counts in the table.	OBSERVED	165	111	224
EXPECTED
Use the Chi-Square Goodness-of-Fit test for Unequal frequencies to see if there is a difference between the observed frequencies and the expected frequencies. Use a significance level of 0.05. Paste results here.
State the null and alternative hypotheses.
What conclusion would you reach, given the result of your Goodness-of-Fithypothesis test. The conclusion statement should include a comparison of the p-value and alpha, and whether you reject or accept the null hypothesis.

Part III. Chi-Square Test of Independence

An ice cream shop conducted a survey to see if there was a relationship between gender and ice cream flavor preference. Perform a Chi-Square Test of Independence to determine whether there is a dependence between gender and preference for ice cream flavor.

	Vanilla	Chocolate	Other
Men	100	120	60
Women	350	200	90

Instructions	Answers
By looking at the numbers in the table, what is your best guess about whether gender is related to ice cream flavor preference?
Compute a Chi-Square Test of Independence on this data using a 0.05 level of significance. Paste your results here.
What are the null and alternative hypotheses?
What is the p-value? What does this represent?
State your conclusion. The conclusion statement has a prescribed format: it should include a comparison of the p-value and alpha, whether you reject or support the null hypothesis.

Submit the final draft of your Word file by going to Week 5, Project, and follow the directions. Please use the naming convention "WK5Proj + last name + first initial " as the Submission Title.