# statistics power point presentation

ST3004 COMPETENCY ASSESSMENT TEMPLATE

The following table summarizes the different hypothesis test distributions and when each is used. Use this table when completing this

Assessment.

Test

Z Test

t Test

Chi Square

ANOVA

Which Statistical Test Do I Use?

Requirement

Normal distribution

Population mean known

Population standard deviation known

Sample size is greater than 30 if not normal

Quantitative variables

Normal distribution

Population mean known

Population standard deviation unknown

Sample size is a) nearly normal with sample less than

15; b) at least 15 with no outliers; c) greater than 30

even if skewed or not normal

Quantitative variables

Variables are qualitative

Testing if observed results agree with claimed

(Goodness of Fit Unequal Frequencies)

Testing if outcomes occur with the same frequency

(Goodness of Fit Equal Frequencies)

Testing if outcomes are independent of treatment

(Goodness of Fit Test of Independence)

Used to test the relationship between variables

Data in two-way table of counts of outcomes

Compares whether several populations have the same

mean

ST3004 COMPETENCY ASSESSMENT TEMPLATE

Scenario 1: Presidential Ratings

College students are asked to rate two presidential candidates, Mr. Smith and Ms. Jones on how trustworthy their faces appear. The

scale was zero to seven with zero being not at all trustworthy and seven being extremely trustworthy. Below are 29 ratings. Is there

significant evidence at the 5% level that the mean rating is greater than 3.5 (a neutral rating)? Assume that this is a simple random

sample of all U.S. college students.

2.6 3.2 4.7 3.3 3.4 3.6 3.7 3.9 3.9 4.1

4.2 4.9 5.7 4.2 3.9 3.2 4.1 5.0 5.0 4.6

4.6 3.9 3.9 2.8 2.6 3.0 3.3 3.7 5.3

Which type of test would you

use, and why?

State the null and alternative

hypothesis.

Use Statdisk to solve the

Write a conclusion

problem describing the steps statement.

that you used (options in

Statdisk) and paste your

results here.

ST3004 COMPETENCY ASSESSMENT TEMPLATE

Scenario 2: Weekly Births

Are births evenly distributed across the days of the week? A sample of 700 birth days was collected with the following results.

Day

Births

Sun.

84

Mon.

110

Tues.

124

Wed.

104

Thur.

94

Fri.

112

Sat.

72

Test the hypothesis that the births are equally distributed across the days of the week using an alpha of 0.05.

Which type of test would you

use, and why?

State the null and alternative

hypothesis.

Use Statdisk to solve the

Write a conclusion

problem describing the steps statement.

that you used (options in

Statdisk) and paste your

results here.

ST3004 COMPETENCY ASSESSMENT TEMPLATE

Scenario 3: Nursing Job Satisfaction and Retention

A nursing magazine reported the results of a survey of more than 1800 nurses from across the country on job satisfaction and

retention. Nurses from magnet hospitals (an award given by the American Nurses Credentialing Center to hospitals that satisfy a

certain level of criteria designed to measure the strength and quality of nursing) describe staffing as follows:

Staffing Situation

Short of help—patient care has suffered

Short of help—patient care hasn’t suffered

Adequate

More than adequate

Excellent

A survey of 500 nurses from non-magnet hospitals gave the following results.

Staffing Situation

Short of help—patient care has suffered

Short of help—patient care hasn’t suffered

Adequate

More than adequate

Excellent

Percent

12

32

38

12

6

Number

165

140

125

50

20

Determine if the data indicates that the nurses from the non-magnet hospitals have a different distribution of opinions.

Use α = 0.05.

Which type of test would you

use, and why?

State the null and alternative

hypothesis.

Use Statdisk to solve the

Write a conclusion

problem describing the steps statement.

that you used (options in

Statdisk) and paste your

results below.

ST3004 COMPETENCY ASSESSMENT TEMPLATE

Scenario 4: Drug Effectiveness

To test the effectiveness of a new drug, a researcher gives one group of individuals the new drug and another group a placebo. The

results of the study are shown below. At the 0.01 level of significance, can the researcher conclude that the drug is effective? In other

words, are the results independent of the method of treatment?

Medication

Drug

Placebo

Which type of test would you

use, and why?

Effective

32

12

State the null and alternative

hypothesis.

Not Effective

9

18

Use Statdisk to solve the

Write a conclusion

problem describing the steps statement.

that you used (options in

Statdisk) and paste your

results here.

ST3004 COMPETENCY ASSESSMENT TEMPLATE

Scenario 5: Sodium Content

The amount of sodium (in milligrams) in one serving for a random sample of three different foods is listed in the table below. At the

0.10 level of significance, is there sufficient evidence to conclude that a difference in mean sodium amounts exists among the

condiments, cereals, and desserts?

Condiments

270

130

230

180

80

70

200

Which type of test would you

use, and why?

Cereal

260

220

290

290

200

320

140

State the null and alternative

hypothesis.

Desserts

100

180

250

250

300

360

300

Use Statdisk to solve the

Write a conclusion

problem describing the steps statement.

that you used (options in

Statdisk) and paste your

results here.

ST3004 Instruction

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