Walden University Statistics Worksheet

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Walden University

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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.
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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)
Testi...


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