5. A professor theorizes that science students perform differently on multiple choice tests than on essay...

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5. A professor theorizes that science students performdifferently on multiple choice tests than on essay tests. Theprofessor recruited 6 science students and had them take both typesof test. Their test scores were recorded. The data are given in thefollowing table. Based on the data, can you support the professorâ€™stheory? Perform an appropriate test at Î± = 0.01.
Student
1
2
3
4
5
6
Multiple choice
8
7
9
4
6
5
Essay
5
8
7
3
9
4
Which hypothesis test should be used?
ï¿ one-sample Z-test ï¿ one-sample t-test ï¿independent-samples t-test ï¿ paired-samplest-test
Step 1. State the hypotheses (both in words and insymbols)
H₀:
H₁:
Step 2: Î± = 0.01
Step 3: Use SAS to calculate a test statistic (write a SAS codefor reading in the data set and analyzing it, and upload your SAScode on the Cyber campus website). Copy and paste the relevant SASoutput. Report the obtained test statistic and calculate effectsize (Cohenâ€™s d).
Step 4: Make a decision.
Step 5: State a conclusion (You should include the teststatistic, p-value, effect size, and a verbal interpretation of theresult).

Answer & Explanation Solved by verified expert

3.6 Ratings (530 Votes)

Solution Paired samples ttest State the hypotheses The first step is to state the null hypothesis and an alternative hypothesis Null hypothesis ud 0 Alternative hypothesis ud 0 Note that these hypotheses constitute a twotailed test The null hypothesis will be rejected if the difference between sample means is too big or if See Answer

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