Test of Difference

A researcher was interested in whether employers assess candidates differently when looking at a written statement as compared to a verbal statement. To do this they randomly assigned participants to either make a written or verbal statement to apply for a job.

A panel of employers then rated the intellect and overall impression of each candidate by answering ten Questions for each of these variables on a balanced 0-9 point. A mean average of the questions was taken to give an overall score for each candidate on intellect and impression. A higher mean score meant a higher rating of intellect or impression. In addition, a single 0-9 rating of how likely they would be to hire them was also given where a higher score meant they would be more likely to employ.

You must assess whether the two methods of making a statement did yield significantly different results for only one of the measures. So, EITHER intellect OR impression OR likelihood to employ. Your choice.

ConditionIntellectImpressionHire
Verbal6.0007.0006.000
Verbal5.6674.6674.000
Verbal6.0008.3335.000
Written3.3334.6674.000
Written1.0001.3331.000
Written2.0002.0001.000
Verbal3.6672.6671.000
Written1.6671.6672.000
Verbal5.0004.3333.000
Written3.6672.6672.000
Written5.6677.3334.000
Verbal9.0008.6678.000
Verbal6.0005.6674.000
Written3.6674.3332.000
Written0.6670.3330.000
Verbal9.0006.6677.000
Verbal2.3332.3331.000
Verbal4.6673.0003.000
Written4.6674.0003.000
Written3.6674.6673.000
Written7.0007.3337.000
Written1.6670.6672.000
Written6.3337.0005.000
Verbal5.6676.6670.000
Verbal7.6676.6677.000
Verbal6.6677.6675.000
Written3.6675.3331.000
Verbal4.6676.0004.000
Verbal5.6677.3337.000
Verbal3.3334.0004.000
Written3.3335.3332.000
Written2.3333.3331.000
Verbal6.0004.6675.000
Verbal5.0007.3338.000
Written4.6676.0005.000
Verbal6.0007.6677.000
Written6.6675.3337.000
Verbal5.0008.3335.000
Verbal5.3335.6675.000

Write your hypothesis here

Write the null hypothesis here

What is the level of measurement?

State and explain the level of measurement here

Is your data normally distributed?

Explain how you have assessed this and copy and paste any output from jamovi/SPSS used to inform your decision below

Do the two groups show homogeneity of variance?

Show how this was assessed and provide any copy and paste any output from jamovi/SPSS which is relevant.

State which test of difference (from those listed below) you are using and why you have selected it.

  • Student’s t-test
  • Welch’s t-test
  • Mann Whitney U

Copy and paste the output for your test of difference from jamovi or SPSS here

Write a brief paragraph explaining what the results of the test show and report the test in APA format below.

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