$FL2@(#) IBM SPSS STATISTICS DATA FILE 64-bit MS Windows 20.0.0 ##########################Y@18 Jun 1606:06:05 ###########################UCQIQ ####UCQ intelligence scores ########################ACADEMIC ###Academic Achievement Percentile ############################################################## ################################ ##################$###UCQIQ=UCQIQ ACADEMIC=AcademicAchieve############################################/###UCQIQ: $@Role('0' )/AcademicAchieve:$@Role('0' )############ ###windows-1252######### NURS 609 Applied Statistics for Nursing Research Data Analysis 3, Part 1 Hypothesis Testing Open SPSS Datafile - UCQIQAcademicAchievement.sav D2L > Content > Week 4 > 4.1 UCQIQAcademicAchievement.sav This is a small sample of UCQ students' IQ scores and their academic achievement reported as a percentile. UCQIQ 110 112 118 101 106 102 99 95 108 115 Academic Achievement 98 95 99 84 87 88 83 81 96 99 Question 1: Test the hypothesis that students at UCQ have a significantly higher IQ than the population 1. Determine Hypothesis Ha: the Average IQ of a sample of UCQ students is significantly higher than a larger sample of students from other higher education institutions in Qatar. The larger sample mean is known to be 100. 2. Level of Significance P .05 3. Propose an Appropriate Test One sample t-test (because we have a mean to test against). A t-test is a simple procedure that let's us compare means for two groups to see if the difference between them is statistically significant or not. 4. Check Assumptions of the Test The assumptions of a t-test (and Z-test) are: - interval or ratio level of measurement - random sampling from the population - normal distribution in the population 5. Calculate one-sample t-test This compares the sample mean with a known test mean. Analyse Compare Means One Sample t test (mean test value is 100) One-Sample Statistics N Mean UCQ intelligence scores 10 106.60 Std. Deviation 7.367 One-Sample Test Std. Error Mean 2.330 UCQ intelligence scores t df 2.833 9 Test Value = 100 Sig. (2-tailed) Mean Difference .020 6.600 95% Confidence Interval of the Difference Lower Upper 1.33 11.87 6. Find Critical Values 7. Compare Results and Make Conclusions Question 2: What, if any, relationship is there between UCQ students' IQ and academic achievement? (NOTE: We are jumping ahead a little bit here, but I think you can handle it.) 8. Create a Scattergram Produce a scattergram to show the association between UCQIQ and academic achievement. Graphlegacyscattergramsimple scatter 9. Calculate Pearson Correlation Calculate the Pearson Correlation for these two variables AnalyseCorrelateBivariatePearson Correlations UCQ intelligence scores Pearson Correlation Sig. (2-tailed) N Pearson Correlation Academic Achievement Sig. (2-tailed) Percentile N **. Correlation is significant at the 0.01 level (2-tailed). UCQ intelligence scores 10. Define the Relationships Between Variables What does the inter-correlation matrix show? Describe the level of association between the two variables. Academic Achievement Percentile 1 .939** .000 10 10 ** .939 1 .000 10 10