T-test and Correlation - Statistics Project Example

T-test and Correlation This paper will analyze difference in the percentage usage of prepositions in writing between native and non native speaker ofEnglish in their texts. For this, 10 texts written by a native speaker of English and another 10 texts written by a non-native speaker of English (Arab writer) in the usage (percentage) of prepositions were collected (table 1). The research hypothesis is “Is there a difference in the use of prepositions in writing between native and non native speaker of English?

” The null and alternate hypotheses are H0:µnative = µnon-native H1:µnative ≠ µnon-native The selected level of significance, α is 0.05. The test selected is two-tailed t-test for independent samples (Independent Samples Test) because alternate hypothesis involves not equal to sign (≠). The average percentage use of prepositions in writing for non-native speaker of English in their text is 38.50 (SD = 6.35). The average percentage use of prepositions in writing for native speaker of English in their text is 38.

30 (SD = 4.64). From figure 1, it appears that there is no difference in the use of prepositions in writing between native and non-native speaker of English. The Levene’s test for equality of variance is not significant, F(1, 18) = 1.90, p = .19 (>.05). Therefore, equal variance can be assumed for t-test. The null hypothesis H0 is retained. Therefore, there is no difference in the use of prepositions in writing between native and non native speaker of English, t(18) = 0.08, p = .94 (>.05). Both data set (data set 1 and data set 2) shows no correlation, r(8) = .06, p = .87 (>.05). In conclusion, data suggest that there is no difference in the usage of prepositions in writing between native and non native speaker of English.

Appendix Table 1 Percentage use of prepositions in writing Native speaker of English (Data set 1) Non-native speaker of English (Data set 2) 34 32 43 42 41 43 35 38 36 45 39 31 39 28 38 37 31 46 47 43 Figure 1: Mean percentage use of prepositions for native and non-native speaker in writing Table 2 Group Statistics Native speaker of English N Mean Std. Deviation Std. Error Mean Use of prepositions in writing (%) No 10 38.50 6.346 2.007 Yes 10 38.30 4.644 1.469 Table 3 Independent Samples Test Levenes Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) Mean Difference Std.

Error Difference 95% Confidence Interval of the Difference Lower Upper Use of prepositions in writing (%) Equal variances assumed 1.903 .185 .080 18 .937 .200 2.487 -5.025 5.425 Equal variances not assumed .080 16.491 .937 .200 2.487 -5.059 5.459 Table 4 Correlations Data Set 1 Data Set 2 Data Set 1 Pearson Correlation 1 .058 Sig. (2-tailed) .873 N 10 10 Data Set 2 Pearson Correlation .058 1 Sig. (2-tailed) .873 N 10 10