BASED ON THE SPSS OUTPUT please answer the following: 1.) Given the total sample
ID: 3051468 • Letter: B
Question
BASED ON THE SPSS OUTPUT please answer the following:
1.) Given the total sample size, we should expect power to be high. (T/F)
2.) The results of Levene’s test suggest that the variances are equal. (T/F)
3.) The p-value for the t statistic is less than .05, which means we will fail to reject the null hypothesis that the means are equal in the population. (T/F)
4.) The 95% confidence interval does not contain zero, which suggests we should reject the null hypothesis that the population means are equal. (T/F)
Group Statistics Std. Error Mean Mean Std. Deviation 56626 62860 Gender Openness Male 2269 4.0899 01189 Female 4412 3.8883 00946 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error Difference Sig df Sig. (2-tailed) Difference Lower Upper Openness Equal variances 30.177 000 12.829 6679 20156 01571 17076 23236 assumed Equal variances not assumed 20156 13.265 5017.435 01519 23135 Research Question: Do men and women differ in their average openness to experience?Explanation / Answer
1.) Given the total sample size, we should expect power to be high.
Asnwer : Yes as sample size is pretty high here that will reduce the standard error so we could expect power to be high here. So the answer is true here.
2. The results of Levene’s test suggest that the variances are equal.
Answer : Here significance level (p- value) of levene's test is 0.000 so here We will not equa variances not assumed. So, the answer is false as the test suggest that the vaiance are equal.
3. The p-value for the t statistic is less than .05, which means we will fail to reject the null hypothesis that the means are equal in the population.
Answer : The answer is false, as the p - value is less than 0.05 so will reject the null hypothesis and we say that the means are equal in the population.
4. The 95% confidence interval does not contain zero, which suggests we should reject the null hypothesis that the population means are equal.
Answer : Here as 95% confidence interval doesnot contain zero, we will reject the null hypothesis and that means the population means are not equal so the statement is false.
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