1.What is the p value (“significance level”)? What does this p value mean?
2.How does the n (sample size) of this sample affect the r and p values?
3.Is there a relationship between assertiveness and whether one holds anger “in”?
Descriptive Statistics
Mean Std. Deviation N
rath1 3.26 .989 65
axout 2.1071 .42766 63
Correlations
rath1 axout
rath1 Pearson Correlation .312 1
Sig. (2-tailed) .013
N 65 63
axout Pearson Correlation .312 1
Sig. (2-tailed) .013
N 63 63
*. Correlation is significant at the 0.05 level (2-tailed).
1. P = .05 means the the probability of alpha error (rejecting the null hypothesis when it is really true) is 5 times out of 100. Whatever significance level you use is a cutting point for accepting or rejecting your null hypothesis.
2. If there is a significant relationship, larger n's will make it more likely that they will be found.
3. Haven't checked calculations, but from your data, it seems correct.
1. The p value, also known as the significance level, is a statistical measure that helps determine the strength of evidence against the null hypothesis. In simple terms, it tells us the probability of observing the data or more extreme data if the null hypothesis is true. If the p value is below a certain threshold (usually 0.05), it is considered statistically significant, indicating that there is evidence to reject the null hypothesis and conclude that there is a relationship between the variables being tested.
2. The sample size (n) can affect the r (Pearson correlation coefficient) and p values. Generally, with larger sample sizes, the estimates of the correlation coefficient tend to be more precise and reliable. When the sample size is small, random variation can have a larger impact on the correlation coefficient, leading to less reliable estimates. On the other hand, as the sample size increases, the p value becomes smaller, increasing the likelihood of observing a significant relationship if one truly exists. Therefore, larger sample sizes often result in smaller p values.
3. The given information provides the correlation coefficients (r) and p values for the variables "rath1" (which presumably represents assertiveness) and "axout" (which presumably represents holding anger "in"). The correlation coefficient between "rath1" and "axout" is 0.312, and the p value associated with this correlation is 0.013. This indicates that there is a significant positive relationship between assertiveness and holding anger "in" because the p value is less than the conventional threshold of 0.05.