I am analysing data from questionnaires. I have 344 valid responses. When I run the spearman's rho correlation test to see if there's any correlation between students' home province and their attitudes to a number of other criteria I get low coefficient values (mostly positive but some negative) but high p-values. The coefficient values and their corresponding p-values are:
0.037/0.496, 0.014/0.795, -0.049/0.363, 0.03/0.574, 0.029/0.597, -0.026/0.636, 0.104/0.053,
I think that in most of these cases the coefficient values mean that the correlation is slightly positive or negative (depending) and the high p-values mean that there is strong evidence to support the null hypothesis. Is it accurate of me to argue that while the correlation coefficient values are low they could be seen as significant as there is a large number of responses (344). Would that be a correct understanding of this data?