If my p-value = .322 and my significant level is .05 , then; I cannot make a decision until my sample size is given. is the correct answer?
You can make a decision from the information given.
Yes, that is the correct answer. In hypothesis testing, the p-value is compared with the significance level (also known as the alpha level) to make a decision about the null hypothesis.
The null hypothesis is typically assumed to be true until there is enough evidence to reject it. The significance level, which is usually set at 0.05 (or 5%), represents the maximum threshold for the probability of observing the data, assuming the null hypothesis is true.
If the p-value is less than the significance level (p-value < 0.05), then the evidence suggests that the observed result is statistically significant, and we reject the null hypothesis in favor of the alternative hypothesis. On the other hand, if the p-value is greater than the significance level (p-value > 0.05), we fail to reject the null hypothesis because there is not enough evidence to suggest otherwise.
However, without knowing the sample size or the test statistic used, it is not possible to determine whether the p-value is less than or greater than 0.05. Therefore, a decision cannot be made until the sample size and test statistic are provided.