Consider a one-sample t-test regarding the population mean time to complete a task with a one-sided alternative hypothesis of Ha: μ < 10 minutes. A random sample of times to complete the task will be obtained as part of a study. Which of the following values of the sample mean times would result in a p-value of more than 0.5?
- 7 minutes
- 9 minutes
- 11 minutes
- 13 minutes
I chose 3 and 4 since their values will skew the data towards rejecting the alternative hypothesis. Is this correct? Also, would it be correct to say that "the p-value is the probability that the null hypothesis is true?" (as to interpret it in some vague sense?)