Hello, can I get helpful selecting the correct options as well as getting their explanations. Thank you.

#1: Which of the following is/are true about the p-value? More than one answer choice can be selected.

a. The p-value is a frequentist probability

b. The p-value can change if the general population size gets bigger or smaller (e.g., In a general population of coffee drinkers, 10/100 individuals are coffee drinkers versus 100/1000 people are coffee drinkers)

c. The p-value is low if the event is unlikely to happen if the null hypothesis is true.

d. The p-value is a conditionalprobability

e. The p-value can change if the individuals in the general population change (e.g., In a general population of coffee drinkers, 10/100 individuals are coffee drinkers versus 300/1000 people are coffee drinkers)

#2: Suppose you simulated your null hypothesis 200 times using the bootstrap approach and computed a two-tailed P-value of zero. Based on such a P-value, what could you conclude?

a. None of the above

b. The true probability of observing results as or more extreme than the observed result is zero

c. The true probability of observing results less extreme than the observed result is 1

d. The true probability of observing results as or more extreme than the observed result is less than 0.005