Please help me with these questions that I am stuck on

We take a random sample of n individuals and measure the value of some variable X. We conduct a hypothesis test of H0: u = 100 vs. Ha: u > 100 at the 5% level of signicance. We calculate a sample mean of JC- = 105 and we reject the null hypothesis. Using the same data (55 still equals 105), assess if each of the statements in Questions 10 to 12 must be true or is not necessarily true. Question 10 A test of H0: u = 100 vs. Ha: u > 100 at the 1% level of signicance would also result in the rejection of HO. 0 Must be true 0 Not necessarily true Question 11 A test of H0: u = 101 vs. Ha: p > 101 at the 5% level of signicance would also result in the rejection of HO. 0 Not necessarily true 0 Must be true Question 12 A test of H0: u = 100 vs. Ha: u i 100 at the 5% level of signicance would also result in the rejection of HO. 0 Not necessarily true 0 Must be true \fQuestion 5 We conduct a hypothesis test of H0: p. = 1 vs. Ha: p. i 1 to determine whether the true mean time taken to complete a tax return differs from 1 hour. A random sample of 100 taxpayers is selected and the time it takes each person to le their tax return is recorded. The sample mean time is calculated to be 2 hours. The P-value of the test is calculated to be 0.001. What is the correct interpretation of this P-value? Q If we took repeated samples of 100 tax returns and conducted the test in a similar manner, 0.1% of all samples would have means at least as high as 2 hours. 0 The probability that the true mean time differs from 1 hour is 0.001. Q If the true mean time was 1 hour, the probability of observing a sample mean at least as extreme as 2 hours would be 0.001. Q If the true mean time was 1 hour, the probability of rejecting the null hypothesis would be 0.001 0 Given that the sample mean time is 2 hours, the probability that the true mean time differs from 1 hour is 0.001