1. ## hypothesis test questions

Hi
These are some of questions from previous exam and can't find answers for it..

Q1.A significance test gives a p-value of 0.04 when testing a null hypothesis. From this we would:
a.conclude that there is a probability of 0.04 that the null hypothesis is not true;
b.reject the hypothesis at the 0.05 level;
c.conclude that there is a probability of 0.04 that the null hypothesis is true;
d.reject the hypothesis at the 0.01 level;

Q2. During an angiogram, heart problems can be examined via a small tube (catheter) threaded into the heart from a vein in the patient's leg.
It is important that the company who manufactures the catheter maintain a diameter of 2.00mm.
Each day, quality control personnel make several measurements to test H0: μ=2.00 vs H1: μ≠2.00 at a significance level of 0.05.
If they discover a problem, they will automatically stop the manufacturing process until it is corrected.
Based on the information provided, which one of the following statements is incorrect?

a.The quality control personnel will correctly stop the manufacturing process on approximately 95% of occasions when catheters of incorrect diameter are being produced.
b.A type 2 error in this scenario occurs if the quality control personnel do not stop the process when the mean diameter of the catheters being produced made the catheters useless for threading into a heart vein
c.The quality control personnel will incorrectly stop the manufacturing process on approximately 5% of occasions when catheters of the right diameter are being produced.
d.A type 1 error in this scenario occurs when the quality control personnel stop the manufacturing process when, in fact, the mean diameter of the catheters is 2.00 mm.

Q3. Of the following statements about p-values, which one is FALSE?

a.The p-value is the probability of observing an effect as extreme, or even more extreme, as the one observed, assuming that the null hypothesis is true.
b.A small p-value is evidence against the null hypothesis.
c.The smaller the p-value, the more statistically significant the result.
d.A large p-value does not prove that the null hypothesis is true.
e.The p-value is the probability of a type I error.

Q4. An assumption on which the t-test of μ = μ0 is based, is that:

a.the significance level is 0.05
b.the power for μ ≠ μ0 is at least 0.95
c.the population standard deviation is known
d.the data variable is normally distributed
e.the sample size is greater than or equal to 30

Q5.A significance test was performed to test H0: μ = 2 vs H1: μ ≠ 2 based on a sample of 16 observations.
The test statistic is t = −2.125. The p-value for this test is in the interval:

a.(0.1, 1)
b.(0.05, 0.1)
c.(0.025, 0.05)
d.(0.01, 0.025)
e.(0, 0.01)

Q1 is d
Q4 is d
Q5 is c