hypothesis

[ch5112]

Thanks for you help...can you help me with other 5 questions too??

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;

For Q1, i found, (c) and (d) is false...but not sure what is exact answer


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.

For Q2. I found answer is (a)


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.

For Q3, I found (b),(c) are correct...and not sure which one is really false statement


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

For Q4, the answer should be (d)

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)

found that, obviously, answer is not: (c) and (d)....then which one is the right answer?
calculatd and got answer..which is (a). Is this correct??

[Dason]

Hi! We are glad that you posted here! This looks like a homework question though. Our homework help policy can be found here. We mainly just want to see what you have tried so far and that you have put some effort into the problem. I would also suggest checking out this thread for some guidelines on smart posting behavior that can help you get answers that are better much more quickly.

[ch5112]

Hi
I self studied..and figured out some answers..but not really sure with others..can you help?