Question

a. **If for the test of H0: μ = μ h vs. Ha: μ
≠ μ h the null hypothesis cannot be rejected at α = .05, then it
______ be rejected at α = .10 for the test of H0: μ = μ h
vs. Ha: μ > μ h.**

**A. might B. must always C. will never**

b. **If the 80% confidence interval for μ contains
the value μ h, then the P-value for the test of H0: μ = μ h vs. Ha:
μ ≠ μ h ______ be less than .20.**

**A. might B. must always C. will never**

**c.** **If for the test of H0: μ = μ
h vs. Ha: μ ≠ μ h the null hypothesis cannot be rejected at α =
.02, then the 98% confidence interval for μ ______
contain the value μ h.**

**A. might B. must always C. will never**

Answer #1

a. We reject Ho when the p Value is less than alpha . Here we fail to reject Ho at alpha= 0.05 . That means p value is more than 0.05

But we can't say that this Ho will not be rejected at alpha= 0.1 . because p Value may be more than 0.05 but less than 0.1 . In that case Ho will be rejected.

So correct option is , it Might be rejected at alpha= 0.10

b . 80% confidence Interval contains the value of Mu means we fail to Reject the null hypothesis. Confidence level 80% means alpha level is 20% or 0.2 . That means p value should be always more than 0.2 so that the null Hypothesis is not Rejected.

Correct option is , p value will never be less than 0.2

c. Null Hypothesis can't be rejected at alpha = 0.02 level or 2% level . That means the 98% confidence interval will always contain the value of Mu .

Correct option, must always contain the value of mu .

Suppose we test H0: μ = 42 versus the alternative
Ha: μ ≠ 42. The p-value for this test is
0.03, which is less than 0.05, so the null hypothesis will be
rejected.
Suppose that after this test, we form a 95% confidence interval
for μ. Which of the following intervals is the only possible
confidence interval for these data? (Hint: use chapter 13 and the
relationship between confidence intervals and hypothesis tests)
Question 10 options:
(35, 54)
(24, 79)...

Suppose we test H0: μ = 42 versus the alternative
Ha: μ ≠ 42. The p-value for this test is
0.03, which is less than 0.05, so the null hypothesis will be
rejected.
Suppose that after this test, we form a 95% confidence interval
for μ. Which of the following intervals is the only possible
confidence interval for these data? (Hint: use chapter 13 and the
relationship between confidence intervals and hypothesis tests)
Question 10 options:
(35, 54)
(24, 79)...

n = 36 = 24.06 S = 12 H0: μ 20 Ha: μ > 20 If the test is done
at 95% confidence, the null hypothesis should
Select one:
A. not be rejected
B. be rejected
C. Not enough information is given to answer this question.
D. None of these alternatives is correct.

For the following hypothesis test, where H0:
μ ≤ 10; vs. HA: μ > 10, we reject
H0 at level of significance α and conclude that
the true mean is greater than 10, when the true mean is really 14.
Based on this information, we can state that we have:
Made a Type I error.
Made a Type II error.
Made a correct decision.
Increased the power of the test.

1. In testing a null hypothesis H0 versus an alternative Ha, H0
is ALWAYS rejected if
A. at least one sample observation falls in the non-rejection
region.
B. the test statistic value is less than the critical value.
C. p-value ≥ α where α is the level of significance. 1
D. p-value < α where α is the level of significance.
2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0,
suppose Z...

Suppose you will do five independent tests of the form H0: μ =
17 vs Ha : μ ≠ 17 all at the 5% α level. What is the probability of
committing a Type 1 error and incorrectly rejecting a true null
hypothesis with at least one of the five tests?
a. 0.01
b. 0.049
c. 0.05
d. 0.226
e. 0.7737

Find the rejection region (for the standardized test
statistic) for each
hypothesis test.
a. H0 : μ = 27vs. Ha : μ < 27@ α = 0.05.
b. H0 : μ = 52vs. Ha : μ ≠ 52@ α = 0.05.
c. H0 : μ = −105 vs. Ha : μ > −105 @ α = 0.10.
d. H0 : μ = 78.8 vs. Ha : μ ≠ 78.8 @ α = 0.10.

1.
a) For a test of
H0 : μ = μ0
vs.
H1 : μ ≠
μ0,
the value of the test statistic z obs is
-1.46. What is the p-value of the hypothesis test?
(Express your answer as a decimal rounded to three decimal
places.)
I got 0.101
b) Which of the following is a valid alternative hypothesis for
a one-sided hypothesis test about a population mean μ?
a
μ ≠ 5.4
b
μ = 3.8
c
μ <...

Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 5.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNo
Answer the next three questions using the critical value
approach.
d. Using α...

5. Consider the hypothesis test H0 : μ = 18, Ha :μ ≠ 18. A
sample of size 20 provided a sample mean of 17 and a sample
standard deviation of 4.5.
a. 3pts.Compute the test statistic.
b.3pts. Find the p-value at the 5% level of significance, and
give the conclusion.
c. 5pts.Make a 99% confidence interval for the population
mean.
d. 5pts.Suppose you have 35 observations with mean17 and S.d.
4.5. Make a 90% confidence interval for the population...

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