Question

A test of H_{0}: p = 0.6 versus H_{a}: p >
0.6 has the test statistic z = 2.27.

**Part A:** What conclusion can you draw at the 5%
significance level? At the 1% significance level? (6 points)

**Part B:** If the alternative hypothesis is
H_{a}: p ≠ 0.6, what conclusion can you draw at the 5%
significance level? At the 1% significance level? (4 points) (10
points)

Answer #1

A test of H0: p = 0.5 versus Ha: p >
0.5 has the test statistic z = 1.15.
Part A: What conclusion can you draw at the 5%
significance level? At the 1% significance level? (6 points)
Part B: If the alternative hypothesis is
Ha: p ≠ 0.5, what conclusion can you draw at the 5%
significance level? At the 1% significance level?

With H0: p = 0.4, Ha: p < 0.4 , the test statistic is z = –
1.68. Using a 0.05 significance level, the P-value and the
conclusion about null hypothesis are:
ِA) 0.0465; reject H0
B) 0.093; fail to reject H0
C) 0.9535; fail to reject H0
D) 0.0465; fail to reject H0
what is the correct answer?

Determine the test statistic and p-value for H0: p =
0.2 versus Ha: p ≠ 0.2 when n = 100 and the sample
proportion is 0.26.
Question 9 options:
A. Z = 1.46; p-value = .144
B. Z = 2.65; p-value = .008
C, Z = 0.98; p-value = .327
D. Z = 1.5; p-value = .134

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...

We want to test H0 : µ ≤ 120 versus Ha : µ > 120 . We know
that n = 324, x = 121.100 and, σ = 9. We want to test H0 at the .05
level of significance. For this problem, round your answers to 3
digits after the decimal point.
1. What is the value of the test statistic?
2. What is the critical value for this test?
3. Using the critical value, do we reject or...

1. A test of the null hypothesis H0:
μ = μ0 gives test statistic z
= 0.26. (Round your answers to four decimal places.
(a) What is the P-value if the alternative is
Ha: μ >
μ0?
(b)What is the P-value if the alternative is
Ha: μ <
μ0?
(c)What is the P-value if the alternative is
Ha: μ ≠
μ0?
2. A test of the null hypothesis H0:
μ = μ0 gives test statistic z
= −1.65.
(a) What...

In a test of the hypothesis H0: p = 0.8 against
Ha: p > 0.8, the power of the test when p = 0.9 is
greatest for which of the following? (4 points)
n = 70, α = 0.10
n = 75, α = 0.10
n = 70, α = 0.05
n = 75, α = 0.05
There is not enough information given to draw a conclusion.

6. A. Find the critical values: (5 pts) A.1) α = .025; Ha: P ≠
0.6 A.2) α = .02; Ha: P < 0.8 A.3) α = .10: Ha: P > .5 B.
Find the P – values (5 pts) B.1) With Ha: p < 0.777, the test
statistic is z = -2.45 B.2) With Ha: p > 0.25, the test
statistic is z = 2.40 B.3) With Ha: p ≠ 0.707, the test statistic
is z = 2.15

Question 1
The p-value of a test H0: μ= 20 against the
alternative Ha: μ >20, using a sample of
size 25 is found to be 0.3215.
What conclusion can be made about the test at 5% level of
significance?
Group of answer choices
Accept the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is significant
Question 2
As reported on the package of seeds,...

A test of the null hypothesis
H0: μ = μ0
gives test statistic
z = −1.24.
(Round your answers to four decimal places.)
(a) What is the P-value if the alternative is
Ha: μ >
μ0?
(b) What is the P-value if the alternative is
Ha: μ <
μ0?
(c) What is the P-value if the alternative is
Ha: μ ≠
μ0?

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