Question

We wish to test the hypotheses H_{0}: p=0.5 versus
H_{a}: p<0.5 at a 1% level of significance. Here, p
denotes the fraction of registered voters who support a proposed
tax for road construction. In order to test these hypotheses a
random sample of 500 registered voters is obtained. Suppose that
240 voters in the sample support the proposed tax. Calculate the
p-value. Do not included a continuity correction in the
calculation.

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?

Suppose the researchers conducting the study wish to test the
hypotheses H0: β1 = 0 versus
Ha: β1 ≠ 0. What do we know about
the P-value of this test?

We wish to test H0: μ = 120 versus Ha:
μ ¹ 120, where ? is known to equal 14. The sample of n = 36
measurements randomly selected from the population has a mean of ?̅
= 15.
a. Calculate the value of the test
statistic z.
b. By comparing z with a critical
value, test H0 versus Ha at ? = .05.

We are conducting a test of the hypotheses
(H0:p=0.4)
versus
(Ha:p≠0.4)
For our test, we calculate a sample proportion of 0.28 with a
sample size of 50. What is the corresponding p-value? Give your
answer to four decimal places.

Suppose that we wish to test H0: µ = 20 versus
H1: µ ≠ 20, where σ is known to equal 7. Also, suppose
that a sample of n = 49 measurements randomly selected
from the population has a mean of 18.
Calculate the value of the test statistic Z.
By comparing Z with a critical value, test
H0 versus H1 at α = 0.05.
Calculate the p-value for testing H0 versus
H1.
Use the p-value to test H0 versus...

A test of H0: p = 0.6 versus Ha: 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
Ha: p ≠ 0.6, what conclusion can you draw at the 5%
significance level? At the 1% significance level? (4 points) (10
points)

You wish to test the following hypotheses at a significance
level of α=0.02
H0: μd=0
HA: μd≠0
For the context of this problem, μd=μ2−μ1 where the first data set
represents a pre-test and the second data set represents a
post-test.
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=7 subjects. The average
difference (post - pre) is ¯d=−32d with a standard deviation of...

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.For testing H0 : p = 0.5 vs. Ha : p < 0.5 at level α, let a
sample of size n = 100 is taken. What would be an appropriate
rejection region?
A. t0 < tα B. z0 < zα C. z0 > zα D. |z0| > zα/2
2. A test statistic
A. is a function of a random sample used to test a hypothesis.
B. is a function of a parameter used to test a hypothesis. C. is...

Test H0: π = 0.25 versus HA: π ¹ 0.25 with
p = 0.33 and n = 100 at alpha = 0.05 and 0.10.

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