Question

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?

Answer #1

We are given the following data and are asked to identify the correct conclusion about the null hypothesis

To find the p-value, we look at the standard normal tables for the probability corresponding to the z-score of -1.68.

From the standard normal tables, the probability corresponding to z-score of -1.68 is 0.0465.

We reject the null hypothesis if p-value is less than the significance level.

Since p-value(0.0465) is less than the significance level(0.05), we reject the null hypothesis.

Hence the correct option is A) 0.0465; reject H_{0}.

While testing a claim about population mean, if the value of the
population standard deviation σ is not known, then the distribution
we use:CHOOSE
Binomial Distribution
Standard Normal Distribution
None
Student's t-Distribution
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:
0.0465; reject H0
0.093; fail to reject H0
0.9535; fail to reject H0
0.0465;...

The test statistic of z= "1.43" is obtained when
testing claims that p>0.4 using a significance level of a=0.01,
should we reject H0 or should we fail to reject H0. identify the
hypothesis test as being two-tailed, left-tail, or
right-tailed.
find the p-value

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?

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)

Find the P-value for the hypothesis test with the standardized
test statistic z = 0.52, Right-tailed test, and level of
significance = 0.05. Decide whether to reject H0 or fail to reject
H0.

Suppose you have a two sided hypothesis test, Ha:
? ? ?0 with a test statistic
z=2.70. Determine the p-value and give the decision of
this test. Use a 5% level of significance.
a) P-value of 0.0035, reject the null hypothesis.
b) P-value of 0.0035, fail to reject the null hypothesis.
c) P-value of 0.9931, fail to reject the null hypothesis.
d) P-value of 0.0069, reject the null hypothesis.

The test statistic of z = −2.21 is obtained when testing the
claim that p = 3/5.
a. Using a significance level of α = 0.10, find the
criticalvalue(s).
b. Should we reject Upper H0 or should we fail to reject Upper
H0?
a. The critical value(s) is/are z = ____________.
b. Choose the correct conclusion below:
A. Fail to reject H0. There is not sufficient evidence to
support the claim that p = 3/5
B. Reject H0. There is...

Consider the following hypothesis test.
H0: p = 0.30
Ha: p ≠ 0.30
A sample of 500 provided a sample proportion
p = 0.275.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
evidence to conclude that p ≠ 0.30.Do not reject
H0. There...

Consider the following hypothesis test.
H0: p = 0.20
Ha: p ≠ 0.20
A sample of 400 provided a sample proportion
p = 0.185.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
evidence to conclude that p ≠ 0.20.Reject
H0. There is sufficient...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 7 minutes ago

asked 13 minutes ago

asked 14 minutes ago

asked 30 minutes ago

asked 34 minutes ago

asked 38 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago