Question

Test H0: π = 0.25 versus HA: π 0.25 with p = 0.34 and n = 100 at alpha = 0.05 and 0.01.

Answer #1

Given that, n = 100 and p = 0.34

The null and alternative hypotheses are,

H0 : π = 0.25

HA : π ≠ 0.25

This hypothesis test is a two-tailed test.

Test statistic is,

=> Test statistic = **2.08**

p-value = 2 * P(Z > 2.08)

=> p-value = 2 * [ 1 - P(Z < 2.08) ]

=> p-value = 2 * [ 1 - 0.9812 ]

=> p-value = 2 * 0.0188

=> p-value = **0.0376**

Since, p-value is less than alpha = 0.05, we **reject
H0.**

****Since, p-value is greater than alpha =
0.01, we **fail to reject H0.**

Therefore, we **Reject H0** at alpha = 0.05 but
**do not reject H0** at alpha = 0.01

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.

7. 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.
8. Test at α =.05 and 0.10 the hypothesis that
a majority (more than 50%) of students favor the plus/minus grading
system at a university if in a random sample of 500 students, 265
favor the system?

7. Test H0: π = 0.25 versus HA: π ¹0.25
with p = 0.33 and n = 100 at alpha = 0.05 and 0.10.
8. Test at α = 0.01 the hypothesis that a majority (more than
50%) of students favor the plus/minus grading system at a
university if in a random sample of 500 students, 285 favor the
system?
9. Test whether the sample evidence indicates that the average
time an employee stays with a company in their current...

Test H0 : p = 0.25 vs Ha : p < 0.25 using the sample results
p^=0.16 with n = 100

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

Please type work and answer.
Test H0: m £ 8 versus HA:
m > 8, at a = 0.05 and 0.01, given n = 25,
X = 8.07 and s = 0.16. Assume the sample
is selected from a normally distributed population.

Test H0: μ ≤ 8 versus HA: μ > 8, given α = 0.01, n = 25, X =
8.13 and s = 0.3. Assume the sample is selected from a normally
distributed population.

suppose you are testing the hypothesis H0: π=0.50H0: π=0.50
versus Ha: π>0.50Ha: π>0.50. You get a sample proportion of
0.54 and find that your p-value is 0.08. Now suppose you redid your
study with each of the following changes. Will your new p-value be
larger or smaller than the 0.08 your first obtained?
You increase the sample size and still find a sample proportion
of 0.54.
Keeping the sample size the same, you take a new sample and
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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)

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