Question

Test H_{0}: π = 0.25 versus H_{A}: π ¹ 0.25 with
p = 0.33 and n = 100 at alpha = 0.05 and 0.10.

Answer #1

here direction at Ha is not given if it is

at 0.05 level

**as test statistic 1.85
is not in rejection region we can not reject null hypothesis at
0.05 level**

**for 0.10 level critical values =-/+1.645 and therefore
test statistic 1.85 is in rejection region and therefore we reject
null hypothesis at 0.10 level**

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?

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

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

For a test of H0: p = 0.33 vs. Ha: p ≠ 0.33, the sample of size
101 shows 47 successes. Find the z test statistic. Round to two
decimal places

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.

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

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
find a...

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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