Question

**7**. 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.

**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?

Answer #1

**Question 7:**

As we are testing here whether the proportion is greater than 0.25, therefore the test statistic here is computed as:

As this is a one tailed test, the p-value here is computed from the standard normal tables as:

p = P(Z > 1.8475) = 0.0323

As the computed p-value here is 0.0323 < 0.1 and 0.0323 < 0.05, therefore the test is significant for both level of significance 0.05 and 0.1. Therefore we can reject the null hypothesis here and conclude that we have sufficient evidence that the proportion here is more than 0.25.

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

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

. Test at ? =.05 and 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, 265 favor the
system?

Test at α =.05 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 400 students, 216 favor the system?

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?

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?

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, 275 favor the
system?

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.

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...

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