Question
In: Statistics and Probability
You collect data and test the hypotheses H0: p = 0.50 Ha: p not equals...
You collect data and test the hypotheses H0: p = 0.50 Ha: p not equals 0.50, A P-value of 0.03 is obtained. Which of the following is true (hint: find α for each) ?
A. A 99% confidence interval for p will not include the value 0.50.
B. A 95% confidence interval for p will not include the value 0.50.
C. A 90% confidence interval for p will not include the value 0.50.
D. B and C.
E. A and C.
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose that you are testing the hypotheses H0: p=0.18 vs. HA: p=/ 0.18. A sample of...
Suppose that you are testing the hypotheses H0: p=0.18 vs. HA:
p=/ 0.18. A sample of size 150 results in a sample proportion of
0.25.
a) Construct a 99% confidence interval for p.
b) Based on the confidence interval, can you reject H0 at a
=0.01? Explain.
c) What is the difference between the standard error and
standard deviation of the sample proportion?
d) Which is used in computing the confidence interval?
Consider the following hypotheses: H0: p ≥ 0.48 HA: p < 0.48 Which of the following...
Consider the following hypotheses:
H0: p ≥ 0.48
HA: p < 0.48
Which of the following sample information enables us to reject
the null hypothesis at α = 0.01 and at α = 0.05?
(You may find it useful to reference the appropriate
table: z table or t
table) (Round all intermediate
calculations to at least 4 decimal places.)
α = 0.01
α = 0.05
a.
x = 32; n = 89
(Click to select) Do not reject H0 Reject
H0
(Click...
Consider the following hypotheses: H0: p ≥ 0.52 HA: p < 0.52 Which of the following...
Consider the following hypotheses:
H0: p ≥ 0.52
HA: p < 0.52
Which of the following sample information enables us to reject
the null hypothesis at α = 0.01 and at α = 0.10?
(You may find it useful to reference the appropriate
table: z table or t
table) (Round all intermediate
calculations to at least 4 decimal places.)
α = 0.01
α = 0.10
a.
x = 42; n = 100
(Click to select) Do not reject H0 or Reject...
Consider the following hypotheses: H0: p ≥ 0.45 HA: p < 0.45 What is the pvalue...
Consider the following hypotheses:
H0: p ≥ 0.45
HA: p < 0.45
What is the pvalue for A,B,C,and D?
a.
x = 42; n = 105
b.
x = 139; n = 331
c.
p¯ = 0.35; n = 69
d.
p¯ = 0.35; n = 456
Consider the following hypotheses: H0: p ≥ 0.47 HA: p < 0.47 Compute the p-value based...
Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47
Compute the p-value based on the following sample
information. (You may find it useful to reference the
appropriate table: z tableor t
table) (Round "z" value to 2 decimal
places. Round intermediate calculations to at
least 4 decimal places and final answers to 4 decimal
places.)
p-value
a.
x = 46; n = 121
b.
x = 105; n = 269
c.
p⎯⎯p¯ = 0.40; n = 62...
Consider the following hypotheses: H0: p ≥ 0.59 HA: p < 0.59 Compute the p-value based...
Consider the following hypotheses: H0: p ≥ 0.59 HA: p < 0.59
Compute the p-value based on the following sample information. (You
may find it useful to reference the appropriate table: z table or t
table) (Round "z" value to 2 decimal places. Round intermediate
calculations to at least 4 decimal places and final answers to 4
decimal places.) p-value a. x = 44; n = 83 b. x = 135; n = 276 c.
p⎯⎯ = 0.55; n =...
Consider the following hypotheses: H0: p ≥ 0.48 HA: p < 0.48 Compute the p-value based...
Consider the following hypotheses:
H0: p ≥ 0.48
HA: p < 0.48
Compute the p-value based on the following sample
information. (You may find it useful to reference the
appropriate table: z table or t
table) (Round "z" value to 2 decimal
places. Round intermediate calculations to at
least 4 decimal places and final answers to 4 decimal
places.)
p-value
a.
x = 50; n = 122
b.
x = 118; n = 329
c.
p⎯⎯p¯ = 0.42; n =...
A test of H0: p = 0.4 versus Ha: p > 0.4 has the test statistic...
A test of H0: p = 0.4 versus Ha: p > 0.4 has the test
statistic z = 2.52.
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 ≠ 0.4, what
conclusion can you draw at the 5% significance level? At the 1%
significance level? (4 points) (10 points)
A statistician formulated a hypothesis test, specifying the value of α, the hypotheses H0 and Ha,...
A statistician formulated a hypothesis test, specifying the
value of α, the hypotheses H0 and
Ha, and the data-collection and analysis procedures to
be used. Choose one of the following and write one or two sentences
justifying your choice:
α + β < 1
α + β = 1
α + β > 1
Any of the above might be true – more information about this
hypothesis test would be needed.
For a hypothesis test of H0: p = 0.65 against the alternative Ha: p < 0.65,...
For a hypothesis test of H0: p = 0.65 against the
alternative Ha: p < 0.65, the z test statistic is
found to be -2.35. What can be said about his finding?
The finding is significant at both α = 0.05 and α = 0.01.
The finding is significant at α = 0.05 but not at α = 0.01.
The finding is significant at α = 0.01 but not at α = 0.05.
The finding is not significant at α...
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