Question
In: Statistics and Probability
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 = 0.05 and α = 0.01.
The finding is inconclusive because we don't know the value of p̂.
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose we want to test the null hypothesis H0 : p = 0.28 against the alternative...
Suppose we want to test the null hypothesis H0 : p = 0.28
against the alternative hypothesis H1 : p ≠ 0.28. Suppose also that
we observed 100 successes in a random sample of 400 subjects and
the level of significance is 0.05. What are the critical values for
this test?
a. -1.96 and 1.96
b. 0.05 and 0.01
c. -1.39 and 1.39
d. -1.6449 and 1.6449
Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...
Consider the following hypothesis test:
H0: p ≥ 0.75
Ha: p < 0.75
A sample of 300 items was selected. Compute the p-value and
state your conclusion for each of the following sample results. Use
α = .05.
Round your answers to four decimal places.
a. p = 0.67 p-value _____?
b. p = 0.75 p-value _____?
c. p = 0.7 p-value _____?
d. p = 0.77 p-value _____?
Consider the following hypothesis test. H0: p = 0.30 Ha: p ≠ 0.30 A sample of...
Consider the following hypothesis test.
H0: p = 0.30
Ha: p ≠ 0.30
A sample of 400 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?
Reject H0. There is insufficient evidence to
conclude that p ≠ 0.30.
Reject H0. There is sufficient...
Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...
Consider the following hypothesis test:
H0: p ≥ 0.75
Ha: p < 0.75
A sample of 300 items was selected. Compute the p-value
and state your conclusion for each of the following sample results.
Use = .05.
Round your answers to four decimal places.
b. = 0.74
p-value is
c. = 0.78
p-value is
Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...
Consider the following hypothesis test:
H0:
p ≥ 0.75
Ha: p < 0.75
A sample of 400 items
was selected. Compute the p-value and state your
conclusion for each of the following sample results. Use α =
.05.
Round your answers to
four decimal places.
a.
p = 0.66
p-value
Conclusion:
p-value Select greater than or equal to 0.05, reject,
greater than 0.05, do not reject, less than or equal to 0.05,
reject, less than 0.05, reject, equal to 0.05,...
Consider the following hypothesis test: H0: p .8 Ha: p > .8 A sample of 500...
Consider the following hypothesis test:
H0: p .8
Ha: p > .8
A sample of 500 provided a sample proportion of .853.
16. Determine the standard error of the proportion.
17. Compute the value of the test statistic.
18. Determine the p-value; and at a 5% level, test the above the
hypotheses.
To test H0: p = 0.65 versus H1: p> 0.65, a simple random sample of n...
To test H0: p = 0.65 versus H1: p> 0.65, a simple random
sample of n = 100 individuals is obtained and x = 69 successes are
observed.
(a) What does it mean to make a Type II error for this
test?
(b) If the researcher decides to test this hypothesis at the alpha
= 0.01 level of significance, compute the probability of making a
Type II error if the true population proportion is 0.70. What is
the power of...
Use a t-test to test the null hypothesis H0: µX = µY against the two-sided alternative...
Use a t-test to test the null hypothesis H0: µX = µY
against the two-sided alternative Ha: µX ≠ µY. Use R
program
(a) Generate 30 values from X ~ N (µX = 10, σX = 4) and
30 values from Y ~ N (µY = 10, σY = 4). . Use a t-test to test the
hypotheses given above.
(b) Include a comment in your code that identifies the
p-value and clearly state the conclusion of the test in...
A researcher has boiled her hypothesis test down to the following information. H0: p=0.7, Ha: p<0.7,...
A researcher has boiled her hypothesis test down to the
following information.
H0: p=0.7, Ha: p<0.7, α=0.02 x=117, n=172
Find the p-value.
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)
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