Question
In: Statistics and Probability
H0: p=0.9 Ha: p≠0.9 1) We know that the sample size is 1,429. For what sample...
H0: p=0.9
Ha: p≠0.9
1) We know that the sample size is 1,429. For what sample proportion would the p-value be equal
to 0.01? Assume that all conditions necessary for inference are satisfied.
2) 400 students were randomly sampled from a large university, and 239 said they did not get
enough sleep. Conduct a hypothesis test to check whether this represents a statistically
significant difference from 50%, and use a significance level of 0.01.
3) Given the same situation above (n = 400, p-hat = 239/400) set up a confidence interval at the
95% confidence level.
4) Use the confidence interval you found in part (3) above to conduct a hypothesis test on ‘Do
less than half of college students get enough slee
Solutions
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orchestra answered 2 years agoRelated Solutions
1. We want to test H0 : p ≥ 0.43 versus Ha : p < 0.43...
1. We want to test H0 : p ≥ 0.43 versus Ha : p < 0.43 . We
know that n = 500 and p = 0.3990 .
(a) What is the value of the test statistic? Round your test
statistic to 2 digits after the decimal point. (To get an answer
good to 2 digits, compute the standard error to 5 digits.)
(b) What is the p-value of the test ? Round your p-value to 3
digits after the...
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 .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.
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?
Say we have the following hypotheses H0: μ <50 HA: μ > 50 We know that...
Say we have the following hypotheses
H0: μ <50
HA: μ > 50
We know that the population standard deviation is 8. If we
collect a sample of 64 observations and want α = 0.05, calculate
whether or not we reject the null for the following sample means:
a.x̅=52.5
b.x̅=51
c.x̅=51.8
(a) Test H0 : p = 1/2 vs. Ha : p does not equal 1/2 for...
(a) Test H0 : p = 1/2 vs. Ha : p does not equal 1/2 for X ∼
Binomial(n=45,p), when we observe 16 successes.
(b) Calculate a 95% confidence interval for p for the data
above.
(c) Calculate a 95% confidence interval for p when X ∼
Binomial(15,p) and we observe only successes
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
In testing the hypothesis H0: μ = 800 vs. Ha: μ ≠ 800. A sample of size 40...
In testing the hypothesis H0: μ = 800 vs.
Ha: μ ≠ 800. A sample of size 40 is chosen.
the sample mean was found to be 812.5 with a standard deviation of
25, then the of the test statistic is:
Z=0.0401
Z=-3.16
Z=3.16
Z=12.5
In a sample of 500 voters, 400
indicated they favor the incumbent governor. The 95%
confidence
interval of voters
not favoring the incumbent is
0.782 to 0.818
0.120 to 0.280
0.765 to 0.835
0.165 to 0.235
A Type...
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