Question

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 sample proportion of 0.55.
- With your original sample, you decided to test a two-sided alternative instead of Ha: π>0.50Ha: π>0.50.

Answer #1

Suppose that you are testing the hypotheses H0?: p=0.17 vs. HA?:
p?0.17. A sample of size 200 results in a sample proportion of
0.22.
?a) Construct a 99?% confidence interval for p.
?b) Based on the confidence? interval, can you reject H0 at
?=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?

Suppose that you are testing the hypotheses H0 p=0.21
vs. HA p ?0.21.A sample of size 300 results in a sample
proportion of 0.27.
?a) Construct a 90?% confidence interval for p.
?b) Based on the confidence? interval, can you reject
H0 at alpha=0.100?? 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?

Suppose that you are testing the hypotheses H0: p=0.22 vs. HA:
p≠0.22. A sample of size 150 results in a sample proportion of
0.26.
a) Construct a 95% confidence interval for p.
b) Based on the confidence interval, can you reject H0at
α=0.05? 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?

1. In testing a null hypothesis H0 versus an alternative Ha, H0
is ALWAYS rejected if
A. at least one sample observation falls in the non-rejection
region.
B. the test statistic value is less than the critical value.
C. p-value ≥ α where α is the level of significance. 1
D. p-value < α where α is the level of significance.
2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0,
suppose Z...

The p-value for testing a hypothesis of
H0: μ=100
Ha: μ≠100
is 0.064 with a sample size of n= 50. Using this information,
answer the following questions.
(a) What decision is made at the α= 0.05 significance level?
(b) If the decision in part (a) is in error, what type of error
is it?
(c) Would a 95% confidence interval forμcontain 100?
Explain.
(d) Suppose we took a sample of size n= 200 and found the exact
same value of...

1). Conduct the appropriate hypothesis test with the following
information, and provide your p-value as your final
answer. The null hypothesis states that H0:=
250 versus the alternative Ha: > 250. The sample of
size 26 resulted in a mean of 255.0 and a standard deviation of
8.79.
Find the p-value in this example.
2). Conduct the appropriate hypothesis test with the following
information, and provide your p-value as your final
answer. The null hypothesis states that H0: =
0.75 versus the...

Suppose that we are testing H0: μ = μ0 versus H1: μ < μ0 with
sample size of n = 25. Calculate bounds on the P -value for the
following observed values of the test statistic (use however many
decimal places presented in the look-up table. Answers are
exact):
(h) upper bound upon t0 = -1.3.
THE ANSWER IS NOT 0.15 OR 0.05

You are testing the following hypothesis: H0: m = 72 HA: m ≠ 72
Your sample size if n = 36 and your sample standard deviation is
equal to 12. If your sample mean is equal to 69.2, the appropriate
conclusion would be to reject the null hypothesis at a significance
level of... Select one:
Select one:
a. 0.10
b. 0.05
c. 0.02
d. 0.01
e. None of the above.

Suppose that you are testing the hypotheses H0: μ=12 vs. HA:
μless than<12. A sample of size 25 results in a sample mean of
12.5 and a sample standard deviation of 1.9. a) What is the
standard error of the mean? b) What is the critical value of t*
for a 90% confidence interval? c) Construct a 90% confidence
interval for μ. d) Based on the confidence interval, at
alphaαequals=0.05 can you reject H0? Explain.

We wish to test the hypotheses H0: p=0.5 versus
Ha: p<0.5 at a 1% level of significance. Here, p
denotes the fraction of registered voters who support a proposed
tax for road construction. In order to test these hypotheses a
random sample of 500 registered voters is obtained. Suppose that
240 voters in the sample support the proposed tax. Calculate the
p-value. Do not included a continuity correction in the
calculation.

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