Question

You may need to use the appropriate appendix table or technology to answer this question. Consider...

You may need to use the appropriate appendix table or technology to answer this question.

Consider the following hypothesis test.

H0: p = 0.20

Ha: p ≠ 0.20

A sample of 500 provided a sample proportion

p = 0.175.

(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?

Do not reject H0. There is sufficient evidence to conclude that p ≠ 0.20.Do not reject H0. There is insufficient evidence to conclude that p ≠ 0.20.    Reject H0. There is insufficient evidence to conclude that p ≠ 0.20.Reject H0. There is sufficient evidence to conclude that p ≠ 0.20.

(d)

What is the rejection rule using the critical value? (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

What is your conclusion?

Do not reject H0. There is sufficient evidence to conclude that p ≠ 0.20.Do not reject H0. There is insufficient evidence to conclude that p ≠ 0.20.    Reject H0. There is insufficient evidence to conclude that p ≠ 0.20.Reject H0. There is sufficient evidence to conclude that p ≠ 0.20.

Homework Answers

Answer #1

a)

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.175 - 0.2)/sqrt(0.2*(1-0.2)/500)
z = -1.40

b)


P-value Approach
P-value = 0.1615

c)

As P-value >= 0.05, fail to reject null hypothesis.
.Do not reject H0. There is insufficient evidence to conclude that p ≠ 0.20.

d)

This is two tailed test, for α = 0.05
Critical value of z are -1.96 and 1.96.

Hence reject H0 if test statistic < -1.96 or test statistic > 1.96

.Do not reject H0. There is insufficient evidence to conclude that p ≠ 0.20.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You may need to use the appropriate appendix table or technology to answer this question. Consider...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 40 provided a sample mean of 26.2. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = ? (c) At α = 0.01,state your conclusion....
You may need to use the appropriate appendix table or technology to answer this question. Consider...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.09. The population standard deviation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At α = 0.05, state your conclusion....
You may need to use the appropriate appendix table or technology to answer this question. Consider...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ = 22 Ha: μ ≠ 22 A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (Round your test statistics to two decimal places and your p-values to four decimal places.) (a) x = 24 Find the...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 80 Ha: μ < 80 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 78.5,    Find the value of the test statistic. ? Find the p-value. (Round your answer to four decimal places.) p-value...
ou may need to use the appropriate technology to answer this question. Consider the following hypothesis...
ou may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 50 Ha: μ < 50 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 49 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal...
Consider the following hypothesis test. H0: p = 0.20 Ha: p ≠ 0.20 A sample of...
Consider the following hypothesis test. H0: p = 0.20 Ha: p ≠ 0.20 A sample of 400 provided a sample proportion p = 0.185. (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? Do not reject H0. There is sufficient evidence to conclude that p ≠ 0.20.Reject H0. There is sufficient...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations assuming the variances are unequal. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.2 s2 = 8.6 (a) What is the value of the test statistic? (Use x1 − x2....
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μd ≤ 0 Ha: μd > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.) Element Population (1) Population (2) Difference 1 21 18 ? 2 28 27 ? 3 18 15 ? 4 20 18 ? 5 26 25 ? (b) Compute d. (c)...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μd ≤ 0 Ha: μd > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.) Element Population Difference 1 2 1 21 19 2 28 28 3 18 17 4 20 18 5 26 26 (b) Compute d. (c) Compute the standard deviation sd. (d)...
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 500 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? Do not reject H0. There is sufficient evidence to conclude that p ≠ 0.30.Do not reject H0. There...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT