Question

Danny was conducting the following hypothesis test where μ = true mean age (years) of Eminem...

Danny was conducting the following hypothesis test where μ = true mean age (years) of Eminem fans: H0: μ = 12 vs. Ha: μ ≠ 12. With a p-value = 0.0245, at the 1% level of significance, which is the correct decision?

Group of answer choices

Insufficient evidence to decide.

Reject the null hypothesis.

Fail to reject the null hypothesis.

Homework Answers

Answer #1

solution:

this is the two tailed test .  

The null and alternative hypothesis is ,

H0 :   = 12

Ha :     12

P-value = 0.0245

= 0.01 =1%

P-value >

fail to Reject the null hypothesis .

There is sufficient evidence to suggest that  

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
For the following hypothesis test, where H0: μ ≤ 10; vs. HA: μ > 10, we...
For the following hypothesis test, where H0: μ ≤ 10; vs. HA: μ > 10, we reject H0 at level of significance α and conclude that the true mean is greater than 10, when the true mean is really 14. Based on this information, we can state that we have: Made a Type I error. Made a Type II error. Made a correct decision. Increased the power of the test.
Use a​ t-test to test the claim about the population mean μ at the given level...
Use a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. ​Claim: μ ≠ 24​; α=0.10    Sample​ statistics: x overbar = 21.4​, s = 4.2 ​, n equals = 11 What are the null and alternative​ hypotheses? Choose the correct answer below. A.H0​: μ≠24    Ha​: μ=24 B.H0​: μ≤24    Ha​: μ>24 C.H0​: μ=24 Ha​: μ≠24 D.H0​: μ≥24 Ha​: μ than<24...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.65. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. a. p-value > 0.200 b. 0.100 < p-value < 0.200     c. 0.050 < p-value < 0.100 d. 0.025 < p-value...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.64. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value > 0.2000.100 < p-value < 0.200    0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
Consider a hypothesis test with H0: μ = 31, Ha: μ ≠ 31, when ?=9, ?*...
Consider a hypothesis test with H0: μ = 31, Ha: μ ≠ 31, when ?=9, ?* = 2.30 and ? = 0.05. Determine the decision (reject or fail to reject H0) you would reach, using the p-value approach, based on the evidence provided. p-value: Decision: Reason:
Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of...
Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 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 = 34 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 places.) p-value = State your conclusion. Reject H0. There is sufficient evidence...
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ <  55 A sample of 36...
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ <  55 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 = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence to...
Consider the following hypothesis test. H0: μ ≥ 20 Ha: μ < 20 A sample of...
Consider the following hypothesis test. H0: μ ≥ 20 Ha: μ < 20 A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2. (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) Using α = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 20.Reject H0. There is...
Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of...
Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.07. 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. Reject H0. There is sufficient evidence to conclude that μ ≠ 15.Reject H0. There is...
A store owner claims the average age of her customers is 28 years. She took a...
A store owner claims the average age of her customers is 28 years. She took a survey of 38 randomly selected customers and found the average age to be 29.7 years with a standard error of 1.180. Carry out a hypothesis test to determine if her claim is valid. (a) Which hypotheses should be tested? - H0: μ = 28 vs. Ha: μ > 28 - H0: μ = 29.7 vs. Ha: μ ≠ 29.7      - H0: μ = 28...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT