You may need to use the appropriate appendix table or technology to answer this question.Consider the following hypothesis test.Ho: M₁ M₂ = 0На: M1 - M2 ≠ 0The following results are for two independent samples taken from the two populations.Sample 1n1 = 80X1 = 10401 8.202(a) What is the value of the test statistic? (Round your answer to two decimal places.)Sample 2== 70n₂ =x₂= 106= 7.2(b) What is the p-value? (Round your answer to four decimal places.)(c) With a = 0.05, what is your hypothesis testing conclusion?-Do not Reject Ho. There is sufficient evidence to conclude that µ₁ − µ₂ ‡ 0.Reject Ho There is sufficient evidence to conclude that μ₁ - M₂ + 0.Reject Ho. There is insufficient evidence to conclude that µ₁ − µ₂ ‡ 0.Do not reject Ho. There is insufficient evidence to conclude that µ₁ − µ₂ ‡ O. DATAfile: HotelYou may need to use the appropriate appendix table or technology to answer this question.Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosinga city for the convention that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The filenamed Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conductedby Smith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the populationstandard deviations for the prices can be assumed to be $15 in Atlanta and $25 in Houston. Based on the sample data, can youconclude that the mean price of a hotel room in Atlanta is lower than one in Houston?State the hypotheses. (Let μ₁ = mean hotel price in Atlanta and let µ₂ = mean hotel price in Houston.)Ho: M₁Ha: M₁Ho: M₁M₂ = 0На: M1 - M2 # 0M₂ <0M₂ ≥ 0Ho: M₁ M₂ ≥ 0На: M1 - M2<0Ho: M₁Ha: M₁-M₂ > 0M₂ = 0M₂ #0Ho: M₁H₂: M₁ M₂ == 0Calculate the test statistic. (Round your answer to two decimal places.)-0.351XCalculate the p-value. (Round your answer to four decimal places.)p-value = -0.351XWhat is your conclusion? (Use a = 0.05.)O Reject Ho. There is sufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the meanprice of a hotel room in Houston.Do not reject Ho. There is insufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than themean price of a hotel room in Houston.Do not reject Ho. There is sufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than themean price of a hotel room in Houston.Reject HoThere is insufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the meanprice of a hotel room in Houston.

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Answered: Consider the following hypothesis test.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Given two independent random samples with the following results: n₁ = 651 x₁ = 307 n2 = 569 x2 = 234 Can it be concluded that there is a difference between the two population proportions? Use a significance level of a = 0.02 for the test. Copy Data Step 5 of 6: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places.
Read the problem below and answer the following questions. 1) What statistical test should be used to solve this problem? 2) State the null and alternative hypotheses for the test. Bicep strength (kg/cm2) was measured in 2 groups of 12 males each (age=18-25). One group received a hormone injection (H) and the other did not (NH). Is mean bicep strength greater in the group receiving the hormone injection? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px A V ...
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How do I find the test statistic and P value for this question?
You wish to test the following claim (Ha) at a significance level of a - 0.005. Ho: P1= P2 Ha: P1 P2 You obtain 9.9 % successes in a sample of size ₁ 455 from the first population. You obtain 7.7% successes in a sample of size n₂ 797 from the second population. Round values for X to the nearest whole number. What is the test statistic for this sample? (Round to three decimal places.) test statistic = What is the p-value for this sample? (Round to four decimal places.) p-value E
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
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We have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level. x = 21, s = 4, n = 32, H0: μ = 22, Ha: μ<22
You wish to test the following claim (Ha) at a significance level of a = 0.02. || 74.4 Ha:µ + 74.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 82.1 86.3 73.9 81.8 66.3 56.6 73.4 74.7 78.5 93.6 60 79.8 71.4 76.3 86.8 60 82.1 69.6 87.7 79.5 96.1 88.2 97.9 81.8 66.7 72 86.3 82.1 78.7 57.9 79.3 62.9 85.5 75 75.5 71.1 64 71.7 62.3 86.3 69.2 80.9 85.2 75.8 88.2 83.7 65.9 63.5 86.3 67.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
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