The following data on the left have been gathered from a randomized block design. Test for a significant difference in the treatment levels. Establish the hypotheses and reach a conclusion about the null hypothesis. Block. Treatment Level 1. 2 3 1 1.28 1.29 1.29 2. 1.40 1.36 1.35 3. 1.15 1.13 1.19 4 1.16 1.25 1.33
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- Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year 1,476 1,800 Occupied Rooms Total Rooms 1,422 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let P₁= population proportion of rooms occupied for current year P2 population proportion of rooms occupied for previous year - P2 less than or equal to 0 greater than 0 Ho P1 Ha P1 P2 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year .80 X Previous Year .77 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. Previous Year p-value = 0.0166 Using a 0.05 level of significance, what is your conclusion? We can conclude that there…A Data analytics professor wants to know whether level of college education influences the grade earned by students in his course. Last semester, 400 students completed his class: 150 freshmen, 100 sophomores, 100 juniors, and 50 seniors. At end of the semester, 80 students earned an A, 148 earned a B, and 172 earned a C. The distribution of grades is shown in the following table. Do a chi-square test at alpha=0.05. What is the null hypothesis for this test? A. The letter grades of the students are significantly different. B. The letter grades of the students are dependent of the level of college education. C. The letter grades of the students are identical. D. The letter grades of the students are independent of the level of college education.Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF The test is: right-tailed two-tailed left-tailed Based on a sample of 40 men, 40% owned catsBased on a sample of 40 women, 60% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- A researcher studying air quality in a metropolitan city is interested in testing the claim that less than 20% of people smoke cigarettes to test this claim the researcher collects the following data on a sample of 700 adults and 110 of them smoke cigarettes the following is the data from the study. Sample size= 700 adults Alternative hypothesis= ha:pTest the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF The test is: left-tailed two-tailed right-tailed Based on a sample of 20 men, 40% owned catsBased on a sample of 40 women, 55% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisTest the claim that the proportion of people who own cats is smaller than 60% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 H0:μ≥0.6H0:μ≥0.6H1:μ<0.6H1:μ<0.6 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:μ≤0.6H0:μ≤0.6H1:μ>0.6H1:μ>0.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 200 people, 51% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
- The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the 0.05 significance level. Treatment 1 Treatment 2 Treatment 3 3 9 6 2 6 3 5 5 5 1 6 5 3 8 5 1 5 4 4 1 7 5 6 4 If H0 is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95% level of confidence. (Round your answers to 3 decimal places.) 95% confidence interval is: to We can conclude that the treatments 2 and 3 are different.QUESTION 5. Janet Naso is arrested in Cazzipereroland and has a trial. The jury system in Cazzipereroland is somewhat different than ours. In our system, lawyers interview many prospective jurors and select 12. In Cazzipereroland, the judge calls in 7 agronomists from the nearby agricultural research station and 10 waiters from nearby restaurants. The runner-up in the Miss Cazzipere roland beauty pageant randomly picks 8 of these 17 people for the jury. Part a. What is the probability that the jury will be 3 agronomists and 5 waiters? (exing yns) Sosings and text woy jerit donq Solad 219mniw E Tonniw I masque Part b. What is the probability that the jury will be 5 agronomists and 3 waiters? con 0252 02,52 no yud woy-s709 d neTest the claim that the proportion of people who own cats is larger than 40% at the 0.01 significance level. The null and alternative hypothesis would be: Ho: µ 0.4 Ho:p 0.4 Ho:p H1:µ > 0.4 H1:p 0.4 H1: µ < 0.4 H1:p # 0.4 H1:µ # 0.4 = 0.4 Ho:µ = 0.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 600 people, 48% owned cats The test statistic is: (This is called the Z-Stat in your StatCrunch output. Round to 2 decimal places.) The p-value is: (Round to 2 decimal places.) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
- (OPHTHALMOLOGY) The following data are from a study on Botox injections. Patients received a high-dose injection in one eye (experimental treatment = treatment E) and a low-dose injection in the other eye (control treatment = treatment C). Patients were asked to rate the level of pain in each eye on a 1–10 scale, with higher scores indicating more pain. The assignment of treatments to eyes was randomized. The subjects came back over several visits. Data from the last visit are given in the following table: 1. Which of the following is the correct test to conduct given the situation above? 2. The hypotheses are: 3. What is the level of significance? 4. What is the computed test statistic? Hint: Use (mean of "Pain in E eye") minus (mean of "Pain in C eye") 5. What is the correct decision based on the p-value or critical value method?a researcher wants to know if a new drug to fight depression works better than a placebo. Participants are divided into two groups that receive either Drug A or a Placebo. Then, depression ratings on a scale of 1-10 are collected. Please determine if there is a significant treatment effect of Drug A using a two-tailed alpha test with an alpha level of .05. chegg Drug A. Placebo 7 8 6 7 4 4 5 9 5 8Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,360 1,386 Total Rooms 1,700 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let pi = population proportion of rooms occupied for current year Pa= population proportion of rooms occupied for previous year Ho : Pi - Pa H.: Pi - P2 Select your answer Select your answer b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value - Using a 0.05 level of significance, what is your conclusion? We Select your answer- vthat there has…
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