for a one factor anova comparing four treamtnets, what is the null hypothesis
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for a one factor anova comparing four treamtnets, what is the null hypothesis
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- A researcher would like to determine whether people can really tell the difference between the bottled water and tap water. Participants were asked to taste two unlabeled glasses of water, one bottled and one tap, and identify the one they think tastes better. Our of 40 people in the sample, 28 picked the bottled water. Was the bottled water selected significantly more often than would be expected by chance? Use a two-tailed test with α = .05During the Movement Control Order period due to Covid-19 pandemic, employees have been asked to work from home where meetings and appointments are done online. From a recent survey, 355 out of 1000 employees from State A and 498 out of 1200 employees from State B claimed that they prefer to use Google Meet for their online meetings. Based on the sample data, is there any significant di↵erence between the proportions of employees from State A and State B who prefer to use Google Meet for their online meetings? Test at α = 0.01.n a recent court case it was found that during a period of 11 years888people were selected for grand jury duty and39%of them were from the same ethnicity. Among the people eligible for grand jury duty,80.4%were of this ethnicity. Use a0.01significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
- The latest results from a method of gender selection shows that among 152 sets of parents using the method for increasing the likelihood of a boy, 130 actually had boys and the other 22 had girls. Assuming that the method has no effect and that boys and girls are equally likely, a simulation of 152 births was conducted. The simulated number of boys and girls are shown on the right for 10 cases. Is it unusual to get 130 boys in 152 births? What does the result suggest about the method? Number of boys 86 82 60 69 Number of girls 66 70 92 83 84 Is it unusual to get 130 boys in 152 births? O No 00 Yes 68 77 90 91 62 61 77 75 78 74 74 78A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. For the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant at the 1% level? (Null and Alternate Hypothesis and Rejection Region) [Group 1: Private University; Group 2: Public University] A. Ho: p1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -2.33 B. Ho: p 1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -1.64 C. Ho: p 1 = p 2; Ha: p 1 > p 2; Rejection Region: z > 2.33 D. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: z < -2.58 or z > 2.58 E. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: t < -3.02 or t > 3.02 (Test Statistic) A. z = 1.372 B. z = 1.398 C. z = 69.517 D. z = 1.400 E. z = 6.508 (p-value and conclusion) A. p = 0.919; RHo (Sufficient evidence…A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…
- A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…i only need part c. please do it correct.US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university’s college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96
- A study is performed involving two therapies for people unable to walk from severe pain due to arthritis. In the study, 300 individuals were randomly given one of two therapies. Specifically, 125 were given Therapy A and 175 were given Therapy B. A total of 88 of the 300 individuals were able to walk with little to no pain, 32 from Therapy A group and 56 from Therapy B group. A significance test was performed for the following hypotheses resulted in a p-value of 0.1150: H0: Walking rates are the same for Therapy A and BHa: Therapy B has a greater walking rate Part A: Interpret the p-value in terms of the context. Part B: Using a significance level of α = 0.05, what can you conclude from the context of this study? Part C: Based on your conclusion in part B, which type of error—Type I or Type II—could have been made? What is one potential consequence of this error?In a clinical trial of Nasonex, 300 allergy patients were randomized into two groups, with Group 1 receiving the Nasonex drug (200 mg) and Group 2 receiving a placebo. The experimenter used a 2:1 randomization plan so that more subjects would be assigned to the Nasonex group. One outcome of interest is the incidence rate of headache as a side-effect. Of the 200 patients randomized to the Nasonex group, 52 (or 26%) reported experiencing a headache; and of the 100 patients randomized to the placebo group, only 22 (22%) reported a headache. 1. The makers of Nasonex are concerned that their allergy medication might increase the incidence of headaches. So they would like to assess the claim that the incidence rate of headaches is higher for Nasonex users as compared to placebo. So the null hypothesis is given by H0: p1 - p2 = 0. Select the appropriate alternative hypothesis. Ha: p1 - p2 ≠ 0 Ha: p1 - p2 > 0 Ha: p1 - p2 < 0 2. It seems that the sample sizes of 200…According to a magazine, Chick-fil-A has the best accuracy of thrive thru orders with 96.4% of all its drive-through orders filled correctly. The manager of a competing fast food restaurant wants to advertise that her drive-through is more accurate than Chick-fil-A. In a random sample of 350 drive-through order, the manager found that 340 orders were found to be accurate. Test the managers claim at 0.05 level of significance. a) what type of test should we use? b) write a hypothesis and specify the type of test (tailing). c) calculate (formula/values) The test statistic and determine the critical value. d) State the decision of the test e) Express your conclusion concisely using statistically appropriate language applied to the order accuracy. f)
