identify a) The research hypothesis H1 b) The null hypothesis HO c) The rejection region of the null hypothesis
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- Find the Type II error given that the null hypothesis, H0, is: there are no more than 15% of structures in the county were built without permits.And, the alternative hypothesis, Ha, is: a building inspector claims that more than 15% of structures in the county were built without permits. Select the correct answer below: The building inspector concludes that more than 15% of the structures in the county were built without permits when, in fact, no more than 15% of the structures were built without permits. The building inspector concludes that more than 15% of the structures in the county were built without permits when, in fact, more than 15% of the structures were built without permits. The building inspector cannot conclude that more than 15% of the structures in the county were built without permits when, in fact, no more than 15% of the structures were built without permits. The building inspector cannot conclude that more than 15% of the structures in the county were…A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowDuring the pandemic period, it is claimed that the average of transmitting the virus to others in the case of a person who lives in Europe and is a carrier of Covid-19 virus, in case he does not comply with the social isolation rule, and the average of transmitting the virus to others from the same situation living in America is different from each other. In order to test this claim, 13 of the carriers living in Europe, randomly selected, have an average of 29 and a standard deviation of 13. Similarly, the average transmitting the virus was 33 and the standard deviation was 17 for 17 random carriers living in the United States who did not comply with the social isolation rule. Since it is known that the variances of all people living in Europe and America with the disease are heterogeneous, test the claim at the 13% significance level, interpret the decision you made as a result of the test. While testing the hypothesis test, apply the 4 steps and show them separately.
- A production manager is interested to know if the distribution of defective items produced by threemachines are homogeneous. From a random sample of 200 items produced by machine I it wasfound that 150 items have no falt, 30 items have one fault and rest of the items have more than onefault. Of the 180 items produced by the machine II it was found that 85% items have no fault, 10%items have one fault and rest of the items have more than one fault. From a total of 220 itemsproduced by machin III, it was found that 205 items have no fault, 10 items have one fault and restof the items have more than one fault.(a) Construct the contigency table considering status of defectives in row and type of machinein column(b) What percentage items with one fault produced by each of the machine I and III?(c) Test at 5% significance level whether the distribution of defective items produced by threemachines are homogeneous or not?A private school official claims that more than 70% of the students who come to their school to prepare for the university entrance exam, get the degree they want at the university. In order to investigate this claim, 120 students who were randomly selected among the students who went to the said school and won the university were asked whether they won the department they wanted or not, and it was learned that 90 students won the department they wanted in the university. Make a hypothesis about the official's claim.A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 44 of 100 individuals prefer Brand A. Complete parts a through c. Conduct a hypothesis test (preferably using technology) Upper H0: p=p0 versus H1: p ≠ p0 for p0= 0.33, 0.34, 0.35, ..., 0.53, 0.54, 0.55 at the alpha α = 0.05 level of significance. For which values of p0 do you not reject the null hypothesis? What does each of the values of p0 represent? Do not reject the null hypothesis for the values of p0 between nothing ______ and ______ inclusively.
- In a study with a non-directional hypothesis… A) There are two rejection regions that have the same area that adds up to the alpha level. B) There is a single rejection region with an area that corresponds to the alpha level. C) There are two rejection regions that have the same area that adds up to the p-value. D) There is a single rejection region with an area that corresponds to the p-value.In a toy shop ,2% of the toys are defective.If a boy selects 4 toys randomly ,find the probabiility of getting atleast one of the toys defective .A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 59 of 100 individuals prefer Brand A. Complete parts a through c.
- Determine the P-value for this hypothesis test.A neuroscientist hypothesizes that she found the region in the rat brain responsible for the motion of the right paw. She trains 20 right-handed rats in a specific task to push a lever to to receive a tasty pellet of food. After the all the rats learn the behavior, she randomly selects 10 of them a does a surgery to place an implant on the brains of rats through which a lazer can deactivate the said region in the brain. After the rats heal, she runs all the rats through the same task. While 10 of them went through the experiment unbothered, the other 10 who had the implant were stimulated by a lazer through their implants to disrupt the functioning of the hypothesized critical region. The neuroscientist collected the amount of rewards(number of food pellets received)the rats in both groups were able to collect:Xsurgery: 2, 4, 3, 1, 5, 3, 4, 1, 3, 4Xcontrol: 5, 6, 4, 6, 8, 9, 2, 5, 6, 3 d. Calculate 95% confidence intervals for the estimate of the difference.A neuroscientist hypothesizes that she found the region in the rat brain responsible for the motion of the right paw. She trains 20 right-handed rats in a specific task to push a lever to to receive a tasty pellet of food. After the all the rats learn the behavior, she randomly selects 10 of them a does a surgery to place an implant on the brains of rats through which a lazer can deactivate the said region in the brain. After the rats heal, she runs all the rats through the same task. While 10 of them went through the experiment unbothered, the other 10 who had the implant were stimulated by a lazer through their implants to disrupt the functioning of the hypothesized critical region. The neuroscientist collected the amount of rewards(number of food pellets received)the rats in both groups were able to collect:Xsurgery: 2, 4, 3, 1, 5, 3, 4, 1, 3, 4Xcontrol: 5, 6, 4, 6, 8, 9, 2, 5, 6, 3 c. Conduct the test. Make a decision about the null hypothesis, interpret your results and…