A plant resistant for a certain disease was crossed with another type of plant partiallysusceptible to the disease. A plant geneticist claimed that 75% of the offsprings re-sulting from the cross will be resistant to the disease. To test this claim, 150 seedsfrom this cross were collected and germinated. Of these plants, 110 plants were foundresistant to the disease.(i)Write the hypotheses.(ii)conditions that are required.Write the test statistic. State the assumptions being made and test the(ii)Write the distribution of the test statistic under the null hypothesis.Find the p-value in this context and interpret it. Drawing a picture may(iv)be helpful.What is the conclusion of the hypothesis test, at a =0.01 level of signifi-(v)cance?

Answered: Image /qna-images/answer/928ead7e-42f3-445a-bf4c-6b93d713ec2a.jpg

Answered: A plant resistant for a certain disease…

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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In a clinical trial, 29 out of 853 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.9% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.9% of this drug's users experience flulike symptoms as a side effect at the α=0.1 What are the null and alternative hypotheses?
Employees of a building materials chain facing a shutdown were surveyed on a prospective employee ownership plan. Some employees pledged $10,000 to this plan, putting up $800 immediately, while others indicated that they did not intend to pledge. Of a random sample of 175 people who had pledged, 78 had already been laid off, whereas 208 of a random sample of 604 people who had not pledged had already been laid off. Test, at the 5% level against a two-sided alternative, the null hypothesis that the population proportions already laid off were the same for people who pledged as for those who did not.
The university registrar claims that fewer than 20 percent of the students who enroll at Ivy University graduate in four years. To test this claim, a random sample of 100 students was selected, and 18 were found to have graduated in four years. Set up a hypothesis test to see if you can prove this claim.
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…
. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?
In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. WHat is the approrpiate null hypothesis for this problem?
A local police chief claims that about 22% of all drug related arrests are ever prosecuted. A sample of 800 arrests shows that 25% of the arrests were prosecuted. Is there sufficient evidence at the 0.01 level to refute the chief's claim? State the null and alternative hypotheses for the above scenario.
A doctor claims that less than 30 percent of all per-sons exposed to a certain amount of radiation will feel any ill effects. If, in a random sample, only 1 of 19 per-sons exposed to such radiation felt any ill effects, test the null hypothesis θ = 0.30 against the alternative hypothe-sis θ < 0.30 at the 0.05 level of significance.
A company selling home furnaces claims that installingtheir new high efficiency furnace will “cut your heating bill in half.” A consumer agency collects data for a ran-dom sample of homes and plots this year’s heating costs with the new furnaces against previous costs with the oldfurnaces. Which are the most appropriate hypotheses totest the company’s claim?A) H0: b = 0, HA: b ≠ 0B) H0: b = 0, HA: b 7 0C) H0: b = 0, HA: b 6 0D) H0: b = 0, HA: b 6 0.5E) H0: b = 0.5, HA: b ≠ 0.5
A researcher hypothesizes that Drug A is more effective than Drug B. In conducting an analysis to test this hypothesis, how should the null hypothesis be stated?
An organization published an article stating that in any one-year period, approximately 7.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.
b) A pharmaceutical company wonders if its new drug has a cure rate different from the 58% rate reported for the placebo.What are the null and alternative hypotheses for this test if we are testing the cure rate for the new drug?

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