A study claims that over 40% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel. To test this claim, the mussel extract is to be given to a group of 7 osteoarthritic patients. If 3 or more of the patients receive relief, we shall not reject the null hypothesis that p = 0.4; otherwise, we conclude that p < 0.4. (a) Evaluate α, assuming that p = 0.4. (b) Evaluate ẞ for the alternative p = 0.3.
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- A medical researcher says that less than 82% of adults in a certain country think that healthy children should be required to be vaccinated. In a randon sample of 300 adults in that country, 78% think that healthy children should be required to be vaccinated. At a = 0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) CA. Less than 82 % of adults in the country think that healthy children should be required to be vaccinated. O B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. O C. More than % of adults in the country think that healthy children should be required to be vaccinated. O D. % of adults in the country think that healthy children should be required…A research center claims that 25% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 27% say that they would travel into space on a commercial flight if they could afford it. At a = 0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. INU TIIUIE uIOan 0 UI auuiS I uIE UUUU y vwuuIu uavci IU apauc Un a uUITIIGI LIaI Iyntrncy couIu anuIu I. O D. At least % of adults in the country would travel into space on a commercial flight if they could afford it. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State H, and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: p O B. Ha: ps OC. Ho: p> Hai p= Hai p> Ha: ps O D. Ho: pe O E. Hg:…An experimenter has prepared a drug-dose level that he claims will induce sleep for at least 70% of people suffering from insomnia. After examining the dosage we feel that his claims regarding the effectiveness of his dosage are too high. In an attempt to disprove his claim, we administer his prescribed dosage to 80 insomniacs and observe that 51 of them have had sleep induced by the drug dose. Is there enough evidence to refute his claim at the 5% level of significance? a) state null and alternate hypotheses b) find the test statistic and rejection region c) state your conclusion
- A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 292 were in favor of the increased speed limit. Do these data indicate that there is a difference in the support for in increasing the speed limit between the residents of the two counties? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 versus H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that there is a difference in the support for increasing the speed limit between the residents of the two counties?Amedical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 75% think that healthy children should be required to be vaccinated. At a= 0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below SE (a) Identify the claim and state H, and H,. ome Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) ents O A. Less than % of adults in the country think that healthy children should be required to be vaccinated. ok O B. More than % of adults in the country think that healthy children should be required to be vaccinated. Contents C. %% of adults in the country think that healthy children should be required to be vaccinated. O D. The percentage of adults in the country who think that healthy children should be…In a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of particulate pollution per gallon of fuel consumed. In another independent random sample of 80 cars driven at high altitude, 20 of them exceeded the standard. Let P 1be the true proportion of cars that exceed the standard in low altitudes and P 2be the true proportion of cars that exceed the standard in high altitudes. What is the test statistic for testing this hypothesis.
- A research center claims 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 800 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At a =0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. C No more than % of adults in the country would travel into space on a commercial ight it they could attord it. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State Ho and H Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) OA Ho: ps OB. Ho: p> OC. Ho: p H p= Ha:p> H ps VE Ho: p= 0.31 O D. Ho: p< OF H: p2 H: p2 H p 0.31 (b) Use technology to find the P-value. Identify the standardized test statistic. z= 1.22…Let’s suppose that in the U.S. population, 20% of people make more $100,000 a year. We would like to see if it is higher than this for graduates. The null and alternative hypotheses would then be H0 : u <= 0.2 Ha: > 0.2 In a survey given to a sample of graduates, we find that 38 out of 200 earned more than $100,000. What is the associated p-value of the test? a. 0.6368 b. 0.0576 c. 0 d. 0.3632A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this claim, the a random sample of 4000 people are checked and 170 are determined to have the cancer. The following is the setup for this hypothesis test: Ho p 0.05 Ha :p< 0.05 In this example, the p-value was determined to be 0.015. come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim o The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim.
- Suppose we are interested in investigating the mean of a normally distributed population. As part of the investigation, we intend to draw a sample of 1400 observations from this population and carry out a test of the null hypothesis Ho : µ =450 against a two-sided alternative hypothesis. Suppose that in reality, the population mean is 450. On average, what will the p-value equal? (Give your numeric response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer: Your AnswerA police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test: Ho :p-0.65 Ha : p < 0.65 In this example, the p-value was determined to be 0.277 come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below: O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claimA research center claims that. least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 900 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At a = 0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. Less than % of adults in the country think that their taxes will be audited. O B. % of adults in the country think that their taxes will be audited. C C. At least 31 % of adults in the country think that their taxes will be audited. O D. The percentage of adults in the country who think that their taxes will be audited is not % Let p be the population proportion of successes, where a success is an adult in the country who thinks that…