TABLE A shows the number of success data obtained from a standard and new procedure of bio engineering process of artificial human tissues. TABLE A Procedures Number of Number of success Attempts Standard procedure 120 73 New procedure 120 101 i. Carry out a hypothesis test to determine if the percentage of new procedure is better than the standard procedure at 5% level of significance. ii. Determine the p-value for the test and state your conclusion.
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- To determine whether training in a series of workshops on creative thinking increases IQ scores, a total of 70 students are randomly divided into treatment and control groups of 35 each. After two months of training, the sample mean IQ for the treatment group equals 110, and the sample mean IQ for the control group equals 108. The estimated standard error equals 1.80. Using t, test the null hypothesis at the .01 level of significance. If appropriate (because the null hypothesis has been rejected), estimate the standardized effect size, construct a 99 percent confidence interval for the true population mean difference, and interpret these estimates.Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favored the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the towns residence favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trails is run, each with a sample of 200, using the point estimate of the population the minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76. a) what is the point estimate of the population? b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? c) The margin of error of the population proportion is found using the half the range. What is the interval estimate of the true population proportion? d) is the community action groups…A random sample of 100 freshman showed 6 had satisfed the university mathematics requirement and a second random sample of 50 sophomores showed that 13 had satisfied the university mathematics requirement. Enter answers below rounded to three decimal places. (a) The relative risk of having satisfied the university mathematics requirement for sophomores as compared to freshmen is (b) The increased risk of having satisfied the university mathematics requirement for sophomores as compared to freshmen is
- A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 67 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Round your answers to four decimal places.) P'local − P'national ~ ,A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percentage. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: plocal ≠ pnational H0: plocal > pnational H0: plocal = pnational H0: plocal < pnational Part (b) State the alternative hypothesis. Ha: plocal < pnational Ha: plocal = pnational Ha: plocal ≠ pnational Ha: plocal > pnational…A recent drug survey showed an increase in use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 68 seniors reported using drugs or alcohol within the past month, while 63 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Round your answers to four decimal places.)
- A major credit card company is interested in the proportion of individuals who use a competitor’s credit card. Their null hypothesis is H0: p=0.65H0: p=0.65, and based on a sample they find a sample proportion of 0.70 and a pp-value of 0.053. Is there convincing statistical evidence at the 0.05 level of significance that the true proportion of individuals who use the competitor’s card is actually greater than 0.65 ?A recent drug survey showed an increase in use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 68 seniors reported using drugs or alcohol within the past month, while 64 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the p-value? (Round your answer to four decimal places.)A recent drug survey showed an increase in use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 62 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (Round your answer to two decimal places.)
- a study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. to investigate whether this resultapplies to its own product, the manufacturer of a national name-brand ketchup asked asample of shoppers whether they believed that supermarket ketchup was as good as thenational brand ketchup.a. formulate the hypotheses that could be used to determine whether the percentage ofsupermarket shoppers who believe that the supermarket ketchup was as good as thenational brand ketchup differed from 64%.b. if a sample of 100 shoppers showed 52 stating that the supermarket brand was as goodas the national brand, what is the p-value?a study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. to investigate whether this resultapplies to its own product, the manufacturer of a national name-brand ketchup asked asample of shoppers whether they believed that supermarket ketchup was as good as thenational brand ketchup.a. formulate the hypotheses that could be used to determine whether the percentage ofsupermarket shoppers who believe that the supermarket ketchup was as good as thenational brand ketchup differed from 64%.b. if a sample of 100 shoppers showed 52 stating that the supermarket brand was as goodas the national brand, what is the p-value?c. at a = .05, what is your conclusion?d. Should the national brand ketchup manufacturer be pleased with this conclusion?explain.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. 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 American population. find the p value