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- A random sample of 10 secretaries was asked to type a certain memorandum using both computers and typewriters, and the time required to finish the task was recorded for each secretary. A test of hypothesis will be conducted to determine if there is enough evidence to conclude that the average time required to type a certain memorandum is faster if female secretaries are using computers rather than typewriters using a 5% level of significance. What is the appropriate null hypothesis? a)The average time required to type a certain memorandum is less than or equal to if female secretaries are using computers rather than typewriters. b)The average time required to type a certain memorandum is lesser if female secretaries are using computers rather than typewriters. c)The average time required to type a certain memorandum is greater if female secretaries are using computers rather than typewriters. d)The average time required to type a certain memorandum is different if…A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 245 vinyl gloves, 61% leaked viruses. Among 245 latex gloves, 9% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. What are the null and alternative hypotheses? Identify the test statistic ___(Round to two decimal places as needed.) Identify the P-value ___(Round to three decimal places as needed.) What is the conclusion for this test? The P-value is ▼ less than, greater than the significance level alpha, so ▼ fail to reject, reject the null hypothesis. There is ▼ insufficient, sufficient evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.A Gallup poll of 195,600 employees showed that 51% of them were actively searching for new jobs. Use a 0.01 significance level to test the claim that the majority of employees are searching for new jobs. Find the null and alternative hypotheses, test statistic, P-value, critical values, and if we need to reject or fail tio reject the null hypothesis.How to solve this problem using a TI-84 Plus calculator.
- A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 57 % leaked viruses. Among 230 latex gloves, 9 % leaked viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. What are the null and alternative hypotheses? Identify the test statistic. (Round to 2 decimal places) Identify the P-value. (Round to 3 decimal places) What is the conclusion for this test?A researcher claims that the difference between the proportion of male athletes and that of female athletes in a certain university who live in osaka is far from 7.25%. 285 male athletes have been selected at random, and 113 of them reside in osaka. On the other hand, 171 female athletes have been chosen as samples, and 67 of them are from osaka as well. At alpha = 0.01, is there sufficient evidence to support the student-researcher’s claim? (use Critical value approach)A random sample of 54 students from a college are selected from a normal population with mu equal to 20 and sigma equal to 5. After a treatment is administered to the students, the researcher calculated the sample mean to be 21. Is there enough evidence to conclude that the treatment had a significant effect at the 5% significance level? What is the alternative hypothesis?
- A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 237 vinyl gloves, 70% leaked viruses. Among 237 latex gloves, 7% leaked viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. What are the null and alternative hypotheses? Identify the test statistic. (round to two decimal places as needed) Identify the P-value. (round to four decimal places as needed) What is the conclusion for this test? The P-value is ___________ ( less than/greater than) the significance level α, so __________ ( reject/fail to reject) the null hypothesis. There is ________ ( sufficient/insufficient) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.In a study of 420,110 cell phone users, 125 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.001 significance level. 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. 1. What is the test statistic? z= ______ (Round to two decimal places as needed.) 2. What is the P-value? P-value= _____ (Round to four decimal places as needed.) 3. What is the conclusion on the null hypothesis? A. Reject…A student-researcher claims that the difference between the proportion of male athletes and that of female athletes in a certain university who live in Makati is far from 7.25%. 285 male athletes have been selected at random, and 113 of them reside in Makati. On the other hand, 171 female athletes have been chosen as samples, and 67 of them are from Makati as well. At alpha = 0.01, is there sufficient evidence to support the student-researcher’s claim? (Critical value approach)
- A random sample of 10 secretaries was asked to type a certain memorandum using both computers and typewriters, and the time required to finish the task was recorded for each secretary. A test of hypothesis will be conducted to determine if there is enough evidence to conclude that the average time required to type a certain memorandum is faster if female secretaries are using computers rather than typewriters using a 5% level of significance. If the computed statistic is 1.5, what is the correct decision and appropriate conclusion at 5% level of significance. I need help in this question a)Reject Ho. There is sufficient evidence that the average time required to type a certain memorandum is faster if female secretaries are using computers rather than typewriters using a 5% level of significance. b)Do not reject Ho. There is no sufficient evidence that the average time required to type a certain memorandum is faster if female secretaries are using computers rather than…Recently, after the legalization of marijuana, a simple random sample of 552 adult females showed that 129 of them used medicinal marijuana. It has been established that in 2000, 21.6% of adult females used medicinal marijuana. Use a 0.01 significance level to test the claim that the rate of medicinal marijuana use by adult females is now higher than in 2000. Use the critical value method.In a study of 420,115 cell phone users, 128 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.001 significance level. 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.Question content area bottomPart 1Which of the following is the hypothesis test to be conducted?A.H0: p≠0.00034H1: p=0.00034B.H0: p=0.00034H1: p≠0.00034C.H0: p>0.00034H1: p=0.00034D.H0: p=0.00034H1: p<0.00034E.H0: p=0.00034H1: p>0.00034F.H0:…