10A claim is made that the proportion of young people in Utah, under 18 years old, who vape orsmoke at least once a day is more than 12%. A sample of n-300 subjects (youth under 18 yrs old inUtah) is randomly selected, and data shows 15.9% vape or smoke at least once a day. Assume analpha of 0.03, and answer the following questions.HO: P12% (enter correct sign(s))12% (enter correct sign(s))H1: p >The claim is H1(enter HO or H1)The critical value on the left, if there is one =enter "na")The critical value on the right, if there is one =enter "na")The test statistic =(round to 2 decimals)The result of the hypothesis test of HO isHO")Is the claim supported?(enter yes or no)(round to 2 decimals-if none,(round to 2 decimals-if none.(enter "reject HO" or "fail to reject

The given data is as follows:Sample size, Sample proportion,

Answered: A claim is made that the proportion of…

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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The safety director of a large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place. Time Number of Accidents Time Number of Accidents 8 up to 9 a.m. 10 1 up to 2 p.m. 11 9 up to 10 a.m. 9 2 up to 3 p.m. 12 10 up to 11 a.m. 12 3 up to 4 p.m. 7 11 up to 12 p.m. 6 4 up to 5 p.m. 11 Click here for the Excel Data File Using the goodness-of-fit test and the 0.10 level of significance, determine whether the accidents are evenly distributed throughout the day. H0: The accidents are evenly distributed throughout the day.H1: The accidents are not evenly distributed throughout the day. a. State the decision rule, using the 0.10 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 3 decimal places.) c. What is your decision regarding H0?
Use the results from a survey of a simple random sample of 1108 adults. Among the 1108 respondents, 84% rated themselves as above average drivers. We want to test the claim that 3/4 of adults rate themselves as above average drivers. a. Identify the actual number of respondents who rated themselves as above average drivers.
dults aged 18 years old and older were randomly selected for a survey on obesity. Adults are considered obese if their body mass index (BMI) is at least 30. The researchers wanted to determine if the proportion of southern women who are obese is less than the proportion of southern men who are obese. The results are shown in the table below. Test at the 1% level of significance. Number who are obese Sample size Men 42,773 155,525 Women 67,176 248,775 a.State the distribution to use for the test. (Round your answers to five decimal places. b. What is the test statistic c. Conduct a Hypothesis Test
According to previous studies, 12% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 14%. The student is going to take a random sample of 1650 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample. Answer the following. (If necessary, consult a list of formulas.) ✔ (a) Find the mean of p. P. 0 (b) Find the standard deviation of p. (c) Compute an approximation for P (P<0.14), which is the probability that there will be 14% or fewer left-handed people in the sample. Round your answer to four decimal places. X
A random sample of 10 independent healthy people showed the following body temperatures (in degrees Fahrenheit): 98.5, 98.2, 99.0, 96.3, 98.3, 98.7, 97.2, 99.1, 98.7, 97.2 Test the hypothesis that the population mean is not 98.6°F, using a significance level of 0.05.
Consider a researcher who is exploring new potential treatments for specific forms of cancer. This researcher is extremely focused on avoiding mistakes in concluding that treatments that may very well be effective are ineffective when conducting their research. What should this researcher do? a. set a higher alpha level b. set a higher sample mean c. set a lower alpha level d. set a lower sample mean
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.x 12.3 28.6 24.5 14.3 7.5 27.7 16.2 20.1y 23 72 39 23 15 30 15 25 a) Compute r. (Round your answer to four decimal places.)
According to a sociologist's research on U.S. residents' habits regarding religious faith, 38% of U.S. residents attend a religious service (any denomination) at least once per month. Suppose 310 U.S. residents are sampled. (Give results accurate to at least 4 decimal places.) a. Of the 310 people sampled, 132 respond that they attend a religious service at least once per month. What is the sample statistic p? p= 0.4258 b. Under the assumption that the sociologist's claim that 38% of U.S. residents attend a religious service at least once per month is valid, what is the probability that the survey in part (a) would result in a p that is at least as high as the one found? c. Under the assumption that the sociologist's claim that 38% of U.S. residents attend a religious service at least once per month is valid, what is the probability that the survey in part (a) would result in a p that is between 37% and 40%?
. Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. a. Identify the independent and dependent variables. b. In a sentence, state the null hypothesis being tested. c. Using symbols, state the null and alternative hypotheses. d. Determine the critical region using a one-tailed test with alpha = .05. e .Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). f. State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). g. Based on your analysis, is there a relationship between the drug and attention span?
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,360 1,386 Total Rooms 1,700 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let pi = population proportion of rooms occupied for current year Pa= population proportion of rooms occupied for previous year Ho : Pi - Pa H.: Pi - P2 Select your answer Select your answer b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value - Using a 0.05 level of significance, what is your conclusion? We Select your answer- vthat there has…

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