From previous studies, it is concluded that 85% of phonenumbers in a certain city are unlisted. A researcher claimsit has decreased and decides to survey 100 adults. Test theresearcher's claim at the α = 0.05 significance level.Preliminary:a. Is it safe to assume that n < 0.05 of all subjects inthe population?NoYesb. Verify np (1 - p) > 10. Round your answer to onedecimal place.np(1 - p)Test the claim:a. Express the null and alternative hypotheses insymbolic form for this claim.Ho: ?> ? ◇Ha: ?> ? ◇b. After surveying 100 adult Americans, the researcherfinds that 35 phone numbers in a certain city areunlisted. Compute the test statistic. Round to twodecimal places.x =c. What is the p-value? Round to 4 decimals.p =d. Make a decision based on a = 0.05 significancelevel.Reject the null hypothesis.O Do not reject the null hypothesis.e. What is the conclusion?There is sufficient evidence to support theclaim that 85% of phone numbers in a certaincity are unlisted has decreased.There is not sufficient evidence to support theclaim that 85% of phone numbers in a certaincity are unlisted has decreased.

a. Yesn < 0.05 of all subjects in the population b. Yesnp̂(1-p̂) > 10Wherep̂ = sample…

Answered: From previous studies, it is concluded…

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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Do question 7,8 and 9 only The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The corresponding p-value is 0.0305 0.1212 0.3036 0.7724 Question 7 Suppose that the new study uses a level of significance of 0.05 to test the claim in Question 6. The probability of Type I error is 0.025 0.05 0.95 0.975 Question 8 Based on previous studies of school children who were vaccinated and contracted the flu, the time in hours that the flu symptoms last is assumed to follow a normal distribution with a mean of 20.7 hours and a standard deviation of 7.3 hours. The probability that a randomly selected school child has flu symptoms for more than 24 hours is 0.1628 0.3256 0.6744 0.8372 Question 9 Suppose that a random sample of 5 vaccinated school children is taken. Assuming the…
16% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 337 people from the inner city surveyed, 47 of them suffered from sleep apnea. What can be concluded at the level of significance of α= 0.05? a. The test statistic= (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)
please answer d, e, f f; accept, reject, fail to reject
I randomly sample 219 students and ask them to provide their USF GPA. I wish to determine if the average GPA of all USF students ex mu + 3.25 ceeds 3.25. Unfortunately, I generated the printout shown here: One-Sample T Test Null Hypothesis: H - 3.25 Alternative Hyp: u- 3.25 Variable Mean SE DF GPA 3.3121 0.0340 1.82 218 0.0694 Cases Included 219 What assumption is needed for this analysis to be valid? None. The Central Limit Theorem applies and no other assumptions are needed. The GPAS of all USF students need to be approximately normally distributed The mean GPA of all USF students need to be approximately normally distributed
Suppose we have a case-control study that completes and yields a study OR = 4.5. If we were told the true OR in the population was actually 2.25 (we normally wouldn’t know this, but suppose hypothetically someone was able to know this and told us), this again means our study OR is biased. Is our study OR biased towards or away from the null? A)Away from the null. B)Towards the null.
The following data represent a sample of people's smoking habits and their usage of seat belts while in a car. A researcher wants to determine whether smoking habits and seat belt usage are related. Test the researcher's claim at the a = 0.05 level of significance. No Seat Belt Seat Belt Smoke 67 448 Do not Smoke 327 2,187 *Source: Harris Poll a. Determine the null and alternative hypotheses. O Ho: Smoking habits and seat belt usage have the same distribution. Ha: Smoking habits and seat belt usage follow a different distribution. O Ho: Smoking habits and seat belt usage are independent. Ha: Smoking habits and seat belt usage are dependent. b. Determine the test Statistic. Round to two decimal places. c. Determine the p-value. Round to four decimal places. p-value = d. Make a decision. Reject the null hypothesis. O Fail to reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that smoking habits and seat belt usage are related. O…
A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 13% chose chocolate pie, and the margin of error was given as ±4 percentage poits. Describe what is meant by the statement that "the margin of error was given as ±4 percentage points." (...) Choose the correct answer below. OA. The statement indicates that the study is only 4% confident that the true population percentage of people that prefer chocolate pie is exactly 13%. OB. The statement indicates that the study is 100% -4% = 96% confident that the true population percentage of people that prefer chocolate pie is 13%. OC. The statement indicates that the interval 13% ± 4% is likely to contain the true population percentage of people that prefer chocolate pie. D. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 13% ± 4%.
Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. The overall question is: Is this sufficient evidence to say that the two true proportions are different? Assume that the p-value turns out to be .027 (again not the correct p-value for this situation but use it to answer this question). What is your decision on this hypothesis test using a 5% level of significance? O Fail to reject the null hypothesis Reject the null hypothesis
The data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median weight = 5.670 g H₁: Median weight 5.670 g More Info OB. Ho: Median weight ≤ 5.670 g H₁: Median weight = 5.670 g O D. Ho: Median weight = 5.670 g H₁: Median weight # 5.670 g 0 Post-1964 Quarters 5.5863 5.5764 5.6582 5.5649 5.5844 5.7402 5.7367 5.6057 5.5995 5.6165 5.6448 5.5974 5.6609 5.6363 5.6352 5.5986 5.5797 5.5501 5.6238 5.6462 5.6423 5.7021 5.5481 5.7078 5.6055 5.5324 5.7417 5.6776 5.5924 5.5691 5.5666 5.7287 5.6312 5.6017 5.6626 5.6436 5.6634 5.6132 5.5441 5.6363 -
A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age Weight (years) (kg) 10.5 6.5 28.5 F = 6.5 7.5 6.5 5.5 7.5 11.5 P-value = 9.5 5.5 54 |O Ho: B1 = B2 =1 40 62 55 56 62 42 40 59 51 50 H₂: at least one of B₁ or H₂: at least one of B₁ or Home-Range Size (km²) Ho: At least one of ₁ or H₂: B₁ = B₂ = 1 43.0 46.7 57.3 35.5 62.1 = weight. (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors X₁ = age and X2 (Round your numerical values to four decimal places.) ŷ 33.9 (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. ⒸH₁: B₁ = B₂ = 0 39.6 32.2 57.2 24.5 68.6 B₂ is not 0. ₂ is not 1. O Ho: At least one of ₁ or ₂ is not 0. H₂: B₁ = B₂ = 0 ₂ is not 1. Calculate the test statistic. (Round your answer to two…
A survey claims that 8 out of 10 Filipino nurses use soap "clean" for handwashing. To verify this claim, a random sample of 100 Filipino nurses is obtained. Out of these 100 nurses, 58 said that they use soap X for handwashing. Test if the claim is accurate. The level of significance is set at 0.05. Ho: The proportion Filipino n v What are the appropriate null and alternative hypotheses for this problem? ( Select ) v What is the appropriate test statistic to be used for this problem? a. z=(p-P)/V(PQ/n) b. t=(7-u)/(s/Vn) C. z=-u)/(a/Vn) d. 7tt s/Vn ( Select ) What is the critical region? ( Select ) If the computed test statistics is -8.5, what is the appropriate conclusion for this problem?

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