A researcher would like to test the claim that the proportion of middle-aged smokers with a lung capacityunder 3 liters is less than the proportion of senior citizen nonsmokers with a lung capacity under 3 liters. Arandom sample of 46 middle-aged smokers had 32 with lung capacities under 3 liters, and a random sampleof 46 senior citizen nonsmokers had 25 with lung capacities under 3 liters. These two independent sampleswill be used in a hypothesis test of this claim. Which test statistic formula should be used for this test?(1-₂)-(1-12)DIIOt=Ot=Oz=F3Oz=F+VT 7224d-d8d√n(P1-P₂)Submit QuestionO None of the abovepqpqVm + m(1₂) - (1-12)ofV + 72₂%5T(P1-P2)GABFS6HF6N&7UJPrtScn8FBKHome9F9End0F10P

Claim of the study;A researcher would like to test the claim that the proportion of middle-aged…

Answered: A researcher would like to test the…

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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Imagine you are a statistical consultant and your client, a weightlifting supplement company, is looking to see if their product is effective in increasing muscle mass gained over a training cycle. You randomly sampled 20 female weightlifters and assigned them to take the supplement and 20 to take a placebo. You have both groups run the same controlled training program over 12 weeks and calculated their whole body lean mass difference in pounds from the beginning to the end of the program. Can you infer that the supplement group gained more muscle mass on average than the placebo group? Use a = 0.05 for any hypothesis test. પ્રમ 1) State the research question in one sentence and use the question to determine the parameter we are using to conduct statistical inference. Describe this parameter in one sentence using symbols and a description. manu Aren
Following an oil spill, a particular region of the ocean is being tested for the level of a chemical called naphthalene. It is considered fact that fish from the region will be safe to eat if, and only if, the mean naphthalene level in the region is less than 3.3 parts per billion. A set of water specimens will be randomly selected from the region and tested, and if the results provide convinving evidence that the mean naphthalene level is less than 3.3, then the sale of fish from the region will be made legal. Which of the following describes a Type I error and its consequences? A) the authorities fail to obtain convincing evidence that the mean naphthalene level is less than 3.3, and do not legalize the sale of fish from the region when in fact the fish are SAFE for consumption. B) The definition of a Type I error depends on the actual results of the study in question C) The authorities fail to obtain convincing evidence that the mean naphthalene level is less than 3.3, and do not…
A regional planner obtains random samples of home costs from four Michigan counties. Suppose these home costs are normally distributed in each county and that home prices within each county vary about the same amount. What test should the planner use to learn if the differences in home cost by county are significant? State the null and alternative hypothesis Provide the name of the hypothesis testing method and explain why it is appropriate.
The percentage of drivers wearing seat belts in the Limpopo province was 68.5% in 2017 and 72% in 2018. Assume that these percentages are based on random samples of 1000 drivers in 2017 and 1050 in 2018. Suppose you must test at 5% level of significance whether the proportion of all drivers in Limpopo province who used seat belts in 2017 is lower than that for 2018. Determine (i) the alternative hypothesis to be tested: (ii) the value of test statistic: (iii) the p-value and conclusion
The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in high-crime areas of Miami, Florida, are being examined to test the effectiveness of the program. The difference in crimes reported is calculated as (crimes after - crimes before). You want to test whether the average number of crimes reported after are different from the average number of crimes reported before. What are the hypotheses for this test? O 11 Ho: HD 2 0 HA: HD 0 HA: HD 0
In a random sample of males, it was found that 23 write with their left hands and 225 do not. In a random sample of females, it was found that 59 write with their left hands and 470 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females.
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 187 of their customers and calculates that these customers used an average of 10,737kWh of electricity last year. Assuming that the population standard deviation is 1220kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
You come across Professor Cafferty's data set from his Master's thesis and realize that he has data on types of family support that 26 homosexual men had during young adulthood (about 18-25 years old). You come across two questions where the respondent was asked if they would identify their family as religious and whether or not they received financial support from their family. Please complete the appropriate 8-step hypothesis test using the data below. Had Financial Support Did Not Have Financial Support Family Religious 3 12 Family Not Religious 6 5
A researcher wants to determine if there is a significant difference in the number of times a new treatment for a medical condition results in relief from symptoms compared to the standard treatment. They randomly assign 20 patients to receive the new treatment and 20 to receive the standard treatment, and record the number of times each patient experienced relief from symptoms in a given period of time. The researcher uses the Wilcoxon Signed-Ranks Test to analyze the data. What is the null hypothesis for this test?
A study was done to provide data on sleep deprivation rates of Californians and Oregonians. The percent of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this percent is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states. Use California as Group A and Oregon as Group B. Round your test statistic to 2 decimal places and your p-value to 4 decimal places. Test statistic: p-value: Conclusion:
In 2018, a study was conducted that stated 22.6% of residents in Kern County live below the poverty line. Suppose you were hired to determine if that percentage has changed since the study was conducted. You randomly sample 200 residents from Kern County and find that 35 of them fall below the poverty line. Carry out the appropriate hypothesis test at the a = 0.05 level of significance to determine if the true proportion of Kern County residents that live below the poverty line is lower than what it was in 2018.
An HIV clinical trial with 1151 subjects was conducted. We will focus on two variables from this trial: IVDrug and Age. IVDrug is a categorical variable that indicates whether each subject never, previously, or currently uses IV drugs. Age lists the subject's age in year. Thus, we have age for subjects in three treatment groups. Assume that the samples were collected independently and come from a normally distributed population with equal variances. An ANOVA is used to test whether average age in the three IV drug groups is the same. A partially filled-in ANOVA table is listed below. Use a significance level of 0.05. p-value Treatment Error Total df SS MS 76.77 F 7.5586

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