swer this one instead. A nationwide study of American homeowners revealed that 64% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. Can the value 0.64 be rejected if a survey of 4

swer this one instead. A nationwide study of American homeowners revealed that 64% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. Can the value 0.64 be rejected if a survey of 4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
In the general population, Democrats are estimated to have an average mental health index score of during this time period, with a 95% margin of error of . Respondents with MHI scores of 12 or higher are known to be at very high risk for mental health complications. Among Democrats, approximately percent are at very high risk for mental health complications. An MHI score above 7 is considered indicative of life conditions that are at least moderately stressful. Among Democrats, approximately percent are experiencing life conditions that are at least moderately stressful.
A medical research team conducted a study to test the effect of a cholesterol reducing medication. At the end of the study, the researcher found that out of the 4700 randomly selected subjects who took the medication, 301 died of heart diseases. Of the 4300 randomly selected subjects who took a placebo, 357 died of heart disease. At α = 0.01, can you conclude that the death rate due to heart disease is lower for the subjects who took the medication than those who took the placebo?
A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rate in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The test statistic is t≈5.627, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the heart rate in the 75∘F room and the heart rate in the 50∘F room is significantly not equal to…
A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rates in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The physician uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is computed as t≈5.627, which has 10 degrees of freedom. What range contains the p-value?
For a population of highly creative individuals with a creativity score µ = 60 and σ = 10, determine the percentage(s) associated with the particular z – score(s). What percentage of highly creative individuals have a creativity score below a z – score of + 1? What percentage of highly creative individuals have a creativity score below a z – score of + 2? What percentage of highly creative individuals have a creativity score below a z – score of + 1? What percentage of highly creative individuals have a creativity score below a z- score of – 1? What percentage of highly creative individuals have a creativity score below a z – score of – 2? What percentage of highly creative individuals have a creativity score above a z – score of – 2? What percentage of highly creative individuals have a creativity score above a z – score of – 1?
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The Department of Health wishes to determine the percentage, p, of the general population who are infected by Cooties during a recent outbreak. The test for Cooties is known to be 99% accurate given that a patient is infected and 90% accurate given that a patient is not infected. The results of the tests are returning at 15% positive.
A certain training device measures reaction times of users by illuminating lights, one at a time, and measuring the time it takes the user to press each light to turn it off. The makers of the device are marketing it for high-level training, saying that even among professional athletes, the proportion who can score the top ranking of "light speed" is less than 22% . As a fitness trainer who wants to buy the device to attract more customers, you want to feel comfortable that the claim made by the makers is correct. To test the claim, you decide to perform a hypothesis test. To do so, you rent the device and have a random sample of 130 professional athletes use it; 26 score a ranking of "light speed." You confirm that it is appropriate to perform a Z -test. Why is a Z -test appropriate? Find z , the value of the test statistic for your Z -test. Round your answer to three or more decimal places. =z
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Previous research has established that nationwide, for older adults, the average score on the Beck Depression Inventory (BDI-II) is 8.13 with σ = 1.56. A researcher working in a nursing home wants to know if depression levels are different for older adults living in a nursing home compared to older adults nationwide. He takes a random sample of 200 adults living in a nursing home facility and gives them each the BDI-II. The average for his sample is 8.45. Is there a difference in the BDI-II scores of those living in a nursing home compared to those living in their own homes? Test with an a = 0.01.
Dr. Castillejo feels that the maximum pulse rate (from 152 bpm to 196 bpm) during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if the pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commanderoutput below, Give the expected oxygen consumption if the maximum pulse rate is 160 bpm