EBK BUSINESS STATISTICS
8th Edition
ISBN: 9780135179833
Author: STEPHAN
Publisher: VST
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The College of Graduate Studies at MNSU claims that more than 60% of
undergraduate students at this university will go to graduate school. You take a
survey 500 undergraduate students and 310 say they will go to graduate school.
Conduct a hypothesis test with a 1% significance level. Is the College of Graduate
Studies claim accurate? Assume the population data is normal.
According to an article in Bloomberg Businessweek, New York City's most recent adult smoking
rate is 14%. Suppose that a survey is conducted to determine this year's rate. Nine out of 70
randomly chosen N.Y.C residents reply that they smoke. Conduct a hypothesis test to determine if
the rate is still 14% or if it has decreased? Does the data support the claim at the 5% significance
level? Upload your work as a picture.
Be sure to include your 1) Decision (reject or accept the null), 2) Reason for the decision and 3)
Conclusion (write in a complete sentence) (Just like examples)
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
(Be sure to state all the 5 steps involved in a hypothesis testing, Hypothesis, Observed statistic, p-value and its interpretation, decision and conclusion in context of the problem).
b. Is the Test Significant. Why or Why not.
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- List the sample space of each experiment. Picking a one-digit numberarrow_forwardA study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Click the icon to view the data table. Determine the null and alternative hypotheses. i More Info O A. Ho: The amount of smoking is dependent upon seat be H: The amount of smoking is not dependent upon sea B. Ho: The amount of smoking is independent of seat belt H4: The amount of smoking is not independent of seat Number of Cigarettes Smoked per Day 1-14 15-34 35 and over O C. Ho: Heavy smokers are not less likely than non-smoke Wear Seat Belts 183 30 47 8 H1: Heavy smokers are less likely than non-smokers to Don't Wear Seat Belts 157 17 37 11 D. Ho: Heavy smokers are less…arrow_forwardAccording to the Center for Disease Control website, in 2011 more than 18% of high school students have smoked a cigarette. An Introduction to Statistics class in Davies County, KY conducted a hypothesis test at the local high school (a medium sized–approximately 1,200 students–small city demographic) to determine if the local high school’s percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the 150 students surveyed, 82 have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions. You will need to specify the appropriate hypothesis, use either the Wilson CI or prop.test in R to test the hypothesis. Please state your conclusion in the given context. For the conclusion, please use the following template. If you reject the null writeSince p-value is [write the value of your p-value] and is less than [write the value of alpha inpercent] we reject the null hypothesis at…arrow_forward
- According to an article in Forbes magazine of April 3, 2014, 57% of students said that they did not attend the college of their first choice due to financial concerns (www.forbes.com). In a recent poll of 1600 students, 864 said that they did not attend the college of their first choice due to financial concerns. Using a 1% significance level, perform a test of hypothesis to determine whether the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%. a. Write the null hypothesis and the alternative hypothesis. O Ho: p = 0.57 Hạ: p 0.57 b. What is the value of the test statistics? ( round your answer to two decimal places = c. What is the p-value? ( round your answer to four deciml places) d. What is your conclusion? O Do not reject the null hypothesis. There is sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial…arrow_forwardAccording to the Center for Disease Control website, in 2011 at least 18% of high school students have smoked a cigarette. An Introduction to Statistics class in a town conducted a hypothesis test at the local high school (a medium sized—approximately 1,200 students—small city demographic) to determine if the local high school's percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the 150 students surveyed, 85 have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the p-value. (Round your answer to four decimal places.)arrow_forwardAccording to the Center for Disease Control website, in 2011 at least 18% of high school students have smoked a cigarette. An Introduction to Statistics class in a town conducted a hypothesis test at the local high school (a medium sized—approximately 1,200 students—small city demographic) to determine if the local high school's percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the 150 students surveyed, 88 have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the p-value. (Round your answer to four decimal places.) State alpha. (Enter an exact number as an integer, fraction, or decimal.)arrow_forward
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