Hypothesis test for a populatioAmong college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series ofdebates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than75%. A poll is commissioned, and 217 out of a random sample of 275 college students say they're interested in their district's election results. Is there enoughevidence to support the political scientist's claim at the 0.01 level of significance?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H and the alternative hypothesis H₁.HOH₁ :0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)0(d) Find the critical value. (Round to three or more decimal places.)0(e) Is there enough evidence to support the political scientist's claim that theproportion of college students who say they're interested in their district'selection results is more than 75%?OYes NoHX0=0XOS00OSOOOuM

given data, n=275x=271α=0.01claim:p>0.75we shold complete the hypothesis testing for the given…

Answered: Among college students, the proportion…

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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Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
A survey asked 827 randomly sampled registered voters in California to select a response best fitting their opinion about drilling for oil and natural gas off the coastline of California. Response options include (1) Support, (2) Oppose, or (3) Do not know enough to answer. Data was disaggregated along whether respondents were college graduates or not. Here's the data: Support Drilling Oppose Drilling Doesn't Know Graduated College 154 180 104 Didn't Graduate College 132 126 131 Does this data show a statistically significant difference in the support of drilling between those who graduated college and those who didn't?
Sample surveys on sensitive issues can give different results depending on how the question is asked. A University of Wisconsin study randomly divided 2400 respondents into three groups. All participants were asked if they had ever used cocaine. One group of 800 was interviewed by phone; 21% said they had used cocaine. Another 800 people were asked the question in a one-on-one personal interview; 25% said “Yes.” The remaining 800 were allowed to make an anonymous written response; 28% said “Yes.”101. Was this an experiment or an observational study? Justify your answer.2. Make a two-way table of responses about cocaine use by how the survey was administered.3. Are the differences between the three groups statistically significant? Give appropriate evidence to support your answer
Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 75% . After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 75% . A poll is commissioned, and 207 out of a random sample of 275 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.01 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round…
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
The National Study of the Changing Work Force conducted a study of 2958 wage and salaried workers on issuesranging from relationships with their bosses to household chores. The data were gathered through hour-longtelephone interview with a nationally representive sample. In response to the questions “What does your job meanto you?” 1538 people responded that they “Receive personal satisfaction from success at work.” Let p be thepopulation proportion of people who receive personal satisfaction from success at work. (a) Find a 95% CI for the true value of p. (b) How large of sample is needed if we wish to be 99% confident that the sample proportion of p is within1% of the true population proportion.
You are told that the proportion p-hat of those who answered "yes" to a poll about internet use is p-hat = 0.70, and the standard error of the proportion is 0.0458. What was the sample size?
Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?
The National Football League (NFL) is conducting a survey of fan behavior by collecting a random sample of 240 NFL fans. One question asks fans if they have ever participated in a violent act in or around their favorite team's stadium. Nationally, 28% of NFL fans have participated in a violent act around their team’s stadium. The research finds that 14% of Green Bay Packers fans have committed a violent act on game day. Conduct a significance test to answer the research question: Is there a significant difference (a=.05) in the proportion of Green Bay Packers fans compared to the rest of the NFL fans that have participated in a violent act? What is the obtained score? What is the P-Value?

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