A group of teenagers is chosen randomly and asked which of three indoor activities they preferred. Of the 126 teenagers, 36 preferred listening to music, 16 preferred reading, and the rest preferred going online or playing video games. Do these responses indicate a preference among teenagers in general? Write the null and alternative hypotheses in words.
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- the u.S. bureau of labor Statistics reports that 11.3% of u.S. workers belong to unions(blS website, January 2014). Suppose a sample of 400 u.S. workers is collected in 2014to determine whether union efforts to organize have increased union membership.a. formulate the hypotheses that can be used to determine whether union membershipincreased in 2014.b. if the sample results show that 52 of the workers belonged to unions, what is thep-value for your hypothesis test?c. at a = .05, what is your conclusion?In a random sample of 12 undergraduate businessstudents, 6 said that they will take advanced work inaccounting. Use the 0.01 level of significance to testthe null hypothesis θ = 0.20, that is, 20 percent ofall undergraduate business students will take advancedwork in accounting, against the alternative hypothesisθ > 0.20.In the previous year, 40% of women over the age of fifty had regularly scheduled mammograms. Following last year's test, a campaign was initiated to encourage women to be tested regularly. This year, a cancer research group surveys a random sample of 450 women, and 195 respond affirmatively. With a 5% significance level, test to see if the campaign was effective. What is the conclusion? 0.0747 None of these. Reject H0 and conclude that the campaign was effective. Fail to reject H0 and conclude that the campaign was effective. Fail to reject H0 and conclude that the campaign was not effective.
- the u.S. bureau of labor Statistics reports that 11.3% of u.S. workers belong to unions(blS website, January 2014). Suppose a sample of 400 u.S. workers is collected in 2014to determine whether union efforts to organize have increased union membership.a. formulate the hypotheses that can be used to determine whether union membershipincreased in 2014.b. if the sample results show that 52 of the workers belonged to unions, what is thep-value for your hypothesis test?Due to a manufactoring error, three cans of regular soda were accidently filled with diet soda, placed into a 12-pack. Suppose that two cans were randomly selected from the 12-pack. A) determine the probabilty that that neither contain diet soda. Would this be unusual? B) Determine the probabilty that exactly one is diet.A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 75% state they would support starting the school year earlier. The P-value for the test of the hypotheses, and , is 0.04. What is the correct conclusion given ? Because the P-value is less than , the school board should reject H0. Because the P-value is less than , the school board should fail to reject H0. Because the P-value is greater than , the school board should reject H0. Because the P-value is greater than , the school board should fail to reject H0.
- In a simple random sample of 26 small business owners, 25 said that hiring college graduates makes their workplace better. Test the hypothesis that more than 81% of small business owners believe that hiring college graduates makes their workplace better at the 0.05 level. The correct conclusion is that we Select an answer: can, cannot, can maybe... conclude that Select an answer: less than, exactly more than, a percentage different from... 81% of Select an answer: randomly selected, all sampled ...small business owners believe that hiring college graduates makes their workplace better. What level of concern do you have for the validity of your results? Extreme −- we should not use any part of what we've done to make a conclusion Moderate −- the sample size is only 26, but that's likely close enough to 30 for our results to not be completely dismissed None −- all assumptions are met so there appears to be no problem with the conclusion Low −- the only assumption violated…n 2015, the average math SAT score for students at South Hanover High School was 520. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed since 2015. The hypotheses are: Ho: = 520 Ha: 520 Suppose that the results of the sampling lead to acceptance of the null hypothesis. Classify that conclusion as a Type I Error, a Type II Error, or a correct decision, if in fact the average math SAT score of students at the school is equalnotto 520.Only 19% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 363 randomly selected registered voters surveyed, 91 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: _______ (please enter a decimal) H1:H1: ________ (Please enter a decimal)
- 18% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 354 randomly selected students who receive financial aid, 74 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal)The govenor is ciriticized after they found that there is discrimination against Hispanic in the hiring process (that Hispanics are less likely to be hired than other races/ethnicities). You find that the proportion of Hispanics employed by local authorities is 7%, in a random sample of 300 public employees, while they represent 10% of the general population. Conduct a hypothesis tests of whether the governor has fair hiring practices for α = 0.02. Clearly state the null and alternative hypotheses and p-value.Recently, the number of airline companies that offer in-flight Wi-Fi service to passengers has increased. However, it is estimated that only 10% of the passengers who have Wi-Fi available to them are willing to pay for it. Suppose Gogo, the largest provider of airline Wi-Fi service, would like to test this hypothesis by randomly sampling 125 passengers and asking them if they would be willing to pay $4.95 for 90 minutes of onboard Internet access. Twenty passengers indicated they would. Using α = 0.05, anwer the following questions: a. Based on this sample, can we conclude that the proportion of airline passengers willing to pay for onboard Wi-Fi service is different than 10%? b. Determine the p-value for this test.