a) State the appropriate null and alternate hypotheses. b) Compute the value of the test statistic. c) State a conclusion.
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- In an analysis of the results of telecommunication students, the examining board classified the results as either credit, pass or discontinued. Further, the board analyzed the students’ method of study which was either full-time, part-time or private. An employee of the board cross-classified the examination results and the method of study of 300 students. He then computed a test statistic of 42.28 Required: i) State the null and alternative hypotheses that should be tested. ii) What conclusion can be drawn from the results of the data? (use α = 0.05)Santa Claus and North Pole Inc. currently receive a generous tax credit from the US Government, provided that at least 74% of American children believe in Santa Claus. The IRS is auditing the company, and believes that perhaps fewer than 74% of American children currently believe in Santa Claus (and thus, the company should no longer qualify for the tax credit). The auditor is conducting a hypothesis test at the α=0.05α=0.05 level of significance to determine whether or not they should qualify for the credit.Which would be correct hypotheses for this test? H0:p=0.74H0:p=0.74, H1:p≠0.74H1:p≠0.74 H0:p=0.74H0:p=0.74, H1:p>0.74H1:p>0.74 H0:p<0.74H0:p<0.74, H1:p=0.74H1:p=0.74 H0:p=0.74H0:p=0.74, H1:p<0.74H1:p<0.74 H0:p≠0.74H0:p≠0.74, H1:p=0.74H1:p=0.74 A random sample of 103 children resulted in 34 that said they currently believed in Santa Claus. Find the test statistic (2 decimals):Give the P-value (4 decimals - if less than 0.001, answer 0):Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 697 randomly selected adults showed that 65% of them would erase all of their personal information online if they could. b. Identify the null and alternative hypotheses.
- When the 2000 GSS asked whether human beings developed from earlier species of animals, 53.8% of 1095 respondents answered that this was probably or definitely not true. Question: What is the null and alternative hypothesis for this questionAs a result of complaints from both students and faculty about lateness, the registrar at a large university is ready to undertake a study to determine whether the scheduled break between classes should be changed. Until now, the registrar has believed that there should be 15 minutes between scheduled classes. What are the null and alternative hypotheses?A popular referendum on the ballot is favored by more than half of the voters. Write the null and alternative hypotheses.
- 2. In a 2009 nonscientific poll on the Web site of the Daily Gazette of Schenectady, NewYork, readers were asked the following question: “Are you less inclined to buy a GeneralMotors or Chrysler vehicle now that they have filed for bankruptcy?” Of the respondents,56.1% answered “Yes” . In a recent survey of 1200 adult Americans who were asked thesame question, 615 answered “Yes.” Can you reject the null hypothesis at the 1%significance level in favor of the alternative that the percentage of all adult Americanswho are less inclined to buy a General Motors or Chrysler vehicle since the companiesfiled for bankruptcy is different from 56.1%? Use both the p-value and the critical-valueapproaches.Is there a difference between community college statistics students and university statistics students in what technology they use on their homework? Of the randomly selected community college students 55 used a computer, 88 used a calculator with built in statistics functions, and 20 used a table from the textbook. Of the randomly selected university students 47 used a computer, 85 used a calculator with built in statistics functions, and 36 used a table from the textbook. Conduct the appropriate hypothesis test using an αα = 0.10 level of significance. What is the correct statistical test to use? Goodness-of-Fit Paired t-test Homogeneity Independence What are the null and alternative hypotheses?H0:H0: Type of student and type of technology used for statistics homework are dependent. The distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for…A newsletter publisher believes that over 68% of their readers own a personal computer. Is there sufficient evidence at the 0.02 level to substantiate the publisher's claim? State the null and alternative hypotheses for the above scenario.
- Is there a difference in the car brand's countries for Midwesterners and people from the west coast? Of the 170 randomly selected Midwesterners surveyed 50 had an American car, 100 had a car from Asia, and 20 had a cars from another country. Of the 159 randomly selected people from the west coast who were surveyed, 44 had an American car, 81 had a car from Asia, and 34 had a car from outside of the US and Asia. Conduct the appropriate hypothesis test using an αα = 0.05 level of significance. What is the correct statistical test to use? Goodness-of-Fit Independence Paired t-test Homogeneity What are the null and alternative hypotheses?H0:H0: Address and car brand's countries are dependent. The distribution of car brand's countries is not the same for Midwesterners and people from the west coast. Address and car brand's countries are independent. The distribution of car brand's countries is the same for Midwesterners and people from the west coast. H1:H1: The distribution…3. According to a Pew Research poll conducted in March 2022, 61% of U.S. adults say abortion should belegal in all or most cases. They used a random sample of n=10,441 people where 6369 said that abortionshould be legal in all or most cases. Test the claim that more than 61% of U.S. adults believe that abortionshould be legal in all or most cases, using a 0.05 significance level.a. Null and alternative hypothesis (give both in symbolic form and sentence form):b. Test statistic and p-value (show the calculation or show what you entered into the calculator(screenshots are ok here)):c. Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesisWhy did you choose to reject or fail to reject the null hypothesis?d. Nontechnical conclusion addressing the original claimFor safety reasons, calf dehorning has become a routine practice at dairy farms. A report by a continental government organization stated that 80% of that continent's dairy farms carry out calf dehorning. A later study, published in a reputable dairy science journal, found that in a sample of 635 dairy farms in the continent, 513 dehorn calves. Does the journal's study support or refute the figure reported by the government organization? Explain. Test the relevant hypotheses using a = 0.05.
