State NUll and alternative hypothesis b. Check the requirements c. Carry out the hypothesis test
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a. State NUll and alternative hypothesis
b. Check the requirements
c. Carry out the hypothesis test
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- A box model is used to conduct a hypothesis test for the following scenario: A marketing firm randomly selects 500 households in a town asking about their annual income. They want to test whether the percentage of households in town that have annual income above $100,000 is 50%. The SD of the ticket values in the box assuming the null hypothesis is true is best described as... a. Random and unknown; it must be estimated b. Fixed and unknown; it must be estimated c. Random and known d. Fixed and known1) A sample of n = 200 college students are asked if they believe in extraterrestrial life and 120 of these students say that they do. The data are used to test if more than half of college students believe in extraterrestrial life. a. State the null and alternative hypothesis. b. Give the P- value c. Give a conclusion for the hypothesis testGuilty or Innocent? In the U.S. court system, a defendant is assumed innocent until proven guilty. Suppose that you regard a court trial as a hypothesis test with null and alternative hypotheses H0: Defendant is innocentHa: Defendant is guilty. a. Explain the meaning of a Type I error.b. Explain the meaning of a Type II error.c. If you were the defendant, would you want a to be large or small? Explain your answer.If you were the prosecuting attorney, would you want ß to be large or small? Explain your answer.e. What are the consequences to the court system if you make a = 0? ß = 0?
- Find the P -value for the indicated hypothesis test. A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 120 of the school's students, 30% of them plan to go into general practice. Find the P -value for a test of the school's claim.What are the null and alternative hypotheses? A. H0: The two variables, x and y, are associated. Ha: The two variables, x and y, are not associated. B. H0: The variable x is dependent upon y. Ha: The variable y is dependent upon x. C. H0: The two variables, x and y, are not associated. Ha: The two variables, x and y, are associated. The P-value is (Round to three decimal places as needed.) What is the conclusion of the independence test? A. Do not reject H0. The data provide sufficient evidence of an association. B. Reject H0. The data provide sufficient evidence of an association. C. Do not reject H0. The data do not provide sufficient evidence of an association. D. Reject H0. The data do not provide sufficient evidence of an association.What is a type I and a type II error? Select one: A. A type I error is the mistake of rejecting the null hypothesis when the null hypothesis is actually true. A type II error is the mistake of failing to reject the null hypothesis when the null hypothesis is actually false. B. A type I error is the mistake of failing to reject the null hypothesis when the null hypothesis is actually false. A type II error is the mistake of rejecting the null hypothesis when the null hypothesis is actually true. C. A type I error is the mistake of rejecting the null hypothesis when the null hypothesis is actually false. A type II error is the mistake of failing to reject the null hypothesis when the null hypothesis is actually true. D. A type I error is the mistake of failing to reject the null hypothesis when the null hypothesis is actually true. A type II error is the mistake of rejecting the null hypothesis when the null hypothesis is actually false
- When conducting a hypothesis test, we hope to avoid commiting a type 1 error, which is: 1. Not as bad as committing a type 2 error 2. rejecting a null hypothesis when it is true 3. rejecting the alternate hypothesis when it is true 4. accepting the null hypothesis when the alternate hypothesis is trueWhat calculator button would be used to perform a hypothesis test if the null and alternative hypothesis are as follows: Ho: P₁ = P2 H₁ P₁ P2 Select one: O a. Z-Test... O b. 2-SampZTest... O c. T-Test... O d. 2-SampTTest O e. 2-PropZTest...2.) A packaging company advertises that their product weighs on average 16 oz. You feel the box is much lighter than this, so you run a hypothesis test. a.) State the hypotheses. b.) What would be a type l error in this situation? c.) How could you decrease your chance of making a type I error? d.) What would be a type II error in this situation?
- I. Do the following:a. State the null and alternative hypotheses, identify which represents the claim,b. Determine when a type I or type II error occurs for a hypothesis test of the claim.c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Explain your reasoning.d. Explain how you should interpret a decision that rejects the null hypothesis.e. Explain how you should interpret a decision that fails to reject the null hypothesis.ProblemAn agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days.II. Conduct a hypothesis testA research center claims that less than 50% of senior high school students in public schools in the Philippines have accessed the Internet using cellular phones. In a random sample of 100 SHS students, 39% say they have accessed the Internet using cellular phones. At = 0.01, is there enough evidence to support the researcher’s claim?(d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject H, because the test statistic is in the rejection region(s). O B. Reject H, because the test statistic is not in the rejection region(s). O C. Fail to reject Ho because the test statistic is not in the rejection region(s). D. Reject Ho because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $24,000. B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $24,000. C. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $24,000. O D. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $24,000.The alternative hypothesis, denoted by H1, represents the opposite of the null hypothesis and is believed to be true if the null hypothesis is found to be false. Select one: True O False