Question 12: Previous data shows that 55% of adult males lose their hair. You believe the actual percentage is different. To test your theory, you collect data from a sample of 120 adult males and find that 72 losing their hair. Test your hypothesis at the 0.05 level of significance. Part A: State the null and alternate hypotheses. Part B: State and sketch the rejection region. Part C: Determine the test statistic. Part D: Determine the p-value. Part E: Draw a conclusion.
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- Follow the 5 steps in hypothesis testing to solve the problem. Show necessary solution. 5 STEPS IN HYPOTHESIS TESTING: Step 1: Null and Alternative Hypothesis Step 2: Statistical Test Step 3: Critical Regions Step 4: Computation Step 5: Decision and ConclusionCompare statistical testing with legal methods used in a U.S. court setting. Then discuss the following topics in class or consider the topics on your own. Please write a brief but complete essay in which you answer the following questions. (a) In a court setting, the person charged with a crime is initially considered to be innocent. The claim of innocence is maintained until the jury returns with a decision. Explain how the claim of innocence could be taken to be the null hypothesis. Do we assume that the null hypothesis is true throughout the testing procedure?What would the alternate hypothesis be in a court setting?(b) The court claims that a person is innocent if the evidence against the person is not adequate to find him or her guilty. This does not mean, however, that the court has necessarily proved the person to be innocent. It simply means that the evidence against the person was not adequate for the jury to find him or her guilty. How does this situation compare with a…A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is larger. 149 of the 266 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: Ho: ? p μ Select an answer ≤ = < ≥ ≠ > (please enter a decimal) H1: ? p μ Select an answer > ≥ ≤ = < ≠ (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.)
- please answer d, e, f f; accept, reject, fail to rejectA news article that you read stated that 54% of voters prefer the Democratic candidate. You think that the actual percent is larger. 129 of the 212 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer v (please enter a decimal) H1:|? v|| Select an answer v (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly larger 54% at a = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 54%. O The data suggest the…In 1970, 590 students among 1000 randomly selected college freshmen thought that capital punishment should be abolished. In 2005, 350 students among 1000 randomly selected college freshmen thought that capital punishment should be abolished. What is the two-sample z test statistic for evaluating the null hypothesis that the percentage of students who support capital punishment did not change from 1970 to 2005? Round your answer to two decimal places.
- fill in blanks please!A news article that you read stated that 51% of voters prefer the Democratic candidate. You think that the actual percent is larger. 139 of the 262 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: Ho: ? μ p Select an answer = ≠ > < (please enter a decimal) H1: ? p μ Select an answer < = ≠ > (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger 51% at αα = 0.10, so there is sufficient…practice question #9. A sample of 340 randomly selected adult Americans were asked this question: “Do you use a remote start for your vehicle during the Winter?” 117 answered “yes.” Based on this, is it reasonable to assume that more than 33% of adult Americans use a remote start during the Winter? Set up the relevant hypotheses, show the sample is appropriate for this test, calculate a test statistic and P-value, decide whether or not to reject the null hypothesis, and put your conclusion in context of the scenario. Round P-value to 4 decimal places and test statistic to 2 decimal places. Use ∝= .05. Hypotheses: Address appropriateness of size: Value of test statistic: ________________________________ P-value: ________________________________ State your conclusion in the context of the problem.
- Use the random sample data to test the claim that 72% of students have internet access at home. Use 5% level of significance. Sample data: x = 158, n = 200 1. Identify the tail of the test. 2.Find the P-value 3.Will the null hypothesis be rejected? 4. Is the initial claim supported?(b) (c) (d) What is the value of the sample test statistic? Find (or estimate) the P-value. Based on your answers in parts (a) to (c), will you reject or fail to Teject the null hypothesis? Are the data statistically significant at level a? 6. Professor Jennings claims that only 35% of the students at Flora College work while attending school, Dean Benata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 76 students shows that 36 have jobs. Do the data indicate that more than 35% of the students bave jobs? Use a 5% level of significance. What are we testing in this problem? i) single proportion ii) single mean a) What is the level of significance? State the null and alternate hypotheses. what sampling distribution will you use? What assumptions are you making? b) What is the value of the sample test statistic? c) Find (or estimate) the P-value. d) Based on your answers in parts (a) to (c), will you reject or fail to…Provide an appropriate response. Test the hypothesis that p1 = P2. Use a = 0.05. The sample statistics listed below are from independent samples. Sample statistics: n1 = 50, x1 35, and n2 = 60, x2 = 40 Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis: Step 5) Write the conclusion. HTML Editor BIUA A、IE三= Ex x E 曲。 12pt Pa SAMSUNG 10