Question

ONLY DO NUMBER 3 For this project you will test claims and conjectures using hypothesis testing. For each hypothesis test, report the following: The null hypothesis, H0 The alternative hypothesis, H1 The test statistic rounded to the nearest hundredth (use T Stats or Proportion Stats in StatCrunch to find test statistics) The P-value for the test (use T Stats or Proportion Stats in StatCrunch to find P-values) The formal decision (Reject H0 or Fail to reject H0, remember that reject H0 means there is enough evidence to support H1 and fail to reject H0 means there is not enough evidence to support H1. If there is not enough evidence to support H1 then the null hypothesis is not necessarily the truth. It is just one plausible explanation for what we see in the sample.) The conclusion of the test in non-technical terms (in terms of the problem at hand) Remember that each of these test is either a test for the population proportion, p, or a test for the population mean, LaTeX: \mu μ . You have to decide which is which and set up the hypotheses accordingly. Once you know what parameter you are testing (p or LaTeX: \mu μ ), then that determines which function you should use in StatCrunch to find the test statistic (either a z or a t value) and the P-value for the test. Make sure you use StatCrunch to find test statistics and P-values for these tests! Once you have the P-value for the test, you can compare the P-value to the significance level for the test and make your formal decision. Once you have your formal decision, then state what the conclusion of the test is in more non-technical terms. Note, you DO NOT have to report critical values for these tests; you can make the decision for the test using the P-value. Refer to the resources on the course home page for more information about hypothesis testing and how to use StatCrunch to find test statistics and P-values. Here is a template for reporting the answer for a sample problem. Sample problem: Use a 1% significance level to test the claim the proportion of all people who use their smart phones to watch movies is 40%. Null hypothesis: H0: p = 0.4 Alternative Hypothesis: H1: p LaTeX: \ne ≠ 0.4 Test Statistic: z = 1.67 P-value: 0.0475 Decision: Fail to reject the null hypothesis Conclusion: There is not enough evidence to conclude the proportion of all people who use their smart phones to watch movies is different from 40%. It is plausible 40% of smart phone users watch movies on their smart phones. ************************************************************************* To complete this project, use the class data and hypothesis tests to tests the claims stated below. Type your answers in a Microsoft Word or rich text file document making sure to clearly show your answers to each problem and upload your document to submit your work. Use the Grapevine Online Statistics Data File in StatCrunch shared by user sgrapevine. Assume this data is representative of all online students. Each problem is worth a total of 6 points (1 point for each correct test component). You can also earn one point for rounding as directed for a total of 43 points. Note, this is not a team project. You must submit your own original work! ONLY DO NUMBER 3 1) Use a 5% significance level to test the claim the average online student gets less than 8 hours of sleep on week nights (not on weekends). 2) Use a 1% significance level to test the claim a majority (over 50%) of online students will call "heads" will given the option to call a coin toss. 3) Use a 5% significance level to test the claim the mean foot length for online students is less than 25 cm. 4) Use a 5% significance level to test the claim the mean number of letters in the last names of online students is different from 6 letters (the most common last name size according to https://www.quora.com/What-is-the-average-length-of-last-names-in-the-United-States (Links to an external site.)Links to an external site.). 5) Use a 5% significance level to test the claim that less than 20% of online students think cats make the best pet. 6) Use a 1% significance level to test the claim the proportion of online students that pick the number 5 when asked to pick a number between 1 and 5 is different from 20%. 7) Use a 5% significance level to test the claim the proportion of online students with blue eyes is 8%. Note, the website www.aclens.com (Links to an external site.)Links to an external site.reports about 8% of the world's population has blue eyes. ONLY DO NUMBER 3

Answer 1

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