An NPR report claims that lower GPA's are associated with students who watch a higher number of hours of television. You sample 10 students, and get the following data: GPA 3.1 2.4 2.0 3.8 2.2 3.4 2.9 3.2 3.7 3.5 Hrs. TV 14 10 20 7 25 9. 15 13 4 21 Can we say that there is a significant negative correlation among the data? (a = .10)

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use a hypothesis test to determine if the proportions are statistically different. A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180high school teachers, 36 were single. Is the proportion of high school teachers who were single greater than theproportion of elementary teachers who were single? Use ΅ = 0.01.

Dr. Ferreira's research examines how intimate couples view their relationship. Dr. Ferreira asked each member of the couple to rate their happiness with the relationship and these data are below. Dr. Ferreira wants to know whether men or women have a more positive view of their relationship. What can Dr. Ferreira conclude? Show your work (Hypotheses, Statistical Test, Decision, & Conclusion). Data: Couple ID 1 2 3 4 5 6 7 8 9. 10 Мean Standard Deviation Male 12 10 15 8 14 18 9 7 14 11.3 3.92 Female 8 7 6 11 11 | 15 4 7 6 | 3 7.8 3.61 Difference 4 3 9. -3 3 3 2 1 11 3.5 3.95 2.

Make the decision for the hypothesis test. Reject null hypothesis Fail to reject null hypothesis

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level. Based on a sample of 80 men, 25% owned catsBased on a sample of 40 women, 50% owned catsThe test statistic is:  (to 2 decimals)The p-value is:  (to 2 decimals)

Hypothesis Testing: Means and Proportions According to a 2017 survey, 80% of Americans used at least one type of social media regularly in 2017. Rodrigo wants to know if this percentage has decreased since then, so he collects some data. He randomly samples 200 people and finds that 154 of them still use at least one type of social media currently. Test the claim that less than 80% of Americans currently use at least one type of social media regularly. Use the 0.05 significance level.

Let’s take another look at the dinosaur example from the first part of the exam. Go ahead and figure out if smoking causes deaths in dinosaurs. Do not forget to follow all the steps of a hypothesis test; use =0.05, write out the conclusion.     Smoking   Die   yes no TOTAL yes 1845 97 1942 no 496 1359 1855 TOTAL 2341 1456 3797

Hypothesis testing will consist of four hypothesis tests which you need to complete. each test will require the following: Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:

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