14/29851#/skip/23 The following data represent the level of happiness and level of health for a random sample of individuals from the General Social Survey. A researcher wants to determine if health and happiness level are related. Use the a = 0.05 level of significance to test the claim. Health Excellent Good Fair Poor Very Happy 271 261 82 20 Pretty Happy 247 567 231 53 Not Too Happy 33 103 92 36 *Source: General Social Survey 1) Determine the null and alternative hypotheses. Select the correct pair. OH, :Health and happiness are independent H: Health and happiness are dependent OH, Health and happiness have the same distribution Ha: Health and happiness follow a different distribution 2) Determine the test Statistic. Round your answer to two decimals. x. = 3) Determine the p-value. Round your answer to four decimals. p-value = 4) Make a decision. Reject the null hypothesis Fail to reject the null hypothesis Question 24 Pain medications sometimes come with side effects. One side effect is dizziness. A researcher wanted to determine if some pain medications produced more or less dizziness than others. The results from his study are shown in the table below. Tordol Placebo Naproxen Tylenol Advil Dizziness 83 32 36 5 8 No dizziness 4063 1832 1330 382 337 What type of test would you use to determine if the proportion of people within each treatment group who experienced dizziness are the same? Test for Independence O Test for Homogeneity Goodness of Fit Question 26 > The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 4 pts 10 11.6 8.4 6.7 3.6 2.6 2.5 2.6 0.4 14.1 11.5 9.5 7.4 6.5 6.1 6.1 4.1 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the linear equation y= 0.88x +3.94 a. How many murders per 100,000 residents can be expected in a state with 8 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents b. How many murders per 100,000 residents can be expected in a state with 1.6 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents Question 32 < > Fill in the missing values for this ANOVA summary table: Add Work S.S. d.f. M.S. F Between 2673.568 4 Within TOTAL 4823.568 29 > Next Question 13 Question 33 < > This problem demonstrates a possible (though rare) situation that can occur with group comparisons. The groups are sections and the dependent variable is an exam score. Section 1 Section 2 Section 3 59 22.2 56.8 62.7 58.3 59.3 40.3 35.4 51.9 57 41.2 52.7 45.3 43.6 45.6 53.3 61.9 41.9 48.4 19.6 50.1 54.2 46.4 43.6 46.4 36.3 53.3 Run a one-way ANOVA (fixed effect) with a = 0.05. Round the F-ratio to three decimal places and the p- value to four decimal places. Assume all population and ANOVA requirements are met. F 11 What is the conclusion from the ANOVA? O reject the null hypothesis: at least one of the group means is different fail to reject the null hypothesis: not enough evidence to suggest the group means are different 12 pts