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1.) Part 3?

(Reject or Do not reject?)

Is the lottery lair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 147 drawings were made. For the purpose of this exercise, we grouped the numbers in to ve categories: 17, 814, and so on. If the lottery is fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that each of the categories is equally likely. Use the 0.010 level of signicance and the Pvalue method with the 1184 Plus calculator. Category \\ 17 314 1521 2223 2935 Observed \\ 25 30 34 23 35 SenddahtoEmel (a) State the null and alternate hypotheses. H1: Some or all of the actual probabilities from those specied by H". {b} nd the Pvalue. Round the answer to four decimal places. The Pvalue is -. (c) Determine whether to reject H0. Ichoose one) '1 lthe null hypothesis H0. [ A government agency computed the proportion of 0.5. residents who lived in each of four geographic regions in a particular year. Then a simple random sample was drawn of 1000 people living in the United States in the current year. The following table presents the results. SenddatatoEmel Can you conclude that the proportions of people living in the various regions changed between the current year and the past year? Use the 0.05 level of signicance and the Pvalue method with the TI84 Plus calculator. (a) State the null and alternate hypotheses. H0: The proportions of U-S. residents who lived in each geographic region in the past year the same as those in the current year. H1: The proportions of U.5. residents who lived in each geographic region in the past year the same as those in the current year. (b) nd the Pvalue. Round the answer to at least four decimal places. The Pvalue is -. Part 3 of 4 (c) Determine whether to reject H (Choose one) the null hypothesis H. Reject Do not rejectA governmental agency computed the proportion of violent crimes in the United States in a particular year falling into each of four categories. A simple random sample of 520 violent crimes committed in California during that year were categorized in the same way. The following table presents the results. ".5. California Category Proportion Frequency M u rde r 0.0 l S T Forcible Rape 0.08 3'? Robbery 0.320 200 Aggravated Assault 0.585 276 SenddatatoEmel Can you conclude that the proportions of crimes in the various categories in California differ from those in the United States as a whole? Use the 0.01 level of signicance and the Pvalue method with the 1184 Plus calculator. (a) State the null and alternate hypotheses. H0: The proportions of crimes in the various categories in California the same as those in the United States as a whole. H1: The proportions of crimes in the various categories in California the same as those in the United States as a whole. {b} nd the Pvalue. Round the answer to at least four decimal places. The Pvalue is -. Part 3 of 4 (c) Determine whether to reject Ho. (Choose one) the null hypothesis H. Reject Do not rejectNo smoking: The General Social Survey conducted a poll of 675 adults in which le subjects were asked whether they agree that the government should prohibit smoking in public places. In addition, each was asked how many people lived in his or her household. The results are summarized in the following contingency table. Household Size 1 2 3 4 5 Agree 71 110 55 31 42 No Opinion 35 51 31 26 26 Disagree 5] 62 40 31 13 Send data to Emel Test the hypothesis of independence. Use the u = 0.10 level of signicance and the Pvalue method with the TI84 Plus calculator. What do you conclude? (a) State the null and alternate hypotheses. H0: Household size and opinion independent. H1: Household size and opinion independent. {b} nd the Pvalue. Round your answer to at least four decimal places. The Pvalue is -. Part 3 of 4 (c) Determine whether to reject Ho. ( Choose one the null hypothesis Ho. Do not reject RejectAge discrimination: The following table presents the numbers of employees, by age group, who were promoted, or not promoted, in a sample drawn from a certain industry during the past year. Age Under 3|] 30-39 4-0-49 50 and Over Promoted 10 14 22 13 Not Promoted 32 31 41 28 SenddalahoEme-l Can you conclude that the people in some age groups are more likely to be promoted than those in other age groups? Use the :1 = 0.10 level of signicance and the Pyalue method with the "TI34 Plus calculator. (a) State the null and alternate hypotheses. H0: The people in all age groups equally likely to be promoted. H1: The people in all age groups equally likely to be promoted. {b} nd the Pvalue. Round your answer to at least four decimal places. The Pyalue is -. Part 3 of 4 (c) Determine whether to reject Ho. (Choose one) the null hypothesis H 0 Do not reject RejectA recent study examined the effects of carbon monoxide exposure on a group of construction workers. The following table presents the numbers of workers who reported various symptoms, along with the shift (morning, evening, or night) that they worked. Homing Shift Evening Shift Night Shift Inuenza 20 14 10 Headache 20 3'? Weakness 8 18 Shortness of Breath 9 6 11 SenddatatoEmel Test the hypothesis of independence. Use the o. = 0.01 level of signicance and the Pvalue method with the T[84 Plus calculator. What do you conclude? State the null and alternate hypotheses. H0: The shift and reported symptoms independent. H1: The shift and reported symptoms independent. This hypothesis test is a righttailed Y tES'Z- Find the Pvalue. Round your answer to four decimal places. The Pvalue is -. Part 3 of 4 Determine whether to reject H Choose one) the null hypothesis H. Reject Do not rejectPrice of eggs and milk: The following table presents the average price in dollars for a dozen eggs and a gallon of milk for each month from January through August 2013. Use the 1184 Plus calculator to answer the following. Dozen Eggs Gallon of Milk 2.01 3.47 1.94 3.43 1.80 3.52 1.65 3.43 1.77 3.47 1.96 3.54 1.69I 3.40 1.67 3.50 If Send data In Excel '3' (c) In a month where the price of eggs is above average, would you expect the price of milk to be above average or below average? Explain. I would expect the price of milk to be (Choose one) 1' average since 3" is (Choose one) 7 . nositive Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for 3 diabetic patients. The results are presented in the following table. Use a TI84 Plus calculator to answer the following. Left Foot Right Foot 85 85 75 80 83 86 87 82 73 78 89 86 76 80 80 80 if Send data to Excel ii (c) If a patient's left foot is moler than the average, would you expect the patient's right foot to be warmer pr cooler than average? Explain. I would expect the patient's right foot to be {Choose one) V (Choose one) 1 . [angler warmer Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measuredr in degrees Fahrenheit, for 8 diabetic patients. The results are presented in the following table. Use a TIB4 calculator to answer the following. Left Foot Right Foot 30 80 87 82 35 85 38 89 89 90 78 78 76 8] 39 86 (Send data to Excel ii If the left foot temperatures of two patients differ by 3 degrees, by how much would you predict their right foot temperatures to differ? Round the answer to three decimal places. The rightfoot temperatures would differ by 2.047 degrees. Predict the right foot temperature for a patient whose left foot temperature is 75 degrees. Round the answer to one decimal place. The right foot temperature is predicted to be I: degrees. Interpreting technology: The following display from the 1134 Plus calculator presents the leastsquares regression line for predicting the price of a certain stock (y) from the prime interest rate in percent (1:). a = 146872153 b = 0.33026907 3'2 = 0399867509 3" = 0.63235078 Write the equation of the leastsquares regression line. Use the full accuracy shown in the calculator output (do not round your answers}. A Regression line equation: y = 146872153 + 0.332690? X x what is the correlation between the interest rate and the yield of the stock? The correlation coefficient is 0.632.350"!!! . Predict the price when the prime interest rate is 5%. Round the answer to at least four decimal places. 1When the prime interest rate is 5%, the price is predicted to be D. Blood pressure: A blood pressure measurement oonsists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury (mmHg], for a sample of 10 adults. The following table presents the results. Use a TI84 calculator to answer the following- Systolic Diastolic Systolic Diastolic 133 91 105 6-6 112 75 15'? 103 10'? 71 154 94 110 74 134 87 103 6'9 115 33 Based on results published in the Journal of Human Hypertension SenddalatoEmel Compute the leastsquares regression line for predicting the diastolic pressure from the systolic pressure. Round the slope and yintercept to at least four decimal places. A Regression line equation: y = 3.2673 + 0.59141: Is it possible to interpret the yintercept? Explain. If the systolic pressures of two patients differ by 5 millimeters, by how much would you predict their diastolic pressures to differ? Round the answer to three decimal places. Their diastolic pressures would differ by D millimeters