1. At a Midwestern hospital there were a total of 932 births in 20 consecutive weeks. Of these births, 216 occurred on weekends. Do these data reveal more than chance deviation from random timing of the births (weekday and weekend)? Use = 0.05.
2. Exercise 14.36 (p. 620-621) Physical Fitness in the U.S. A survey was conducted to investigate the interest of middle-aged adults in physical fitness programs in Rhode Island, Colorado, California, and Florida. The objective of the investigation was to determine whether adult participation in physical fitness programs varies from one region of the United States to another. A random sample of people were interviewed in each state and these data were recorded: Rhode Island Colorado California Florida Participate 46 63 108 121 Do not participate 149 178 192 179 Do the data indicate a difference in adult participation in physical fitness programs from one state to another? If so, describe the nature of the differences.
3. Exercise 14.40 (p.621) Baby’s sleeping position. Does a baby’s sleeping position affect the development of motor skills? In one study, 343 full-term infants were examined at their 4-month checkup for various developmental milestones, such as rolling over, grasping a rattle, and reaching for an object. The baby’s predominant sleep position-either prone (on the stomach) or supine (on the back) or side-was determined by a telephone interview with the parent. The sample results for 320 of the 343 infants for whom information was received are shown in the table. The researcher reported that infants who slept in the side or supine position were less likely to roll over at the 4-month checkup than infants who slept primarily in the prone position. (P<0.0001). Prone Supine or side Number of Infants 121 199 Number who roll over 93 119 a.) Use a large-sample z-test to confirm or refute the researcher’s conclusion. b.) Rewrite the sample data as a 2×2 contingency table. Use the chi-square test for homogeneity to confirm or refute the researcher’s conclusion. c.) Compare the results of part a and b. Confirm that the two test statistics are related as z2=X2 and that the critical values for rejecting H0 have the same relationship.
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