CONTINGENCY TABLES 250 0.2113 0.2925 0.8403 0.3768 0.5166 0.3900 0.7297 0.4993 0.4403 0.4632 0.8757 0.7979 0.8312 0.8522 0.8230 0.5590 0.9763 0.4295 0.4004 0.8432 0.5836 0.3003 0.3003 0.2595 0.4396 0.9329 0.2172 0.4887 0.8008 0.5337 0.4579 0.5274 0.4067 0.3686 0.5498 0.6793 0.2172 0.4995 0.9096 A die was cast 600 times with the following results. 2. 4 5 3 2 6 1 Оссиrrence 89 122 108 98 96 87 Frequency Is the die balanced? Use the number of hits for each player in Example 2 to test the null hypothesis that all 18 players have the same probability of getting a hit. Note that one assumption of the binomial distribution is that the probability is the same for all trials, and this is one way of testing 3. that assumption in Example 2. Without the aid of books or tables, attempt to write 300 random digits. Then apply the test of randomness described in Example 2 to see if you are a good random digit generator. 4. ISVP The number of babies born in Methodist Hospital last year was as follows. In the Wintes there were 36 babies born, in the Spring 45, in the Summer 42, and in the Fall 55. Test the hypothesis that the number of births is uniformly distributed over the four seasons of the year. 5. 6. Twenty-six observations were obtained, and the question arose as to whether they followed a normal distribution with mean 12 and standard deviation 3. None of the observations were below the lower quartile of this distribution, and 12 were above the upper quartile. Six were below the median, and 8 were between the median and the upper quartile. Do these observations appear to have come from the distribution described? 4.6 COCHRAN'S TEST FOR RELATED OBSERVATIONS ed Sometimes the use of a treatment, or condition, res outcomes. For example, the response to a salesperson as "sale" or "no sale," or a certain treatmentmay r Of course, if several treatments, c in number, are e independent trials, the results may be given ir table, where one row represents the numb represents the number of failures, and the n ences may be tested using a chi-squared c Section 4.2. However, it is often possible to treatments, that is, increase the power o ble