, . , and . Thus, , then , so we couldn’t reject . (Under , there are 5 unknown parameters, since , thus the df of chi-square distribution is 5) , this is where comes from. , and they both use as threshold, so 2 approaches are equivalent. In the following two approaches (3 & 4), the alternative hypothesis is that the distribution is still binomial but p, the probability of giving birth to a son at each single birth, does not necessarily have to be 0.5. Approach 3 -- the distribution is still binomial but p, the probability of giving birth to a son at each single birth, does not necessarily have to be 0.5 * Approach 3 is the likelihood ratio test for one population proportion with large sample approximation. ,
, . , and . Thus, , then , so we couldn’t reject . (Under , there are 5 unknown parameters, since , thus the df of chi-square distribution is 5) , this is where comes from. , and they both use as threshold, so 2 approaches are equivalent. In the following two approaches (3 & 4), the alternative hypothesis is that the distribution is still binomial but p, the probability of giving birth to a son at each single birth, does not necessarily have to be 0.5. Approach 3 -- the distribution is still binomial but p, the probability of giving birth to a son at each single birth, does not necessarily have to be 0.5 * Approach 3 is the likelihood ratio test for one population proportion with large sample approximation. ,
Quiz9.docx