Suppose that the proportion of all American adults that fit the medical definition of being obese is 0.23. A large medical clinic would like to determine if the proportion of their patients that are obese is higher than that of all American adults. The clinic takes a simple random sample of 30 of their patients and finds that 9 patients in the sample are obese. The researchers created the following simulated null distribution with 1000 trials using the One Proportion applet: Distribution of Count in Groupl 150 100 Frequency N 6 8 10 12 14 1 2 13 4 5 6 7 8 9 10 11 12 13 14 15 Counts 4 12 51 81 145 174 175 122 109 73 29 19 4 1 1 If the clinic had collected a sample of 100 patients instead of 30, would the standard deviation of the simulated null distribution increase, decrease, or remain the same? O Increase O Decrease O Remain the same