Match each standardized statistic value with its corresponding p-value: z =-1.72 - p-value = z = -0.45 - p-value = z = 3.31 - p-value V 0.009 0.085 Says for later 0.653Noxious weeds are invasive plants that quickly spread and deplete the soil of nutrients that are required for all aspects of farming and ranching. With much at stake, the state of Montana has hired a team of researchers to explore the issue. They want to know the average number of noxious weeds per acre in North Central Montana. To do so, researchers divided the area of interest into 1,000,000 acres and randomly selected 24 of these acres. For each selected acre, they counted and removed the noxious weeds. The sample mean was 103.47 weeds, and the sample standard deviation was 46.034 weeds. Below is the simulated bootstrap distribution of 1,000 sample means they created from resampling the observed data. Num samples = 1000 Mean = 103.241 160 SD = 9.533 Count 80 80 100 120 140 Sample means How could you use the bootstrapped distribution to calculate a p-value to test whether the mean number of noxious weeds in North Central Montana is larger than 90 weeds per acre? Calculate the proportion of bootstrapped sample means that are equal to or larger than 90 on the bootstrap distribution above. Calculate the proportion of bootstrapped sample means that are equal to or larger than 103.47 on the bootstrap distribution above. Shift the bootstrap distribution to the left so that it's centered at 90, then calculate the proportion of shifted bootstrapped sample means that are equal to or larger than 90. Shift the bootstrap distribution to the left so that it's centered at 90, then calculate the proportion of shifted bootstrapped sample means that are equal to or larger than 103.47.The following table shows the responses from a sample of 680 people in the General Social Survey to the question, "Do you sometimes drink more than you think you should?" Drink more than should? Gender Yes No Total Male 151 177 328 Female 92 260 352 Total 243 437 680 Does there appear to be an association between gender and whether a person responds that they drink more than they should? O Yes, since there are a different number of people of each gender. Yes, since the percent that responded that they drink more than they should differs from 50%. Yes, since the proportion who responded they drink more than they should differs between males and females. O No, there does not appear to be an association between these two variables.In a study on treatments for anorexia, researchers recruited 30 teenage girls with anorexia. The girls were ranked by weight prior to the study. Of the heaviest three girls, one was randomly assigned to a "family" therapy, one to a "cognitive/behavioral" therapy, and one to a control group. The same was done for the next three heaviest girls, down to the three lightest girls. After five weeks of treatment, researchers weighed the participants. Researchers would like to determine which, if any, of the treatments are most effective in treating anorexia. If the researchers found that there were statistically significant differences in average weight across the three treatments, would they be justified in concluding that the treatments caused the changes in weights? O No, since we do not know which treatment was most effective. No, since weight was not randomly assigned. Yes, since therapy group was randomly assigned. Yes, since this was an observational study