Carlos and Theresa each conducted two separate but similar studies. They each had similar experimental design, similar sample sizes, similar effect sizes and the same alpha cutoff (0.05) for statistical significance. However, Theresa got a p-value of 0.01 for NHST whereas Carlos got a p-value of 0.055, which made Carlos' study not statistically significant. The two classmates were perplexed by these results. What would be your diagnosis for why Carlos' result may not be statistically significant? Select all that apply.Note: Wrong selections result in loss of 50% points on this question. Please choose wisely. a. Theresa is hiding something O b. The power of this study was lowO c. One of their results could be a false positive or a false negative O c. One of their results could be a false positive or a false negative O d. Carlos did not perform the statistical analysis carefully

The ornithologist finds that each species differs in the mean number of eggs laid, but fails to find any difference by habitat. Which plot best illustrates this finding? O a. Plot i Plot ii c. Plot iii O d. Plot iv

What type of box model is appropriate for NHST for the two-group data presented below and why? а.Ranked big-box because the two distributions are unknown O b. Re-centered two-box because the two groups might come from two different populations O c. Ranked big-box because there is such a small number of samples that it is better to combine them to make a larger list O d. Such data should be analyzed using traditional methods such as the t-test

Which of the following is/are synonymous with posterior probability, also known as the positive predictive value? Select all that apply.Note: Wrong answers result in 50% points deduction on this question. Please choose wisely. a. Prevalence O b. Sensitivity O c. Bayesian probability d. Conditional probability, P(COVID-19 | +)

The ornithologist finds that the two species lay different numbers of eggs in each of the two habitats. Surprisingly, the effect of habitat differs by species. Which plot best illustrates this finding? O a.Plot i O b. Plot ii O c. Plot i O d. Plot iv

A researcher asks whether there is an association between marital status (single, married, or divorced) and amount of time per week spent using a mobile device. Which of the followingNHSTS would be most appropriate? O a. Two-way ANOVA One-way ANOVA O c. Comparing two groups (paired) O d. Repeated measures ANOVA O e. Comparing two groups (independent samples)

Suppose there are 115,192 confirmed COVID-19 cases in California with a population of 39.5 million people, what is the prevalence? O a. 3%O b. 33.333%O c. 3 out of every 1000 peopled. 3 out of every 100 people

Your professor gives you a population of freshmen students at UCLA, and asks you to compute a 99% pivotal Cl for their mean high school GPAS. What would you do? a. I would ask a classmate and do whatever they tell me to b. Cls make sense when we have samples and not the whole population. This is an absurd task and I would respectfully let my professor know that this is not reasonable c. I would respectfully do what my professor wants because want an A in this class d. I would use the bootstrap resampling with replacement of the population 10,000 times and compute a pivotal 99% Cl from the histogram of such mean GPAS