Suppose M₁ and M₂ are two models where from prior knowledge we believe P(M₁) = 0.25 and P(M₂) = 0.75. We then observe a data set D. Given each model the likelihood of D is P(D|M₁) 0.5 and P(DM₂) = 0.01. Given data D which model has a higher accuracy, or probability to be correct?
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- I am struggling in my Psyc 300 Statistic class. I seem to have missed a concept early in our class and now the following homework problem has left me lost. One Sample t-test 1. A professor wants to know whether her students’ GPAs differ from the entire student population at the University ( She records 20 of her students’ GPAs and compares the mean ( = 3.25, sd = 0.85) to the population, predicting that her students will have different GPAs than the University population. Using an alpha of .05, perform an appropriate t- test. Hypothesis: tthreshold= df = tobs = Conclusion:1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.Table 4 above is displaying odds ratios for each predictor estimated by a multivariablelogistic regression model with all 6 predictors included at the same time. Based onthis model, what is the minimum number of in-hospital deaths they should have intheir dataset? A) 30 B) 50 C) 60 D) 70
- 4. When the Titanic sank in 1912, there were over 1,300 passengers aboard. A random sample of 50 passengers that were aboard is taken. The amount they paid for the voyage and whether or not they survived is recorded. A model is fit to predict the probability they survived when the ship sank is obtained. Survived Logistic Fit of Survived By Fare 1.00 0.75 0.50- 0.25- 50 4 Parameter Estimates 100 Term Intercept -1.404254 0.4353289 Fare 0.01246686 0.0097945 For log odds of Yes/No Fare Estimate Std Error ChiSquare 10.41 1.62 150 200 Prob> ChiSq 0.0013 0.2031 No Yes a) Suppose someone paid a fare of 25 pounds. Predict the probability they survived. b) How much would someone pay to have at least a 65% chance of survival?A B C D X₁. 12 20 10 10 X₂ 28 24 26 18 A researcher is interested in seeing if listening to a political debate changes anxiety scores among people. The researcher knows of no previous research that would predict whether anxiety scores would be raised or lowered. The researcher gathers a sample of n = 4, and gives these participants an anxiety test before and after listening to the political debate. Below are the data (anxiety scores) at time one (X₁) and time two (X₂) for all participants. Participant b.) Is this a one or a two-tailed test? c.) Find the critical value (alpha = .05) a.) State the researcher's null and alternative hypotheses (using symbols OR everyday language): I d.) Compute the observed test statistic (remember to show your work) 5 e.) Based on the information above, what is your statistical conclusion? a I 6 HH 17Answer #2
- 3. A social worker is interested in examining how people who have higher levels of psychological resiliency respond after a natural disaster. She obtained anxiety scores, which were measured on a scale of 1-12 with higher numbers meaning more anxiety, from eight individuals who had experienced a natural disaster. She collected these scores 3 weeks after the disaster (M=8.63) and 6 months after the disaster (M=4.38). She expected that the anxiety scores at 6 months would be much lower than at 3 weeks. If sD = 1.16 and you use a two-tailed test with an alpha of .05, is there a difference? Perform the 4 steps of hypothesis testing. %3D Anxiety at 3 Anxiety at 6 weeks 12 months 7 4 10 11 8. 5 6146 NI5 797 50A police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups. Identify the correct symbolic notation for the alternative hypothesis. A. H0: µ1 = µ2 B. HA: µ1 ≠ µ2 ≠ µ3 C. H0: µ1 = µ2 = µ3 D. HA: µ1 ≠ µ2Suppose you are fitting a survival model and the outcome of interest is time to the diagnosis of cancer (T). A subject entered the study at t=0 and the diagnosis of cancer did not occur by the end of the study period, what kind of event is that? It is an interval-censored observation because an event happened between time of entry and the exit. It is a right-censored observation because no event will be observed during the study period. It is a left-censored observation where the event of interest happened before the study starts. It is a right-censored observation because the event has already occurred.
- 2. This question is about logistic regression. The outcome variable is success (1=success, 0=failure), and we have two groups of observations: group A and group B. a. Assume that on average, the odds of success is x for group A members. What is the average probability of success (p) for group A? Please write down p as a function of x. Given an x, is there a unique p? b. Assume that on average, the odds ratio for success of group A over group B is 2. The average probability of success for group A is pA and that the average probability of success for group B is pg. Is the set of Paand pg unique? c. The logistic regression of success ~ group (link=logit) returns a coefficient estimate of -1.3863 for the dummy variable group (1=group A, 0=group B). Interpret this coefficient estimate.It seems that of engaged women buy a wedding dress at least one size smaller than their current size. Why? Cornell researchers reported an alarming tendency for women who are engaged to sometimes attempt to lose an unhealthy amount of weight prior to their wedding (Neighbors & Sobal, 2008). The researchers found that engaged women weighed, on average, 152.1 pounds. The average ideal wedding weight reported by 227 women was 136.0 pounds. The data below represent the fictional weights of eight women on the day they bought their wedding dress and on the day they got married. Did women lose weight for their wedding day? Dress purchase Wedding day 163 158 144 139 151 150 120 118 136 132 158 152 155 150 145 146 Conduct the six steps of hypothesis testing using a one-tailed test and an alpha level of 0.05. Report the test statistic in APA format. Calculate the confidence interval for the paired-samples t test that you conducted in part (a). Compare the…Help me fast so that I will give Upvote.
