In which of the following situations should the chi-square test for goodness-of-fit be used? Select the correct answer below: An online research company puts out a survey asking people two questions. First, it asks whether they buy groceries online. Second, it asks whether they own a car or not. The data are collected and recorded in a contingency table. The company wants to determine if there is a relationship between buying groceries online and car ownership. O A researcher is trying to determine if the amount of time children spend watching television has the same distribution for boys and for girls. She surveys a random sample of families and records the distribution of time spent watching television for each gender. She wants to determine if the distributions are the same. O A professor is trying to decide if her students randomly guessed on a certain multiple choice question or if they had some idea of the correct answer. She records the number of students who answered with each answer choice and compares this distribution with a uniform distribution, which is what she would expect if everyone L had guessed.(ii) Use R to simulate each of the processes in R and estimate the parameters and compare them with actual parameters in your models. Check the time series plot and acf plots for each process and examine each model carefully and report your observations. (1) {1 0.53 +.[1639)Xt = (1 B}Zt. (ii) {1 memo = zt. (iii) (1 033632)};1 = 2,; 0.7ZH. Explain why assessing the normality of a variable is often important. Choose the correct answer below. GIA- Determining whether a vanable is normally distributed is only important for samples that are less than 30. C} B. If the data is not normally distributed, there is no statistical calculations or statistical inference that can be done. C} 0- Many procedures and analysis in statistical inference require the data to be normally distributed to be valid