Suppose that a student in this class uses their personalized class data set to test the...

Suppose that a student in this class uses their personalized class data set to test the hypothesis that more than 50% of the people in this class are in Business, and rejects the null hypothesis at the 2% significance level. Consider the following statements.

(i) The p-value is greater than .02.

(ii) If another student in this class tested the same hypothesis with their personalized class data set, using the same significance level, then that student might not reject the null hypothesis.

(iii) The proportion of students in this class who are in business might not be greater than 50%.

(iv) A Type I error might have occurred.

(v) The probability of Type II error is greater than 2%.

Determine which of the above statements are true or false.

Expert Solution

orchestra answered 1 year ago

Suppose that a student in this class uses their personalized class data set to find the...

Suppose that a student in this class uses their personalized class data set to find the following confidence interval for the proportion of students in this class who bike more than 5 km to school: (.171, .243). Consider the following statements. (i) If that same student used the same data set to produce the following confidence interval for the proportion of students who bike more than 5km to school, (.184, .230), then this new confidence interval must have a higher...

A student uses the given set of data to compute a least‑squares regression line and a...

A student uses the given set of data to compute a least‑squares regression line and a correlation coefficient: ? 0.7 0.8 1.7 1.7 1.3 2.6 8.0 ? 1 2 2 1 0 1 5 The student claims that the regression line does an excellent job of explaining the relationship between the explanatory variable ? and the response variable ? . Is the student correct? a. Yes, because ?2=0.74 means that 74% of the variation in ? is explained by the...

Consider class data set to represent a simple random sample of the student. Construct the confidence...

Consider class data set to represent a simple random sample of the student. Construct the confidence intervals required and also write sample statistics calculated for each. a) Calculate the 9% t-confidence interval for the mean pulse of all the student B) Calculate the 95%confidence interval for the true proportion of all student who are registered Voter Reg Pulse Rate 64 75 74 65 72 72 60 66 60 69 89 64 71 50 80 80 62 85 60 65...

Suppose a student organization at the University of Illinois collected data for a study involving class...

Suppose a student organization at the University of Illinois collected data for a study involving class sizes from different departments. A random sample of 11 classes in the business department had an average size of 38.1 students with a sample standard deviation of 10.6 students. A random sample of 12 classes in the engineering department had an average size of 32.6 students with a sample standard deviation of 13.2 students a. Perform a hypothesis test using a = 0.05 to...

A large data set is separated into a training set and a test set. (a) Is...

A large data set is separated into a training set and a test set. (a) Is it necessary to do this randomly? Why or why not? (b) In R how might this separation be done in a reproducible way? (c) The statistician chooses 20% of the data for training and 80% for testing. Comment briefly on this—2 or 3 lines would be plenty.

Suppose you have one data set with 30 cases, each case representing a student in this...

Suppose you have one data set with 30 cases, each case representing a student in this class. The following variables are available: age, gender/sex, race/ethnicity, class (freshman, sophomore, etc.), and GPA. For each of the 5 variables, explain (1) the level of measurement and (2) the measures of central tendency available to them. Race: Gender/sex: Race/ethnicity: Class: GPA:

A data set includes data from student evaluations of courses.

A data set includes data from student evaluations of courses. The summary statistics are n = 89, x̅= 3.34, s=0.51. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claimWhat are the null and alternative hypotheses?Determine the test statistic (Round...

Suppose that you take a data set, divide it into equally-sized training and test sets, and...

Suppose that you take a data set, divide it into equally-sized training and test sets, and then try out two different classification procedures. First you use logistic regression and get an error rate of 20% on the training data and 30% on the test data. Next, you use 1-nearest neighbors (i.e. K = 1) and get an average error rate (averaged over both test and training data sets) of 18%. Based on these results, which method should we prefer to...

Suppose that student scores on creativity test are normally distributed. The mean of the test is...

Suppose that student scores on creativity test are normally distributed. The mean of the test is 150 and the standard deviation is 23. Using a z-table (normal curve table), what percentage of students have z-scores a) below 1.63 b) above -0.41 Using a z-table, what scores would be the top and bottom raw score to find the c) middle 50% of students d) middle 10% of students Using a z-table, what is the minimum raw score a student can have...

Suppose that a researcher, using data on class size (CS) and average test scores from 100...

Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression. TestScore = 515.1960 + (-5.7618) x CS, R^2 = 0.11, SER = 11.4 (20.1960) (2.3426) 1. The p-value for the two-sided test for the null hypothesis H0 : B1 = 0 is ? (Round to four decimal places) 2. The p-value for the two-sided test of the null hypothesis H0 : B1 = -5.5 ? (Round to four...

Question