Table 14-6 The Following Data Consists of a Matrix of Transition Probabilities

question 84

Multiple Choice

Table 14-6
The following data consists of a matrix of transition probabilities (P) of four majors in the College of Business, and the initial proportion of students in each major π(0) .Assume that each state represents a major and the transition probabilities represent changes from one major to the next after taking the introductory class in each discipline.
P =

π(0) = (.4, .3, .2, .1)
-Using the data in Table 14-6, determine Major 3's estimated popularity after students have taken the first two introductory courses.

• A)0.232
• B)0.220
• C)0.356
• D)0.191

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Definitions:

Linear Association

A relationship between two variables that can be represented with a straight line on a graph.

Correlation Coefficient

A number between –1 and +1 that reflects the degree to which one variable, traditionally called y, is a linear function of another, traditionally called x. A negative correlation means that as x goes up, y goes down; a positive correlation means that as x goes up, so does y; a zero correlation means that x and y are unrelated.

Significance Level

A statistical term representing the probability of rejecting the null hypothesis when it is true, often denoted by alpha.

P-hacking

The manipulation of statistical data to achieve significant results, undermining the reliability of research findings.