Question

In the academic world, students and their faculty supervisors often collaborate on research papers, producing works in which

What is the conclusion of your test? Fail to reject Ho There is not enough evidence to indicate a dependence between the auth

e Have any of the assumptions necessary for a valid analysis in parts (a) and (b) been violated? What effect might this have
In the academic world, students and their faculty supervisors often collaborate on research papers, producing works in which publication credit can take several forms. Many feel that the first authorship of a student's paper should be given to the student unless the input from the faculty advisor was substantial. In an attempt to see whether this is in fact the case, authorship credit was studied for several different levels of faculty input and two objectives (dissertations versus nondegree research). The frequency of authorship assignment decisions for published dissertations is given in the accompanying tables as assigned by 60 faculty members and 161 students. Faculty respondents High Input Medium Ingut Low Input Faculty first author, student mandatory second author Student fiest author, faculty mandatory second author 18 Student first author, faculty courtesy 20 High Ingut Medium Ingput Low Input Facuity first author student mandatory 21 Student Rirst author, faculty mandatory Student first author, faculty courtesy second author Student sole author 30 (a) Is there sufficient evidence to indicate a dependence between the authorship assignment and the input of the faculty advisor as judged by faculty members? Test using a- 0.01 State the null and alternative hypotheses. O Ho: As judged by faculty, authorship assignment and faculty input are H,: As judged by faculty, authorship assignment and faculty input are O Ho: As judged by faculty, authorship assignment and faculty input are , As judged by faculty, authorship assignment and faculty input are Calculate the test statistic. (Round your answer to three decimal places.) dependent. State the rejection region. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused region.)
What is the conclusion of your test? Fail to reject Ho There is not enough evidence to indicate a dependence between the authorship assignment and the input of the faculty advisor as judged by faculty members. O Reject o There is enough evidence to indicate a dependence betweern the authorship assignment and the input of the faculty advisor as judged by faculty members. O Reject Her There is not enough evidence to indicate a dependence between the authorship assignment and the input of the faculty advisor as judged by faculty members. Fail to reject There is enough evidence to indicate a dependence between the authorship assignment and the input of the faculty advisor as judged by faculty members. b) Is there sufficient evidence to indicate a dependence between the authorship assignment and the input of the faculty advisor as judged by students? Test using α 0.01 State the null and alternative hypotheses. OM: As judged by students, authorship assignment and faculty input are Ha: As judged by students, authorship assignment and faculty input are O As judged by students, authorship assignment and faculty input are H. : As judged by students, authorship assignment and faculty input are Calculate the test statistic. (Round your answer to three decimal places.) Bound the p-value. o p-value
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Answer #1

The expected values are computed in terms of row and column totals. In fact, the formula is Ei where R corresponds to the tot

Squared Distances Column1 Column 2 0-1.4671.467 0.364 567 2.912 (3-3,6670.121 Column 3 0-0.8 0.8 Row 1 18-131.923 3-6 Row 2 4

Test Statistics The Chi-Squared statistic is computed as follows: X2 0%-Gr 2.964-1.923 + 3.51 + 1.256 + 1.467 + 0.364 + 2.912

p - value = The P-Value is .001481.

conclusion-

Option b) is correct.

Part - 2)

Total 29 86 40 Expected Values Row 1 Row 2 Row 3 Row 4 Total Column1 43x27.745 43x86 22.969 43x 40 10.683 6.602 43 Column 2 5

Rejection Region Based on the information provided, the significance level is α 0.01 , the number of degrees of freedom is df

p- value =  is < .00001

conclusion -

option b) is correct.

last question -

option d) is correct

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