Question

The number of men and women among professors two academic areas (Science or Humanities) from a simple random sample of small colleges were counted, and the results are shown in the table below. Science Humanities Men 28 32 Women 12 28 Use the α=0.01 level of significance to determine whether or not the relationship between sex and academic area is statistically significant.

(a) χ2=

(b) Magic number =

(c) Is the relationship between sex and academic area statistically significant? A. Yes B. No

Answer #1

(1 point) The number of men and women among professors in Math,
Physics, Chemistry, Linguistics, and English departments from a SRS
of small colleges were counted, and the results are shown in the
table below.
Dept.
Math
Physics
Chemistry
Linguistics
English
Men
53
125
49
27
57
Women
10
10
6
14
36
Test the claim that the gender of a professor is independent of
the department. Use the significance level α=0.025α=0.025
(a) The test statistic is χ2=
(b) The...

Q1- In the Super-Mega lottery there are 50 numbers (1 to 50), a
player chooses ten different numbers and hopes that these get
drawn. If the player's numbers get drawn, he/she wins an obscene
amount of money. The table below displays the frequency with which
classes of numbers are chosen (not drawn). These numbers came from
a sample of 194 chosen numbers.
Chosen Numbers (n=194)
1 to 10
11 to 20
21 to 30
31 to 40
41 to 50...

Hypothetical data (observed frequencies, fo)
are provided below on relationship between gender and fear of
walking at night in their neighbor-hood (FEAR) based on GSS 2018
dat.
Afraid to Walk at Night
Men
Women
Row Total
Yes
77
175
252
No
270
259
529
Column Total
347
434
781
6. Calculate the expected frequencies (fe) –
that is, the frequencies we would expect to observe if there were
no relationship between sex and marital satisfaction (8 pts).
Afraid...

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