Question

(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 critical value is χ2=

(c) Is there sufficient evidence to warrant the rejection of the
claim that the gender of a professor is independent of the
department?

**A.** No

**B.** Yes

Answer #1

The statistic software output for this problem is:

Test statistics is
= **42.920**

critical value
= **11.143**

Yes

Q1- In the Super-Mega lottery there are 50 numbers (1 to 50), a
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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...

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....

While job opportunities for men and women are considerably more
balanced than they were 40 years ago, the career aspirations may
still differ. Is there a difference in majors chosen by men and
women? Using the sample of 200 MBA students (in the data file),
conduct a Chi Square Test of Independence to determine if one's
choice of major is independent of their gender. Use a .05
significance level.
ID
Gender
Major
Employ
Age
MBA_GPA
BS GPA
Hrs_Studying
Works FT...

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