Q. 77 Conduct a goodness-of-fit test t... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 11: Q. 77 (page 661)

Conduct a goodness-of-fit test to determine if the actual college majors of graduating females fit the distribution of their expected majors.

Short Answer

Expert verified

The actual college majors of graduating females fit the distribution of their expected majors.

Step by step solution

Step 1. Given information

Total frequency: $=5000$

Step 2. Calculation

$H_{0}$ The actual college majors of graduating females fit the distribution of their expected majors

$H_{a}$ The actual college majors of graduating females do not fit the distribution of their expected majors.

$df=11-1=10$

$\chi ^{2}=11.48$

$\alpha=0.05$ or $\alpha=0.01$

$p=0.3211$

Since $p$ value $>\alpha$, the null hypothesis is not rejected. Therefore the actual college majors of graduating females fit the distribution of their expected majors.

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Major	Women -Expected Major	Wome -Actual Major
Arts & Humaities	14.0%	670
Biological Sciences	8.4%	410
Business	13.1%	685
Education	13.0%	650
Engineering	2.6%	145
Physical Sciences	2.6%	125
Professional	18.9%	975
Social Sciences	13.0%	605
Technical	0.4%	15
Other	5.8%	300
Undecided	8.0%	420

Family Size	Sub & Compact	Mid-size	Full-size	Van & Truck
$1$	$20$	$35$	$40$	$35$
$2$	$20$	$50$	$70$	$80$
$3 - 4$	$20$	$50$	$100$	$90$
$5 +$	$20$	$30$	$70$	$70$

Sport	$18 - 25$	$26 - 30$	$31 - 40$	$41 a n d o v e r$
racquetball	$42$	$58$	$30$	$46$
tennis	$58$	$76$	$38$	$65$
swimming	$72$	$60$	$65$	$33$

91影视

Conduct a goodness-of-fit test to determine if the actual college majors of graduating females fit the distribution of their expected majors.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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