Q. 41 41. Literacy rates Do males have... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 10: Q. 41 (page 653)

41. Literacy rates Do males have higher average literacy rates than females in Islamic countries? The table below shows the percent of men and women at least $15$ years old who were literate in $2008$ in the major Islamic nations. (We omitted countries with populations of less than $3$ million.) Data for a few nations, such as Afghanistan and Iraq, were not available.

Short Answer

Expert verified

The normal and independent requirements are not met.

Step by step solution

Given information

Data for a few nations, such as:

Country	Female percent	Male percent
Algeria	66	94
Bangladesh	48	71
Egypt	58	88
Iran	77	97
Jordan	87	99
Kazakhstan	100	100
Lebanon	86	98
Libya	78	100
Malaysia	90	98
Morocco	43	84
Saudi Arabia	79	98
Syria	77	95
Tajikistan	100	100
Tunisia	69	97
Turkey	81	99
Uzbekistan	96	99
Yemen	41	93

Explanation

Random, Normal, and Independent requirements for two-sample $t$ methods is:
The date must be chosen at random. Because the data is of all Islamic nations with populations of more than $3$ million (excluding Afghanistan and Iraq), having data on more than $10 %$ of all Islamic nations, the Independent criteria is not met.
Furthermore, the samples are not independent, which also contradicts the condition of independence.
The normal requirement is not met because both samples are tiny (less than $30$ ), and the normal probability plot of Male percent has a high curve (reflecting that this distribution is not quite normal).