WILFRID LAURIER UNIVERSITY
WATERLOO, ONTARIO
2021 Winter Term Name:
Course ID: ST260 Student ID:
Course Title: Introduction to Statistics
Professors: Dr. Z. Wang
Number of Pages: 9 plus cover page
Length of Examination: XX hours
Examination Aids Allowed: Calculators.
, ST260 - Practice Final Examination (Part II) Page 1 of 7
1. The Florida Association of Retired Teacher’s has recently taken flack from some of it’s
members regarding to the poor choice of the association’s name. The association by-laws
require that more than 60% of the association must approval a name change. A random
sample of 60 of members were asked if they prefer to change it’s name. 45 of the
respondent’s said ”yes”.
(a) Set up a hypothesis test to see whether the name should be changed.
(b) Find the p-value from the desired test of hypothesis. Does the data support the name
change?
(c) What is the 95% confidence interval for the proportion of members who agree with the
name change.
9- (a) Ho :
p
=
0.60
> 0.60
Ha :
p
Ñ =
4%0=0.75
I¥%?%÷
= 2.3717
Test statistic
=
:
•
9- (b) p
-
valve
=
plz ) 2.3717 )
= 0.0089
is sufficient
Ho Thus there
Z* , cannot reject
.
Since P value <
we occur
will not
-
change
.
that the name
evidence that suggests
Data does not support name change .
9- Cc) ÑI 2%
075+-1.96 É
0.75 I 0 . It
1%0.64<11-40.86-1
WATERLOO, ONTARIO
2021 Winter Term Name:
Course ID: ST260 Student ID:
Course Title: Introduction to Statistics
Professors: Dr. Z. Wang
Number of Pages: 9 plus cover page
Length of Examination: XX hours
Examination Aids Allowed: Calculators.
, ST260 - Practice Final Examination (Part II) Page 1 of 7
1. The Florida Association of Retired Teacher’s has recently taken flack from some of it’s
members regarding to the poor choice of the association’s name. The association by-laws
require that more than 60% of the association must approval a name change. A random
sample of 60 of members were asked if they prefer to change it’s name. 45 of the
respondent’s said ”yes”.
(a) Set up a hypothesis test to see whether the name should be changed.
(b) Find the p-value from the desired test of hypothesis. Does the data support the name
change?
(c) What is the 95% confidence interval for the proportion of members who agree with the
name change.
9- (a) Ho :
p
=
0.60
> 0.60
Ha :
p
Ñ =
4%0=0.75
I¥%?%÷
= 2.3717
Test statistic
=
:
•
9- (b) p
-
valve
=
plz ) 2.3717 )
= 0.0089
is sufficient
Ho Thus there
Z* , cannot reject
.
Since P value <
we occur
will not
-
change
.
that the name
evidence that suggests
Data does not support name change .
9- Cc) ÑI 2%
075+-1.96 É
0.75 I 0 . It
1%0.64<11-40.86-1
