439
CHAPTER 14
Section 14.1
1.
a.
We reject H
o
if the calculated
2
c
value is greater than or equal to the tabled value of
2
1
,

k
a
c
from Table A.7.
Since
488
.
9
25
.
12
2
4
,
05
.
=
≥
c
, we would reject H
o
.
b.
Since 8.54 is not
344
.
11
2
3
,
01
.
=
≥
c
, we would fail to reject H
o
.
c.
Since 4.36 is not
605
.
4
2
2
,
10
.
=
≥
c
, we would fail to reject H
o
.
d.
Since 10.20 is not
085
.
15
2
5
,
01
.
=
≥
c
, we would fail to reject H
o
.
2.
a.
In the d.f. = 2 row of Table A.7, our
2
c
value of 7.5 falls between
378
.
7
2
2
,
025
.
=
c
and
210
.
9
2
2
,
01
.
=
c
, so the pvalue is between .01 and .025, or .01 < pvalue < .025.
b.
With d.f. = 6, our
2
c
value of 13.00 falls between
592
.
12
2
6
,
05
.
=
c
and
440
.
14
2
6
,
025
.
=
c
, so .025 < pvalue < .05.
c.
With d.f. = 9, our
2
c
value of 18.00 falls between
919
.
16
2
9
,
05
.
=
c
and
022
.
19
2
9
,
025
.
=
c
, so .025 < pvalue < .05.
d.
With k = 5, d.f. = k – 1 = 4, and our
2
c
value of 21.3 exceeds
860
.
14
2
4
,
005
.
=
c
, so
the
pvalue < .005.
e.
The d.f. = k – 1 = 4 – 1 = 3;
0
.
5
2
=
c
is less than
251
.
6
2
3
,
10
.
=
c
, so pvalue > .10.