he following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

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Chapter10: Statistics
Section10.3: Measures Of Spread
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The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
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The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location.
Pottery Type
McElmo
Black-on-White
55
69
66
190
0/1 Submissions Used
LAUSE SALT
Site Type
Mesa Top
Cliff-Talus
Canyon Bench
Column Total
State the null and alternate hypotheses.
O Ho: Site type and pottery are not independent.
H₁: Site type and pottery are independent.
Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance.
(a) What is the level of significance?
0.01
O Ho: Site type and pottery are not independent.
H₁: Site type and pottery are not independent.
!
1
Mesa Verde
Black-on-White
74
80
87
241
Ho: Site type and pottery are independent.
H₁: Site type and pottery are not independent.
O Ho: Site type and pottery are independent.
H₁: Site type and pottery are independent.
Are all the expected frequencies greater than 5?
OYes
O No
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the
What sampling distribution will you use?
O uniform
F1
@
2
F2
# 3
80
F3
$
4
000
Mancos
Black-on-White
60
64
73
197
F4
%
5
A
F5
Rounding Numbers Calculator X C
MacBook Air
A
Row Total
189
213
226
628
6
F6
&
7
F7
* 00
8
DII
FB
(
9
D
Transcribed Image Text:4- Inferences about Differ X WAMAT 152 Online Unit 4 Test - M X с Mail - Dj J Alexander - Outlook X webassign.net/web/Student/Assignment-Responses/submit?pos=10&dep=29079137&tags-autosave#question4730774_10 DETAILS esc The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type McElmo Black-on-White 55 69 66 190 0/1 Submissions Used LAUSE SALT Site Type Mesa Top Cliff-Talus Canyon Bench Column Total State the null and alternate hypotheses. O Ho: Site type and pottery are not independent. H₁: Site type and pottery are independent. Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. (a) What is the level of significance? 0.01 O Ho: Site type and pottery are not independent. H₁: Site type and pottery are not independent. ! 1 Mesa Verde Black-on-White 74 80 87 241 Ho: Site type and pottery are independent. H₁: Site type and pottery are not independent. O Ho: Site type and pottery are independent. H₁: Site type and pottery are independent. Are all the expected frequencies greater than 5? OYes O No (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the What sampling distribution will you use? O uniform F1 @ 2 F2 # 3 80 F3 $ 4 000 Mancos Black-on-White 60 64 73 197 F4 % 5 A F5 Rounding Numbers Calculator X C MacBook Air A Row Total 189 213 226 628 6 F6 & 7 F7 * 00 8 DII FB ( 9 D
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