Indicate the correct decision (reject or "do not reject the nuil hypothesis) and wite the appropriate conclusion. MApha (Enter an exact number as an integer, fraction, or decimal.) (4) Decision: reject the null hypothesis do not reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A poll surveyed people about taxing sugar-sweetened beverages. The results are presented in the table below, and are classified by ethnic group and response type. Are the poll responses independent of the participants' ethnic group? Conduct a test of
independence at the 5% significance level.
Opinion/
Ethnicity
Asian-
American
White/Non-
Hispanic
African-
American
Row
Latino
Total
Against tax
48
432
41
160
681
In favor of tax
55
235
23
147
460
No opinion
16
42
17
18
93
Column Total
119
709
81
325
1234
O Part (a)
+ Part (b)
O Part (c)
O Part (d)
O Part (e)
+ Part (f)
O Part (g)
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value.
1/2(p-value)
1/2(p-value)
p-value
1/2(p-value)
p-value
1/2(p-value)
O Part (h)
Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate conclusion.
(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
a =
(ii) Decision:
O reject the null hypothesis
do not reject the null hypothesis
Transcribed Image Text:A poll surveyed people about taxing sugar-sweetened beverages. The results are presented in the table below, and are classified by ethnic group and response type. Are the poll responses independent of the participants' ethnic group? Conduct a test of independence at the 5% significance level. Opinion/ Ethnicity Asian- American White/Non- Hispanic African- American Row Latino Total Against tax 48 432 41 160 681 In favor of tax 55 235 23 147 460 No opinion 16 42 17 18 93 Column Total 119 709 81 325 1234 O Part (a) + Part (b) O Part (c) O Part (d) O Part (e) + Part (f) O Part (g) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. 1/2(p-value) 1/2(p-value) p-value 1/2(p-value) p-value 1/2(p-value) O Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = (ii) Decision: O reject the null hypothesis do not reject the null hypothesis
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