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 the participants' ethnic group? Conduct a test of independence at the 5% significance level. Opinion/ Ethnicity Asian- American White/Non- Hispanic African- American Row Total Latino Against tax 48 432 41 160 681 In favor of tax No opinion 55 235 23 147 460 16 42 17 18 93 Column Total 119 709 81 325 1234 O Part (a) O Part (b) O Part (c) Part (d) O Part (e) What is the test statistic? (Round your answer to two decimal places.) O Part (f) What is the p-value? O p-value < 0.001 0.001 < p-value < 0.010 0.010 < p-value < 0.025 O 0.025 < p-value < 0.050 0.050 < p-value < 0.100 O p-value > 0.100 Explain what the p-value means for this problem. O If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.

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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-
White/Non-
Hispanic
African-
Row
Total
Latino
American
American
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)
O Part (b)
O Part (c)
O Part (d)
O Part (e)
What is the test statistic? (Round your answer to two decimal places.)
O Part (f)
What is the p-value?
O p-value < 0.001
0.001 < p-value < 0.010
0.010 < p-value < 0.025
O 0.025 < p-value < 0.050
0.050 < p-value < 0.100
O p-value > 0.100
Explain what the p-value means for this problem.
If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
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- White/Non- Hispanic African- Row Total Latino American American 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) O Part (b) O Part (c) O Part (d) O Part (e) What is the test statistic? (Round your answer to two decimal places.) O Part (f) What is the p-value? O p-value < 0.001 0.001 < p-value < 0.010 0.010 < p-value < 0.025 O 0.025 < p-value < 0.050 0.050 < p-value < 0.100 O p-value > 0.100 Explain what the p-value means for this problem. If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
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