A researcher is interested in evaluating the association between age and the proportion of subjects consuming different brands of soft drinks. Consider the table below, formed by cross-classifying age groups and brands. DATA: Cola 1 Cola 2 Cola 3 Under Age 15 Questions: 170 216 328 Age 15-25 124 145 232 Age 25-35 228 232 336 The researcher wants to evaluate the following hypothesis: Ho: There is no association between the two factors (i.e. there is no difference in the proportion of people consuming different brands of soft drinks). Against HA: There is an association between the two factors. The calculated "x²" statistics for this particular data set was found to be: 5.62 1. What is the critical value of "x²" using an alpha=0.1 (round to the nearest tenth) Blank 1 2. Given the "x²" calculated and the critical value of "x²" indicate if you are going to reject or fail to reject the null hypothesis using an alpha=0.1 Blank 2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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A researcher is interested in evaluating the association between age and the proportion of subjects consuming
different brands of soft drinks. Consider the table below, formed by cross-classifying age groups and brands.
DATA:
Cola 1
Cola 2
Cola 3
Under Age 15
Questions:
170
216
328
Age 15-25
124
145
232
Age 25-35
228
232
336
The researcher wants to evaluate the following hypothesis:
Ho: There is no association between the two factors (i.e. there is no difference in the proportion of people
consuming different brands of soft drinks).
Against
HA: There is an association between the two factors.
The calculated "x²" statistics for this particular data set was found to be: 5.62
1. What is the critical value of "x²" using an alpha = 0.1 (round to the nearest tenth) Blank 1
2. Given the "x²" calculated and the critical value of "x2" indicate if you are going to reject or fail to reject
the null hypothesis using an alpha = 0.1 Blank 2
Transcribed Image Text:A researcher is interested in evaluating the association between age and the proportion of subjects consuming different brands of soft drinks. Consider the table below, formed by cross-classifying age groups and brands. DATA: Cola 1 Cola 2 Cola 3 Under Age 15 Questions: 170 216 328 Age 15-25 124 145 232 Age 25-35 228 232 336 The researcher wants to evaluate the following hypothesis: Ho: There is no association between the two factors (i.e. there is no difference in the proportion of people consuming different brands of soft drinks). Against HA: There is an association between the two factors. The calculated "x²" statistics for this particular data set was found to be: 5.62 1. What is the critical value of "x²" using an alpha = 0.1 (round to the nearest tenth) Blank 1 2. Given the "x²" calculated and the critical value of "x2" indicate if you are going to reject or fail to reject the null hypothesis using an alpha = 0.1 Blank 2
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