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. Question 3 v Mask?/Region East West North South Total Yes 243 232 214 226 915 No 66 74 86 95 321 Total 309 306
. Question 3 v Mask?/Region East West North South Total Yes 243 232 214 226 915 No 66 74 86 95 321 Total 309 306 300 321 1236 The contingency table shows a random sample of people in a country divided up by region and whether they would wear a mask during a virus pandemic. At a 1% Level of Significance, test to determine whether willingness to wear a mask depends on the region in which people live. 1. The hypotheses are : '33:? Ho:Region and willingness to wear a mask are independent Ha:Region and willingness to wear a mask are dependent '33.:3' Ho:Region and willingness to wear a mask are dependent Ha:Region and willingness to wear a mask are independent 2. This is a '33:? two'iiii' leftO right tailed test; d.f. = 3a. The srs [to 2 decimals] is X2 = 3b. The P-value [to 3 decimals) = 4a. The decision at a = 1% is C' Reject Ho C' Do not reject Ho 4b. The conclusion is '3' There is sufficient evidence to conclude that region and willingness to wear a mask are independent {I} There is insufficient evidence to conclude that region and willingness to wear a mask are dependent '3' There is insufficient evidence to conclude that region and willingness to wear a mask are independent '33:? There is sufficient evidence to conclude that region and willingness to wear a mask are dependent
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