Question

Mask?/Region Yes No Total East 243 73 316 West 237 76 313 North 249 54 303 South 230 94 324 Total 959 297 1256 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 : Ho:Region and willingness to wear a mask are independent Ha:Region and willingness to wear a mask are dependent O Ho:Region and willingness to wear a mask are dependent Ha:Region and willingness to wear a mask are independent 2. This is a two left right tailed test; d.f. = 3a. The STS (to 2 decimals) is x? = 3b. The P-value (to 3 decimals) = 4a. The decision at a = 1% is O Do not reject Ho O Reject Ho 4b. The conclusion is There is insufficient evidence to conclude that region and willingness to wear a mask are independent There is insufficient evidence to conclude that region and willingness to wear a mask are dependent There is sufficient evidence to conclude that region and willingness to wear a mask are independent There is sufficient evidence to conclude that region and willingness to wear a mask are dependent

Answer 1

		East	West	North	South
Yes	Observed	243	237	249	230
	Expected	241.28	238.99	231.35	247.39
	O - E	1.72	-1.99	17.65	-17.39
	(O - E)² / E	0.01	0.02	1.35	1.22
No	Observed	73	76	54	94
	Expected	74.72	74.01	71.65	76.61
	O - E	-1.72	1.99	-17.65	17.39
	(O - E)² / E	0.04	0.05	4.35	3.95
Total	Observed	316	313	303	324
	Expected	316.00	313.00	303.00	324.00
	O - E	0.00	0.00	0.00	0.00
	(O - E)² / E	0.05	0.07	5.69	5.17

.....................................................................................

1)

H0: Region and willingness to wear a mask are independent

Ha: Region and willingness to wear a mask are dependent

2) Two,DF=

3a) 10.98

3b) 0.012

4a) Do not reject h0

4b) Option 2 is correct. There is insufficient...