Loren records how many days since the beginning of quarantine has passed for each day he counts. Test the hypothesis that days from the beginning of quarantine and spots counted are independent. H0 : days and spots are independent vs. Ha : days and spots are not independent. What is the formula of the test statistic? How do you calculate the expected number of observations in a given cell? What is the test statistics? How many degrees of freedom are there? What is the p-value of the test statistic? Do you reject H0?   Data: Days Since Quarantine Dots on the Wall 1 104202 2 104279 3 104264 4 104170 5 104117 6 104195 7 104248 8 104161 9 104220 10 104285 11 104268 12 104281 13 104208 14 104204 15 104270 16 104252 17 104221 18 104381 19 104282 20 104342 21 104253 22 104267 23 104326 24 104288 25 104186 26 104277 27 104199 28 104300 29 104220 30 104286 31 104319 32 104388 33 104367 34 104284 35 104424 36 104262 37 104338 38 104292 39 104356 40 104153 41 104248 42 104424 43 104209 44 104191 45 104343 46 104162 47 104311 48 104506 49 104440 50 104181 51 104074 52 104330 53 104664 54 104308 55 104165 56 104157 57 103711 58 104487 59 104374 60 104164 Back

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.4: Expected Value
Problem 19E
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Loren records how many days since the beginning of quarantine has passed for each day he counts. Test the hypothesis that days from the beginning of quarantine and spots counted are independent.

H0 : days and spots are independent vs. Ha : days and spots are not independent.

  • What is the formula of the test statistic?
  • How do you calculate the expected number of observations in a given cell?
  • What is the test statistics?
  • How many degrees of freedom are there?
  • What is the p-value of the test statistic?
  • Do you reject H0?

 

Data:

Days Since Quarantine Dots on the Wall
1 104202
2 104279
3 104264
4 104170
5 104117
6 104195
7 104248
8 104161
9 104220
10 104285
11 104268
12 104281
13 104208
14 104204
15 104270
16 104252
17 104221
18 104381
19 104282
20 104342
21 104253
22 104267
23 104326
24 104288
25 104186
26 104277
27 104199
28 104300
29 104220
30 104286
31 104319
32 104388
33 104367
34 104284
35 104424
36 104262
37 104338
38 104292
39 104356
40 104153
41 104248
42 104424
43 104209
44 104191
45 104343
46 104162
47 104311
48 104506
49 104440
50 104181
51 104074
52 104330
53 104664
54 104308
55 104165
56 104157
57 103711
58 104487
59 104374
60 104164
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