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Directions: A researcher posits the following hypothesis: “ Smoking cessation is

ID: 3155999 • Letter: D

Question

Directions: A researcher posits the following hypothesis: “Smoking cessation is independent of nicotine patch use”. After collecting data, he obtains the results below. Based on this data, you are to calculate the Chi-Square Test of Independence and determine statistical significance. Be sure to follow the steps and show your work!!

Stopped Smoking?

Total

Yes

No

Used a Patch?

Yes

84

76

160

No

101

131

232

Total

185

207

392

Using the correct degrees of freedom determine the critical value of X2 from Table 5 for alpha =.05.

What is the critical value for this test ___________

Compare the obtained X2 to the critical value: Is the difference statistically significant? How do you know?

Summarize the result of the study in 1-2 sentences (include proportions, X2, and p value).

Stopped Smoking?

Total

Yes

No

Used a Patch?

Yes

84

76

160

No

101

131

232

Total

185

207

392

D Introduction to probabilit × c Dreader.chegg.com/book.php?id-8229e29948368ee2a4e7472520bcado3 :: Apps New folder D Hospital Corpsman E D HM3 Bib Breakdown Gw Welcome to Gw! ThSchedule of Classes Chegg.com # Dropbox Advance Q HM3 CORPS MAN EX braille skateboarding Introduction to Probability and Statistics AA L More 660 More TABLE 5 (continued) 3.84146 5.99147 7.81473 9.48773 2.70554 4.60517 7.87944 10.5966 12.8381 14.8602 5·02 389 6.63490 7.37776 11.1433 12.8325 9.21034 11.3449 13.2767 6.25139 9.34840 7.77944 9.23635 16.7496 18.5476 20.2777 21.9550 23.5893 11.0705 15.0863 6 14.4494 16.0128 17.5346 19.0228 10.6446 12.0170 12.5916 14.0671 15.5073 16.9190 18.4753 20.0902 21.6660 14.6837 15.9871 17.2750 18·5494 19.8119 21.0642 18.3070 19.6751 21.0261 22.3621 23.6848 20.4831 10 23.2093 24.7250 26.2170 27.6883 26.7569 28.2995 29.8194 23.3367 24.7356 12 13 14 24.9958 26.2962 27.8571 28.8693 0.1435 30.5779 31.9999 33.4087 34.8053 36.1908 27.4884 28.8485 32.8013 34.2672 22.3072 16 24.7690 25.9894 27.2036 31.5264 32.8523 38.5822 30.8133 32.0069 33.1963 32.6705 33.9244 35.1725 35.4789 36.7807 38.0757 39.3641 37.5662 38.9321 40.2894 41.6384 42.9798 39.9968 41.4010 42.7956 45.5585 34.3816 35.5631 37.6525 38.8852 40.6465 41.9232 44.3141 45.6417 46.9278 48.2899 6:54 AM 4/21/2016

Explanation / Answer

Solution:

> observed_frequency
    Yes No
Yes 84 76
No 101 131
> Expected_frequency

> chisq.test(x)

        Pearson's Chi-squared test with Yates' continuity correction

data: x
X-squared = 2.7051, df = 1, p-value = 0.1

> p_value
[1] 0.1000293

Conclusion: Not significant because p-value greater than 0.05 and conclude that there is no difference between two groups.

Stopped Smoking Yes No Used a Patch Yes 75.5102 84.4898 No 109.4898 122.5102
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