GEO Assignment 5

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School

University of Florida *

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3162C

Subject

Statistics

Date

Feb 20, 2024

Type

docx

Pages

7

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#1-a. Values f 0 f e f 0 − f e ( f 0 − f e )^2 ( f 0 − f e )^2 / f e Heads 0.6 0.5 0.1 0.01 0.02 Tails 0.4 0.5 -0.1 0.01 0.02 ∑ = 0 ∑ = 0.04 #1-b. df = 2 - 1 =1 in this case. #1-c. The null hypothesis for this example is that the coin is fair. An alternative hypothesis is that the coin is not fair and it is biased. #1-d. Since df = 1 and ɑ is 0.05, we can how that the Critical Value is 3.84 using the Chi- Square Critical Value table. #1-e. The chi-square is 0.04, and the Critical Value is 3.84. 0.04 < 3.84, and therefore, since the critical value is larger than the chi-square, you can not reject the null hypothesis, concluding the coin is fair.
#2-a. image 1. The image is showing the table for the result of 20 coin flips. #2-b. image 2. This image is showing the bar graph and the frequencies table for the 20 coin flip results.
#2-c. image 3. The image shows the Goodness of Fit Chi Square with hypothetical probabilities of both heads of tails of 0.5. The result shows that the hypothetical probability is much greater than the Chisquare. It also shows the probability of getting the chi-square, aside from the Chi-square. It also contains more decimals, making the result more credible.
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