5. (10 points) This problem is the check to see whether you understand the X-squ

Question

5. (10 points) This problem is the check to see whether you understand the X-squared test. There are only 2 test columns, so you cannot use the X-squared Goodness of Fit applet from the previous problem as it requires 3 or more test intervals.

You are told that a bag contains red and black balls which are in a ratio of 2:1. You test this claim by drawing one ball out of the bag and noting its color. Then you replace the drawn ball back into the bag. Thoroughly shake the bag, and draw another ball. You repeat this process 300 times. You obtain 185 red balls and 115 black balls. Using a X-squared test, determine whether or not your results supports the 2:1 claim.

a. Use the X2 calculator to compute p (use the right tail option). Provide a screen shot of your calculation.

http://www.statdistributions.com/chisquare/

b. Does this value of p support the null hypothesis at the 5% significance level? (yes or no and explain using your numbers)

Explanation / Answer

Ans:

Chi square score=3.375

degree of freedom=2-1=1

p-value=0.0662

As,p-value>0.05,we fail to reject null hypothesis.

So,yes,it supports the null hypothesis.

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