In a scholarly article from the Journal of Statistics Education, entitled Pig Da

Question

In a scholarly article from the Journal of Statistics Education, entitled Pig Data and Bayesian Inference on Multinomial Probabilities, the author states that, after rolling a pig die 11, 954 times, the pig landed on its feet 1052 times. Find the sample proportion, "p-hat" = __________ (Round to three decimal places) What is the critical value that corresponds to a 95% level of confidence? Zc = ______________ (Round to three decimal places) Calculate the confidence interval: (__________ ____________) (Round both numbers to three decimal places) Would you support the claim that 10% of all tosses have the pig landing on its feet? ________ (1=yes, 2=no) Use of this MS Excel Template may be helpful: ConfidenceIntervals2.xlsx

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:

Hence,

p-hat = 0.088

Zc = 1.96

Confidence interval: (0.083, 0.093)

No, we will not support the claim. So, the answer for this part is 2

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 1052 11954 0.088004015 0.0025911412 0.082925472 0.093082559

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