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A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked (not broken, just cracked). In 3 c 12 eggs each carton), 2 eggs are cracked. a) Calculate a p-value for the observed sample result. Hint: Use Excel to calculate the cumulative binomial probability P(X2 211 T = .02) = 1– P(Xs1|n= 36, 7 = .02). (Round your answer to 4 decimal places.) 9X2 2) (b) We fail to reject the null hypothesis at a = 10. O Yes O No

A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked (not broken, just cracked). In 3 c 12 eggs each carton), 2 eggs are cracked. a) Calculate a p-value for the observed sample result. Hint: Use Excel to calculate the cumulative binomial probability P(X2 211 T = .02) = 1– P(Xs1|n= 36, 7 = .02). (Round your answer to 4 decimal places.) 9X2 2) (b) We fail to reject the null hypothesis at a = 10. O Yes O No

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Egg Quality Standard Analysis** A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked (not broken, just cracked). In 3 cartons (12 eggs each carton), 2 eggs are cracked. **(a) Calculate a p-value for the observed sample result.** *Hint:* Use Excel to calculate the cumulative binomial probability \( P(X \geq 2 \mid n = 36, \pi = 0.02) = 1 - P(X \leq 1 \mid n = 36, \pi = 0.02) \). *(Round your answer to 4 decimal places.)* \[ P(X \geq 2) \] \[ \_\_\_\_\_\_ \] **(b) We fail to reject the null hypothesis at \( \alpha = .10 \).** - ○ Yes - ○ No **(c) This sample shows that the standard is exceeded.** - ○ No - ○ Yes
Transcribed Image Text:**Egg Quality Standard Analysis** A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked (not broken, just cracked). In 3 cartons (12 eggs each carton), 2 eggs are cracked. **(a) Calculate a p-value for the observed sample result.** *Hint:* Use Excel to calculate the cumulative binomial probability \( P(X \geq 2 \mid n = 36, \pi = 0.02) = 1 - P(X \leq 1 \mid n = 36, \pi = 0.02) \). *(Round your answer to 4 decimal places.)* \[ P(X \geq 2) \] \[ \_\_\_\_\_\_ \] **(b) We fail to reject the null hypothesis at \( \alpha = .10 \).** - ○ Yes - ○ No **(c) This sample shows that the standard is exceeded.** - ○ No - ○ Yes
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