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Gummi Bears: Red or yellow? Refer to the Chance (Winter
Chapter 7, Problem 105E(choose chapter or problem)
Problem 105E
Gummi Bears: Red or yellow? Refer to the Chance (Winter 2010) experiment to determine if color of a Gummi Bear is related to its flavor, Exercise 7.72 (p. 392). You tested the null hypothesis of p = .5 against the two-tailed alternative hypothesis of p ≠ .5 using = .01, where p represents the true proportion of blind folded students who correctly identified the color of the Gummi Bear. Recall that of the 121 students who participated in the study, 97 correctly identified the color. Find the power of the test if the true proportion is p = .65.
Questions & Answers
QUESTION:
Problem 105E
Gummi Bears: Red or yellow? Refer to the Chance (Winter 2010) experiment to determine if color of a Gummi Bear is related to its flavor, Exercise 7.72 (p. 392). You tested the null hypothesis of p = .5 against the two-tailed alternative hypothesis of p ≠ .5 using = .01, where p represents the true proportion of blind folded students who correctly identified the color of the Gummi Bear. Recall that of the 121 students who participated in the study, 97 correctly identified the color. Find the power of the test if the true proportion is p = .65.
ANSWER:
Solution 105E
Step1 of 2:
Let us consider a proportion ‘p’ it presents the true proportion of blindfolded students who correctly identified the color of the Gummi Bear.
We need to find the power of the test if the true proportion is = 0.65.
Step2 of 2:
Let us consider test of the hypothesis:
against
With level of significance.
The critical value of Z is given by:
&