Skittles is a brand of fruit-flavored candy, currently produced and marketed by the Wrigley Company, a division of Mars, Inc. Skittles consist of hard sugar shells imprinted with the letter "S". They come in five different colors: Red, Purple, Green, Orange, and Yellow. They claim that there are an equal number of Skittles distributed for each color into their packages. You are interested if Skittles are including more Orange Skittles into their packages than the rest. Out of the 200 Skittles you counted, 43 of them were Orange. For this study, you will use a significance level of 0.05. 1. P(Type I Error)
Using the context above, what is the probability of making a Type 1 error?A. 43/200B. 0.05C. 5
2. PowerFor each of the below scenarios, indicate if the power of your test will increase, decrease, or stay the same. A) Have a new observed statistic of 86/400:1. Power will increase
2. Power will decrease3. Power will remain the same
B) Change your significance level from 0.05 to 0.10:1. Power will increase2. Power will decrease3. Power will remain the same3. P(Type II Error)For each of the below scenarios, indicate if the probability of a Type II Error for your test will increase, decrease, or stay the same. A) Have a new observed statistic of 86/400:1. P(Type II Error) will increase2. P(Type II Error) will decrease3. P(Type II Error) will remain the sameB) Change your significance level from 0.05 to 0.10:1. P(Type II Error) will increase2. P(Type II Error) will decrease3. P(Type II Error) will remain the same4 Decrease P(Type I Error)State one thing the researchers could do to decrease the probability of making a Type I Error.