James was eating a bag of candies that came in eight different colors. He noticed that...

James was eating a bag of candies that came in eight different colors. He noticed that there appeared to be far fewer green candies than any of the other colors and wondered if the true proportion of green candies was lower than the 12.5% that would be expected if all of the candies came in even amounts. For the sake of statistics, he decided that he would need to buy more candy to test his hypothesis. James randomly selected several bags and candies and recorded the color of each piece of candy. He found that out of the first 400 candies that he chose, 39 of them were green.

James conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of green candies was lower than 12.5%.

(a) H0:p=0.125; Ha:p<0.125, which is a left-tailed test.

(b) Use a TI-83, TI-83 plus, or TI-84 calculator to test whether the true proportion of green candies is less than 12.5%. Identify the test statistic, z, and p-value from the calculator output, rounding to three decimal places.

Expert Solution

milcah answered 5 months ago

15. A candy company makes five different colors of candies. Find the sample proportion of candies...

15. A candy company makes five different colors of candies. Find the sample proportion of candies that are green. Use that result to test the claim that 15% of the company's candies are green. Use the data in the table below, the P-value method, and a significance level of 0.025. What are the null and alternative hypotheses? A. H 0 : p ≠ 0.15 H 1 : p = 0.15 B.H 0 : p > 0.15 H 1 : p...

A sample of colored candies was obtained to determine the weights of different colors. The ANOVA...

A sample of colored candies was obtained to determine the weights of different colors. The ANOVA table is shown below. It is known that the population distributions are approximately normal and the variances do not differ greatly. Use a 0.05 significance level to test the claim that the mean weight of different colored candies is the same. If the candy maker wants the different color populations to have the same mean weight, do these results suggest that the company has...

A bag contains 40 jellybeans with 5 different colors. Each color is equally represented. You are...

A bag contains 40 jellybeans with 5 different colors. Each color is equally represented. You are interested in randomly drawing one jellybean at a time and checking the color before eating it. You want to know how many red jelly beans you will pull out of the bag during the first 10 draws. Can the probability be found by using the binomial probability formula? Why or why not? No. The trials are fixed, but the events are independent. Yes. The...

Nine West sells women's flip flops in eight different colors. Despite the available selection, 50% of...

Nine West sells women's flip flops in eight different colors. Despite the available selection, 50% of all filp flops purchased are white. Suppose 30 buyers are selected at random. a. Find the mean, variance, and standard deviation of the number of buyers who purchase white flip flops. b. Find the probability that the number of white flip flops purchased will be within two standard deviations of the mean. Compare this with the predicted result from Chebyshev's Rule. c. Suppose two...

Question