Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A company claims that its packages of 100 candies are distributed with the following color percentages: 13% red, 21% orange, 16% yellow, 10% brown, 24% blue, and 16% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.10 significance level. Click the icon to view the color counts for the candy in the package. Click here to view the chi-square distribution table. The test statistic is (Round to two decimal places as needed.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
find test statistic, critical value, p value,
State the conclusion. Do no reject OR Reject H0. There is OR is not sufficient evidence to warrant rejection of the claim that the color distribution is as claimed.?
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