Avatar for Sourav Pan
Sourav Pan
10 Sep 2024

A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim? A) χ2=62+322+122 B) χ2=102+302+102 C) χ2=(6−10)2+(32−30)2+(12−10)2 D) χ2=(6−10)210+(32−30)230+(12−10)210 E) χ2=(10−6)26+(30−32)232+(10−12)212

A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. … Read more

Avatar for Sourav Pan 1 Answer
Avatar for Sourav Pan
Sourav Pan
10 Sep 2024

Students in a high school statistics class wanted to see if the distribution of the colors of a popular candy was different in the bags for different types of candies the company manufactures. The students purchased several large bags of regular candies, tropical-flavored candies, and sour-flavored candies. For each type of candy, the students took a random sample of 100 candies and recorded how many of each color (red, green, yellow, or blue) were in the sample. The students verified the conditions for inference and calculated a chi-square test statistic of 12.59 with a corresponding p-value of 0.05. Which of the following is the correct interpretation of the p-value in the context of the test? A) The hypothesis test has a significance level of α=0.05. B) There is a 5 percent chance that the distribution of colors is different for the different types of candies. C) There is a 5 percent chance that the distribution of colors is the same for the different types of candies. D) Assuming that the distribution of colors for the different types of candies is the same, there is a 5 percent chance of finding a test statistic of 12.59 or larger. E) Assuming that the distribution of colors for the different types of candies is different, there is a 5 percent chance of finding a test statistic of 12.59 or larger.

Students in a high school statistics class wanted to see if the distribution of the colors of a popular candy was different in the bags for different types of candies the company manufactures. The students purchased several large bags of regular candies, tropical-flavored candies, and sour-flavored candies. For each type of candy, the students took … Read more

Avatar for Sourav Pan 1 Answer
Avatar for Sourav Pan
Sourav Pan
10 Sep 2024

How are the expected counts calculated when a chi-square goodness-of-fit test is conducted? A) The expected counts are calculated by multiplying each proportion in the null hypothesis by 100. B) The expected counts are calculated by multiplying each proportion in the alternative hypothesis by 100. C) The values observed from the sample are the expected counts. D) The expected counts are calculated by multiplying each proportion in the null hypothesis by the sample size. E) The expected counts are calculated by multiplying each proportion in the alternative hypothesis by the sample size.

How are the expected counts calculated when a chi-square goodness-of-fit test is conducted? A) The expected counts are calculated by multiplying each proportion in the null hypothesis by 100. B) The expected counts are calculated by multiplying each proportion in the alternative hypothesis by 100. C) The values observed from the sample are the expected … Read more

Avatar for Sourav Pan 1 Answer
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