Answered

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A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.

1. What is the alternate hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
2. What is the null hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday are like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).
What is your conclusion about the bags based on this result? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.

Sagot :

Answer:

1. B. The bag of candy produced last Monday is different from the standard bag.

2. A. The bag of candy produced last Monday are like the standard bag.

3. B. The bag of candy produced last Monday is different from the standard bag.

Step-by-step explanation:

Given - A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.

To find - 1. What is the alternate hypothesis for this exercise?

              2. What is the null hypothesis for this exercise?

              3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).  What is your conclusion about the bags based on this result?

Proof -

1.

The alternate hypothesis is - B. The bag of candy produced last Monday is different from the standard bag.

2.

The null hypothesis is - A. The bag of candy produced last Monday are like the standard bag.

3.

The conclusion is - B. The bag of candy produced last Monday is different from the standard bag.

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