94.3k views
0 votes
1. Find a claim on a reputable website about a parameter: the proportion of M& Ms that are a particular color, i.e., 15% of the M&Ms are pink. Cite the source of the claim. This is a claim that you will try to support or refute with data that you collect. (2 pts)

2. State the null hypothesis. (2 pts)
3. State the alternative hypothesis and why you have chosen it. Do this before collecting data! (4 pts)
4. Data was collected from the start of the semester. Is the sample size large enough? Why or why not? (4 pts)
5. perform a hypothesis test with a 5% level of significance.
6. Conclusion. State the correct conclusion and reason (classical approach or p-value approach). (4 pts) State the summary sentence in context of the problem. (2 pts)

1. Find a claim on a reputable website about a parameter: the proportion of M&amp-example-1
1. Find a claim on a reputable website about a parameter: the proportion of M&amp-example-1
1. Find a claim on a reputable website about a parameter: the proportion of M&amp-example-2
User Andy Groff
by
8.0k points

1 Answer

3 votes

1. Find reputable source.

2. Null hypothesis: Pink M&Ms = 15%.

3. Alternative hypothesis: Pink M&Ms ≠ 15%.

4. Collect data (count pink M&Ms).

5. Perform chi-square test.

6. Draw conclusion: Reject null if evidence, else inconclusive.

Here are some tips on how to get started:

1. Find a claim on a reputable website about the proportion of M&Ms that are a particular color.

A good source for this information would be the Mars website or a scientific study that has been published in a peer-reviewed journal.

2. State the null hypothesis. The null hypothesis is the statement that you are trying to disprove.

In this case, the null hypothesis would be that the proportion of M&Ms that are pink is 15%.

3. State the alternative hypothesis. The alternative hypothesis is the statement that you are hoping to support.

In this case, the alternative hypothesis would be that the proportion of M&Ms that are pink is not 15%.

4. Collect data. You can collect data by counting the number of pink M&Ms in a sample of M&Ms.

The larger your sample size, the more accurate your results will be.

5. Perform a hypothesis test. There are many different types of hypothesis tests that you could use, but a chi-square test would be a good option for this assignment.

6. Draw a conclusion. Based on the results of your hypothesis test, you can either reject the null hypothesis or fail to reject the null hypothesis.

If you reject the null hypothesis, you can conclude that the proportion of M&Ms that are pink is not 15%.

If you fail to reject the null hypothesis, you can conclude that there is not enough evidence to say for sure whether or not the proportion of M&Ms that are pink is 15%.

User Kevpie
by
8.9k points