Preview

M&M Project

Satisfactory Essays
Open Document
Open Document
396 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
M&M Project
MAT 300
M&Ms® Project
Part 5 (3 pts)

Using the methods in Section 8.4, test the hypothesis (α = 0.05) that the population proportions of red and brown are equal (pred = pbrown). You are testing if their proportions are equal to one another, NOT if they are equal to one another AND equal to 13%. NOTE: These are NOT independent samples, but we will use this approach anyway to practice the method. This also means that n1 and n2 will both be the total number of candies in all the bags. The “x” values for red and brown are the counts of each we found on the Data page. You will need to calculate the weighted p: [pic]

Be sure to state clear hypotheses, test statistic, critical value or p-value, decision (reject/fail to reject), and conclusion in English. Submit your answer as a Word, Excel, .rtf or .pdf format through the M&M® project link in the weekly course content.

Answer

Here n1 = 4179, n2 = 4179, x1 = 588, x2 = 521

Therefore, pred = x1/n1 = 588/4179 = 0.140703518

Pbrown = x2/n2 = 521/4179 = 0.124670974

The null hypothesis tested is

H0: There is no significant difference in the proportions of red and brown candies. (pred = pbrown).

The alternative hypothesis is

H1: There is significant difference in the proportions of red and brown candies. (pred ≠ pbrown)

The Test Statistic used is
[pic] where [pic]= 0.132687246

Therefore, [pic]= 2.160335305

Rejection criteria: Reject the null hypothesis, if the observed significance (p-value) is less than the significance level 0.05.

P-value = P ([pic]> 2.160335305) = 0.030746722

Conclusion: Reject the null hypothesis, since the observed significance (p-value) is less than the significance level 0.05. The sample provides enough evidence to support the claim that there is significant difference in the proportions of red and brown candies.

Details

|Z Test for Differences in Two Proportions |
|

You May Also Find These Documents Helpful

  • Satisfactory Essays

    MATH533 Project B

    • 921 Words
    • 6 Pages

    Null Hypothesis: The true population proportion of customers who live in an urban area is less than or equal to 40%. H₀: p ≤ 0.40…

    • 921 Words
    • 6 Pages
    Satisfactory Essays
  • Satisfactory Essays

    M N M Project 5

    • 612 Words
    • 3 Pages

    In this area we combined all collected data, and placed into an excel worksheet. During this process we were able to collect all necessary information to distinguish the sample mean and sample proportion for each colored candy as well as for the total number of candies collected. After all of the information was collected and computed, a frequency histogram was then created (see below) which allowed one to identify any patterns within the data set. A frequency histogram is a bar graph that represents…

    • 612 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    Assign 2 Adm2304 W15

    • 1186 Words
    • 5 Pages

    When you perform a test of hypothesis, you must always use the 4-step approach: i. S1:the “Null” and “Alternate” hypotheses, ii. S2: calculate value of the test statistic, iii. S3: the level of significance and the critical value of the statistic, iv. S4: your decision rule and the conclusion reached in not rejecting or rejecting the null hypothesis. When asked to calculate p–value, S5, relate the p-value to the level of significance in reaching your conclusion.…

    • 1186 Words
    • 5 Pages
    Good Essays
  • Satisfactory Essays

    QNT351 Week5 MyStatsLab

    • 2853 Words
    • 9 Pages

    D. The level of significance, β, is the probability of committing a Type II error, not rejecting the null hypothesis when it is, in fact, false…

    • 2853 Words
    • 9 Pages
    Satisfactory Essays
  • Good Essays

    Stat 200 Exam 2

    • 5054 Words
    • 21 Pages

    A null hypothesis is that the average pulse rate of adults is 70. For a sample of 64 adults, the average pulse rate is 71.8. A significance test is done and the p-value is 0.02. What is the most appropriate conclusion based on α of 0.05?…

    • 5054 Words
    • 21 Pages
    Good Essays
  • Satisfactory Essays

    We reject the null hypothesis since the test statistic is greater than the critical value. We have sufficient evidence to conclude that the mean weight is greater than 16 ounces.…

    • 1402 Words
    • 6 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Mnm Project 4

    • 583 Words
    • 3 Pages

    Test their claim that the true proportion of red M&Ms candies is 0.13 at the 0.05 significance level.…

    • 583 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Marketing Hw

    • 1134 Words
    • 5 Pages

    Based on the table above, since P value is zero, the null hypothesis can be rejected.…

    • 1134 Words
    • 5 Pages
    Satisfactory Essays
  • Satisfactory Essays

    B) How did the expected ratio of green to albino seedlings compare to the observed ratio of green to albino seedlings? Use your results to help explain your answer.…

    • 350 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    exercise 36

    • 608 Words
    • 2 Pages

    4. If the researchers had set the level of significance or α = 0.01, would the results of p = 0.001 still be statistically significant? Provide a rationale for your answer.…

    • 608 Words
    • 2 Pages
    Good Essays
  • Good Essays

    The purpose of the experiment is to find out if sugar content affects a person’s preference on Coke and Pepsi.…

    • 590 Words
    • 3 Pages
    Good Essays
  • Better Essays

    Skittles Project

    • 1058 Words
    • 5 Pages

    The calculations determined that in both cases the claims are rejected. In the case of the claim that 20% of skittles are red, the class proportion of 20.4% red skittles and is found to be unlikely to be correct and therefore is rejected because the calculated p-value is less than the significance level. Also, the claim that the mean number of skittles per bag is 55 is tested against the class mean of 59.98. This is also determined to be unlikely correct and is rejected as well because the calculated test statistic falls within the critical…

    • 1058 Words
    • 5 Pages
    Better Essays
  • Good Essays

    Skittles Report

    • 446 Words
    • 2 Pages

    After that, I will gather bags of original skittles in different size capacities. I will label each bag with a letter; I will also label bowls so I will not get which skittles came from which bags confused. Once I have this ready, I will open the skittles. First, I will pour each bag of skittles into a bowl, then I will record which size the bag is how many skittles came out of the bag, if there are any abnormal skittles how many, and how much of each color are there. After this is completed for each bag, I will find the percentage of…

    • 446 Words
    • 2 Pages
    Good Essays
  • Good Essays

    m&m paper

    • 295 Words
    • 2 Pages

    To state it simply, I am a true and proud chocoholic (choc•o•hol•ic; noun:a person who is excessively fond of chocolate). Quite often, I find myself in need of snacks, chocolate, cupcakes, and among all the junk food I eat M&M is my favorite candy to buy. Growing up, I always wonder why the different colors in the M&M bags were not equally distributed. Common sense tells me mass production of the different colored shells are made and then combined along the way before being distributed in their individual bags only to meet a certain weight requirement. According to the M&M’s website, any package of milk chocolate M&M’s should be distributed as such: 24% blue, 13% brown, 16% green, 20% orange, 13% red, and 14% yellow M&M's (Proportions found at http://www.m-ms.com/us/about/products/milkchocolate/). I wanted to test the proportions stated on the M&M’s website and see if they held true to a 14 oz. (396.9 gram) bag of milk chocolate M&M’s. Also, I wanted to compare the raw results to see how they compared to a uniform estimation (i.e. E(color) = 1/6). In order to analyze the qualitative variables, the one-sample test and chi-sqare (goodness-of-fit) test will be used.…

    • 295 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Analysis of Varience

    • 594 Words
    • 3 Pages

    4. If the researchers had set the level of significance or = 0.01, would the results of p 0.001 still be…

    • 594 Words
    • 3 Pages
    Good Essays