Acme Toy Company prints baseball cards. The company claims that 30% of the cards are rookies, 60% areveterans, and 10% are All-Stars. Suppose a random sample has the following cards. Test Acme's claim that0.05 level of significance.the distribution is a good fit with the prints of baseball cards at an aExpectedFrequencyObservedCategoryFrequencyRookies30Veterans105All-Stars15a. Complete the table by calculating the expected frequencies.b. What is the chi-square test statistic? Round to three decimal places.c. What are the degrees of freedom?degrees of freedom=d. What is the p-value for this sample? Round to four decimal places.p-value=e. Is the p-value less than a? Yes vf. Make a decision.Reject the null.O Fail to reject the null.g. Make a conclusion.There is not sufficient evidence to support the claim that Acme's distribution of baseball cardsis a good fit.O There is sufficient evidence to support the claim that Acme's distribution of baseball cards is agood fit.

a.CategoryExpected FrequencyRookies45Veterans90All-Stars15 b. χ2=7.500 c. The degrees of freedom is…

Answered: Acme Toy Company prints baseball cards.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. Observed Distribution of Colors B. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. Colored Candies in a bag C. None of these. Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 60 65 55 63 78 65…
The expected proportions of colors of M&Ms according to the Mars candy company can be found in the table below. In addition, the table contains the number of M&M's of each color that were found in a case of candy. At the 1% level, do the observed frequencies support the claim of M&M? M&M Observed Counts and Expected Proportions blue brown green orange red yellow Total Observed Frequencies 474 379 489 550 363 359 2614 Expected Proportion 0.24 0.13 0.16 0.2 0.13 0.14
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 96 Married, no children 29% 118 Single parent 9% 37 One person 25% 95 Other (e.g., roommates, siblings) 11% 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different. (b) Find the…
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) Percent of U.S. Households 26% 29% 9% 25% 11% Observed Number of Households in the Community 106 112 37 91 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 29 34 28 34 26 28 Actor (years) 59 40 39 40 30 32 54 a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Ho Md 42 27 33 40 41 43 year(s) year(s) H₁ H (Type integers or decimals. Do not round.) Identify the…
You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 296 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 73 Lane 2 59 Lane 3 79 Lane 4 85 b. What is the correct statistical test to use? Select an answer < c. What are the null and alternative hypotheses? Ho: The traffic and lanes are independent. The distribution of traffic is not uniform. The distribution of traffic is uniform. The traffic and lanes are dependent. H1: The traffic and lanes are independent. O The distribution of traffic is uniform. The distribution of traffic is not uniform. The traffic and lanes are dependent.
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The marital status distribution of the U.S male population, age 15 and older, is as shown below in first column. Suppose that a random sample of 400 U.Syound adult males, 18-38 years old, yielded the following frequency distribution . We are interested in whether this age group of males fits the distribution of the U.S adult population. marital status expected frequency observed frequency never marreid 31.3 140 marreid 56.1 238 widowed 2.5 2 divorced/seperated 10.1 20 total 100 400 Choose the correct calculation
You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies: of Cars in Each Lane Frequency Outcome Frequency Expected Frequency Lane 1 89 Lane 2 98 Lane 3 92 Lane 4 93 b. What is the correct statistical test to use? Select an answer Y C. What are the null and alternative hypotheses? Ho: OThe distribution of traffic is not uniform. O The traffic and lanes are independent. O The distribution of traffic is uniform. KO The traffic and lanes are dependent. Hi : OThe distribution of traffic is uniform. OThe traffic and lanes are independent. O The traffic and lanes are dependent. O The distribution of traffic is not uniform.

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