Problem 2 (20 points)For a certain population of employees, the percentage passing or failing a job competencyexam, listed according to sex, were as shown in the accompanying table. That is, of all thepeople taking the exam, 15% were in the male-pass category, 25% were in the male-failcategory, and so forth. An employee is to be selected randomly from this population. Let A bethe event that the employee scores a passing grade on the exam and let M be the event that amale is selected.OutcomeMale (M) Female (F) TotalPass153550Fail203050Total35651001. Are the events Pass and Male independent?2. Are the events Fail and Female independent?3. What is the probability that you pass given that you are a male P(Pass | Male)?

1) Male and Pass not independent2) Female and Fail not independent3) Probability =…

Answered: Problem 2 (20 points) For a certain…

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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The University of Chicago's General Social Survey (GSS) is the nation's most important social science sample survey. For reasons known only to social scientists, the GSS regularly asks a random sample of people their astrological sign. Here are the counts of responses from a recent GSS of 4344 people: Sign Aries Taurus Count 321 360 Sign Libra Scorpio Count 392 329 Gemini 367 Sagittarius 331 Cancer 374 Capricorn 354 Leo 383 Aquarius 376 Virgo 402 Pisces 355 We want to test Ho: All 12 astrological signs are equally likely versus Ha: All 12 astrological signs are not equally likely. Use a chi-square goodness-of-fit test to compute a test statistic and P-value. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely? Because the P-value of 0.6562 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we cannot reject the null hypothesis. We…
Selecting the Appropriate Inferential Test: For each of the studies below, please identify the following (or indicate N/A "not applicable" if the feature is not relevant to the design): a) Independent Variable(s) (IVs) and # of levels for any IVs (for Correlation/Regression, identify the predictor and predicted variable rather than IV and DV) b) Dependent Variable (DV) c) Scale of Measurement for the Dependent Variable: (Nominal, Ordinal, Interval, Ratio) for Correlation/Regression please make sure you identify the scale of measurement for both variables d) Appropriate Statistical Test (If it is a Factorial ANOVA, make sure to name the design: e.g., 2 X 2, 2 X 3, etc.)
Section F: In a random sample of 150 unemployed males, 81 of them stated that they were regular consumers of alcoholic beverages. Let p denote the true proportion of unemployed males that are regular consumers of alcoholic beverages.
Section F: In a random sample of 150 unemployed males, 81 of them stated that they were regular consumers of alcoholic beverages. Let p denote the true proportion of unemployed males that are regular consumers of alcoholic beverages.
Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."
The figure to the right shows the results of a survey in which 1004 adults from Country A, 997 adults from Country B, 999 adults from Country C, 1000 adults from Country D, and 995 adults from Country E were asked whether national identity is strongly tied to birthplace. National Identity and Birthplace People from different countries who believe national identity is strongly tied to birthplace Country A 31% Country B 18% Country C 23% Country D 55% Country E 10% Construct a 95% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. The 95% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is (☐.) - (Round to three decimal places as needed.)
Pictured Below
Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often. Lately, it seems like the bags have been having a disproportionate distribution of the colors. The company claims that 24% of the candies per bag should be blue. You decide to test this claim for yourself. You purchase a large bag and find that 38 of the 224 candies are blue. Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test. Do you have sufficient evidence that the color distribution is different than advertised? Based on the data, the value of the test statistic is:

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