Your statistics instructor would like to use a 6-side die (with each of its six faces showing a differentnumber from 1 to 6) to choose the next quiz question. You suspect that the die is not fair, and oneor more numbers show up more frequently than others, so you are conducting a Goodness-of-Fithypothesis test for the claim that the 6-side die is not fair at the significant level of a = 0.01.Step 1) State claims identify the parameter:Your friend Alicia helped you with the null and alternative hypotheses...1Ho: p1 = p2 = p3 = P4 = P5 = P6HA: At least one of the proportion is different from the others.Step 2) Identify the procedureFor this study, we should use Select an answer ♥Step 3) Gather a sample and summarize with statisticsYou drew a sample of size n=87, and the observed frequencies are recorded below. Please complete thetable using the exact answer (e.g., whole numbers, fractions or decimals).NumberObservedExpectedFrequencyRolledFrequency1162173164552013 The degree of freedom :The test-statistic for this data =(Please show your answer to three decimal places.)The p-value for this sample =(Please show your answer to four decimal places.)Step 4) State the conclusionThe p-value is Select an answerBased on this, we should Select an answerhypothesisAs such, the final conclusion is that...Based on the sample data, there is not sufficient evidence to conclude the claim that not all 6categories are equally likely to be selected at the significant level of a = 0.01.Based on the sample data, there is sufficient evidence to conclude the claim that not all 6categories are equally likely to be selected at the significant level of a = 0.01.

The chi - square (χ2) goodness of fit - test statistics formula is defined by…

Answered: Your statistics instructor would like…

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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Which of the following is a feature of a binomial experiment? A. Each trial has an unlimited number of outcomes. B. The probability of a success is twice the probability of a failure. C. There are an uncertain number of trials. D. The probability of a success is the same for each trial.
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4 children. He makes a fast, wrong estimate of the probability of various mixes of boys and girls among QUESTION 3. Mr. Fastwrong is working for the census department and he is counting families that have the families. His assistant, Ms. Slowright, analyzes the issue and corrects his work. Fill her corrections of his wrong guesses into the table below. Number of boys among the 4 children 1 0 4 3 2 Number of girls among the 4 children 0 1 2 4 Use fractions (not percents) in your answers. Mr. Fastwrong's estimate of the fraction of families having this distribution of boys and girls 1/5 1/5 1/5 1/5 1/5 Ms. Slowright's estimate of the fraction of families having this distribution of boys and girls
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 1 21 3 3 24 4 21 21 30 b. What are the null and alternative hypotheses? Ho: Select an answer 2.
A new lie-detector test has been devised and must be tested before it is put into use. Two hundred people are selected at random, and each person draws and keeps a card from a box of 200 cards. Half the cards instruct the person to lie and the others instruct the person to tell the truth. Of those who lied, 70% fail the new lie-detector test (that is the test indicated lying). Of those who told the truth, 6% failed the test. What is the probability that a randomly chosen subject will have lied given that the subject failed the test? That the subject will not have lied given that the subject failed the test?
Which of the following statements about Type 1 and Type 2 error is false? They are both a form of chance error. They are both represented using Greek letters. They are both a form of systematic error. Ideally you should try to keep both as low as possible in your study.
TRefer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 121 people living in Gastown and finds that 25 have an annual income that is below the poverty line. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 20.66% (25/121) of Gastown residents are living below the poverty line. ? B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 25/121. ? C. If another random sample of 121 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living…
A new memory pill actually does not work at all. However, a researcher gives it to a sample, and by pure chance, he happens to have gotten a sample of people with above average memory. So, he wrongly concludes that it was the pill that was responsible for their good memory, and he concludes that the pill works. What has happened? The researcher has made a type II error Need more information to answer The researcher has made the correct decision The researcher has made a type I error
You suspect one of the employees in a casino is using loaded dice. You observe them rolling the dice 66 times and record the following results: Face "1" "2" "3" "4" "5" "6" Observed count 10 7 16 7 9 17 (a) Which hypotheses should be used to test if the dice are unfair?Identify H0: H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are unfairH0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair Identify Ha: Ha: at least one p ≠ 1/6, implying the dice are unfairHa: at least one p ≠ 1/6, implying the dice are fair (b) What is the Expected count for each side, for these 66 rolls?
Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 120 people living in Gastown and finds that 21 have an annual income that is below the poverty line. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 17.50% (21/120) of Gastown residents are living below the poverty line. ? B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 21/120. C. If another random sample of 120 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living below…
Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 123 people living in Gastown and finds that 24 have an annual income that is below the poverty line. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 19.51% (24/123) of Gastown residents are living below the poverty line. ? + B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 24/123. ? + C. If another random sample of 123 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living…
QUESTION 1 A multiple-choice test involves 20 questions, with four choices for each answer. a. If you guessed the answers to all questions at random, what mark out of 20 would you expect to get? b. If you know the correct answer to eight of the questions, what is your expected score out of 20?

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