Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1,2, 3, 4, 5, and 6, respectively: 29, 32, 45, 40, 26, 28. Use a 0.01 significance level to test the claim that the outcomes are not equally likely. Does it appearthat the loaded die behaves differently than a fair die?Click here to view the chi-square distribution table.The test statistic is(Round to three decimal places as needed.)The critical value is(Round to three decimal places as needed.)State the conclusion.Ho. Thereequally likely, so the loaded diesufficient evidence to support the claim that the outcomes are not equally likely. The outcomesto behave differently from a fair die.to be

For the given data Perform chi square goodness of fit

Answered: Conduct the hypothesis test and provide…

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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Use the following information to answer the question. Researchers want to test whether the color of a vehicle ticketed for speeding has an effect on the amount of the ticket. Four vehicle colors were used for the study--red, white, black, and silver. Thirty vehicles were randomly assigned to each group. Use the output below to answer the question. Choose the correct conclusion for the hypothesis that vehicle color affects the amount of a speeding ticket. Assume all ANOVA test conditions have been satisfied. a) Reject H0. The vehicle color has no effect on the amount of the speeding ticket. b) Fail to reject H0. The vehicle color has no effect on the amount of the speeding ticket. c) Reject H0. The vehicle color has an effect on the amount of the speeding ticket. d) Fail to reject H0. The vehicle color has an effect on the amount of the speeding ticket.
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,435 1,501 Total Rooms 1,750 1,900 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let pi = population proportion of rooms occupied for current year P2 = population proportion of rooms occupied for previous year Ho : P1 – P2 less than or equal to 0 Ha : Pi – P2 greater than 0 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 25,29,48,41,26,31. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? a. The test statistic is (Round to three decimal places as needed.) b. The critical value is (Round to three decimal places as needed.)
A consumer magazine wants to compare the lifetimes of ballpoint pens of three different brands (measured in days). The magazine takes a random sample of pens of each type in the following table. What is the correct test statistic? Brand 1 Brand 2 Brand 3 382 181 238 242 140 257 216 162 241 319 218 213 a. F (2, 9) = 5.54 b.r = -.34 c. t (11) = 12.16 d.p = .027
When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 224 times. The results are displayed in the table below. Use an αα = 0.05 significance level. Complete the rest of the table by filling in the expected frequencies:Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 60 Hearts 63 Diamonds 59 Clubs 42 What are the null and alternative hypotheses?H0:H0: Ha:Ha: The degrees of freedom = The test-statistic for this data = (Please round your answer to 3 decimal places.) Based on this, we should reject the null fail to reject the null accept the null The final conclusion is ... At a sigificance level of 5%, there is insufficient evidence to conclude that the distribution of suits is not uniform. At a sigificance level of 5%, there is sufficient evidence to conclude that suits and cards are dependent. At a…
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year 1,476 1,800 Occupied Rooms Total Rooms 1,422 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let P₁= population proportion of rooms occupied for current year P2 population proportion of rooms occupied for previous year - P2 less than or equal to 0 greater than 0 Ho P1 Ha P1 P2 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year .80 X Previous Year .77 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. Previous Year p-value = 0.0166 Using a 0.05 level of significance, what is your conclusion? We can conclude that there…
A random sample of 10 compact cars, 10 mid-size cars, and 10 luxury cars were selected. The time (in seconds) each of the randomly selected cars required to accelerate from 0 to 60 mph was looked up on the Autos.com website. The results are presented below. Car Type Time (in seconds) Required to Accelerate from 0 to 60 mph Compact 9.3 8.1 10.2 8.8 9.0 9.3 7.7 9.2 9.4 8.6 Mid-Size 6.9 5.7 8.3 7.7 8.6 5.9 6.1 8.8 6.1 7.2 Luxury 5.7 6.3 5.4 4.7 6.2 7.0 5.9 5.3 6.3 5.0 Conduct a hypothesis test using ! = 0.05 to determine whether the mean time required to accelerate from 0 to 60 mph is the same for compact, mid-size, and luxury cars. (No accounting or excel, I need help solving it.)
According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. This year, a certain state kept track of the number of its 1325 complaints were for identity theft. They want to know if the data provide enough evidence to show that this state had a different proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses. Fill in the correct null and alternative hypotheses. H0:H0: HA:HA: A Type I error in the context of this problem would be A Type II error in the context of this problem would be
In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the α=0.05 significance level, test the claim that the responses occur with the same frequency. H0 : The responses to the questions occur with the same frequency. H1 : The responses to the questions do not occur with the same frequency. Response ObservedFrequency ExpectedFrequency (O−E)2E A 18 B 7 C 6 D 20 E 18 What is the χ2 test-statistic for this data? Round to four decimal places.χ2= _____________ What is the p -value? Round to four decimal places. p -value=__________
In a survey conducted by a reputable marketing agency, 231 of 1000 adults 19 years of age or older confessed to bringing and using their cell phone every trip to the bathroom (confessions included texting and answering phone calls). Complete parts (a) through (f) below. D. The sample size is large. E. Its value may change depending on the individuals in the survey. What is the source of variability in the random variable? A. The sample size B. The individuals selected to be in the study C. The question asked in the survey D. The marketing agency (e) Construct and interpret a 95% confidence interval for the population proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) OA. There is a % probability the proportion of adults 19 years of age or older who bring their cell…
A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables. Observed counts: Expected counts: The researcher would like to test these hypotheses: H0: There is no difference in the distribution of responses among these three populations.Ha: There is a difference in the distribution of responses among these three populations. The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test? χ‑2 = 0.19, df = 2χ‑2 = 0.19, df = 5χ‑2 = 0.44, df = 2χ‑2 = 0.44, df = 5

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