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    Chi-Squared Test

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    Goodness of fit

    A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the following frequency distribution. At the .10 significance level, can we conclude that the die is fair? Show how equations were computed. Outcome Frequency 1 3 2 6 3 2 4 3 5 9 6 7

    Chi Square Hypothesis Testing

    Level of education attained by the women from a rural region is divided into three categories: can read/write degree; primary degree; secondary and above degree. A demographer estimates that 28% of them have can read/write degree, 61% have primary degree and 11% have higher secondary degree. In order to verify these percentages,

    Sample

    Using AIU's large database of survey responses from the Unit 1 individual project, complete all of the following: Work through a t-test to compare the means of two groups of data. One possible example is to compare the tenure of females to the tenure of males. Select one of the quantitative variables from the DataSet (include

    Chi-square goodness of fit analysis

    An EMT Service keeps records of emergency calls. A study of 150 five-minute time intervals resulted in the distribution of number of calls as follows. For example, during 18 of the five-minute intervals, no calls occurred. USe the chi-sqaure goodness-of-fit test and significance level =.01 to determine whether this distributi

    Chi square hypothesis test for independence of variables

    1) Two hundred managers from various levels were randomly selected and interviewed regarding their concern about environmental issues. The response of each person was tallied into one of three categories: no concern, some concern, and great concern. The results were: Level of Management No Concern Some Concern Great Concern To

    Rank correlation and chi square

    15.12 For many years TV executives used the guideline that 30 percent of the audience were watching each of the prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 500 viewers in the Tampa-St. Petersburg, Florida, area last Monday night showed that 165 homes were tuned in to th

    Nonparametric Methods: Chi-Square Application Problem

    For many years TV executives used the guideline that 30 percent of the audience were watching each of the prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 500 viewers in the Tampa-St. Petersburg, Florida, area last Monday night showed that 165 homes were tuned in to the ABC a

    Chi square inferential tests

    Say we collected salary figures from our HR department and we knew to the exact dollar what everyone made this year and last year (interval/ratio data). We ran a parametric test (z or t) to see if there was a difference and our answer was significant at the 0.05 level. But let us assume that for some reason HR did not want to

    Statistics and Probabilities

    Work through a t-test to compare the means of two groups of data. One possible example is to compare the tenure of females to the tenure of males. Ensure that you begin by stating the null and alternative hypotheses. Your final answer should point out if the null is confirmed or rejected and why. Please show as much work as poss

    Critical value of the Chi-square test

    The null hypothesis and the alternate are: H0: The cell categories are equal H1: The cell categories are not equal Category Observed A 10 B 20 C 30 What is the critical value of the Chi-square? Compute the value of Chi-square. What is your decision regarding H0?

    Buyer Behavior

    Read Case 3.4 Pampers Develops a Rash - A Rash Share of Market Share in your text (pages 688-689). Using SPSS and the SPSS data (Case3.4Pampers_Data.Sav), do the following: Run a frequency for the dependent variable, brand preference, and show a bar graph. Write a one - two sentence summary of what it tells you. Examine ho

    Chi square goodness of fit test, ANOVA

    1) A sales manager is curious whether day of the week makes any difference in number of sales made. She decides to sample the records to determine if sales are distributed evenly throughout the six-day workweek. The sample results are: Day of Week Sales Made Monday 6 Tuesday 9 Wednesday 11 Thursday 10 Friday 10 Saturda

    Statistical Independence Testing

    P(A and B) = P(A) P(B) OR P(A|B) = P(A) BUT, I seem to recall reading elsewhere that while an inequality can be assumed to mean DEPENDENCE, and equality may or may NOT mean independence. Is that correct? If so, how can one really PROVE independence?

    Nonparametric methods: chi-square

    13. The director of advertising for the Carolina Sun Times, the largest newspaper in the Carolinas, is studying the relationship between the type of community in which a subscriber resides and the section of the newspaper he or she reads first. For a sample of readers, she collected the following sample information.

    Anova -- chi square - "Mall of the Dakotas"

    The chief of security for the Mall of the Dakotas was directed to study the problem of missing goods. He selected a sample of 100 boxes that had been tampered with and ascertained that for 60 boxes of the boxes, the missing pants, shoes and so on were attributed to shoplifting. For 30 of the boxes employees had stolen the goods,

    Test for difference in mean using ANOVA and Chi Square

    There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed at each hospital last week. At the .05 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week? Day Number of Surgeries

    Confidence Intervals for a Random Sample : Chi-Square Test

    Let x1,...,x20 be a random sample from N(μ, σ^2) where σ^2 s estimated by s^2. If a 90% CI for μ is (19.170, 21.138) a. Obtain a 95% CI for σ^2. b. Obtain a 95% prediction interval for a new single observation.

    Chi-Squared Test of Homogeneity and Sign Test

    1. Explain the chi-square test of homogeneity and show he formula for the test statistics for the test of homogeneity. 2. Describe a sign and test and show the six steps of the test-of-hypothesis procedure.

    Multinomial Experiments and Chi-Square Distribution vs. Bell-Shaped Curve

    1. Chapter 10 introduces us to multinomial experiments. What is the difference between a multinomial and a binomial experiment? Please give me an example. ? Multinomial experiment: Experiment with a fixed number of independent trials, where each outcome falls into exactly one of several categories. ? Binomial experiment: Ex

    Chi-Square Tests: Dice Rolling

    5.7.3 A die was cast n=120 independent times and the following data resulted: Spots up 1 2 3 4 5 6 Freq b 20 20 20 20 40-b If we use a Chi-square test, for what values of b would the hypothesis that the die is unbiased by rejected at the 0.025 significance level? Please see the attachment.

    Chi-Square Test: Example Problem

    How is this problem figured out using a chi-square test? In a particular market, there are three commercial television stations, each with its own evening news program from 6:00 to 6:30 P.M. According to a report in this morning's local newspaper, a random sample of 150 viewers last night revealed 53 watched the news on WNAE

    Chi-Square

    How is this problem figured out using a chi-square test? The chief of security for the Mall of the Dakotas was directed to study the problem of missing goods. He selected a sample of 100 boxes that had been tampered with and ascertained that for 60 of the boxes, the missing pants, shoes, and so on were attributed to shoplifti

    Chi -square

    (A) What are the two variables being examined? (B) Is the test significant? That is, is the likelihood of the arrangement of values in this distribution being due to chance less than .05? (C) Discuss the values of Chi-square, the degrees of freedom, and p shown in the results line. (D) Can it be reasonably be conclud

    Chi square goodness of fit test

    Please see the attached file for full problem description. --- A student of architecture takes a trip to France to make visits to the 92 cathedrals of the Roman Catholic Church in France. France is divided into 9 regions (excluding overseas territories). During his trips he visits 45 different cathedrals and the number of vi

    Frequency table, Chi square statistic: a) Assuming the events are not independent, what is the probability thah someone lives in the Northeast market area and prefers brand 1? b) Assuming the events are not independent, what is the probability that someone lives in the midwest market area and prefers brand 2? c) Is the Chi-square statistic = 66.3?

    Your colleague, Jerry Martinez, called in sick with the flu today. Your secretary hands you his personal message as you walk in. "Sorry to bother you again, good buddy, but the boss is desperate for this analysis, and I'm under the weather. It contains some missing values, but I think there is enough information for you to compl

    Test of Hypothesis using chi-squared test

    A random sample of 100 adults as recently gathered in order to explore a possible relationship between alcohol consumption and high blood pressure. The results are provided in the contingency table below. Your job is to determine if drinking status is independent of high blood pressure. High Blood