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Consider the following frequency table of 50 observations on the random variable X: Value 1 2 3 or more Observed 4 21 10 15 Expected 8.8989 17.7979 14.8315 8.4717 Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit test with a = 0.05, degrees of freedom (k – p – 1) = 3 %3D Question 1: State the parameter of interest Question 2: Formulate the null and alternative hypothesis Question 3: Find the value of the critical Chi-Square, xá, k-p-1 Question 4: Test the hypothesis if the distribution of the random variable X follows the binomial distribution

Consider the following frequency table of 50 observations on the random variable X: Value 1 2 3 or more Observed 4 21 10 15 Expected 8.8989 17.7979 14.8315 8.4717 Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit test with a = 0.05, degrees of freedom (k – p – 1) = 3 %3D Question 1: State the parameter of interest Question 2: Formulate the null and alternative hypothesis Question 3: Find the value of the critical Chi-Square, xá, k-p-1 Question 4: Test the hypothesis if the distribution of the random variable X follows the binomial distribution

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Consider the following frequency table of 50 observations on the random variable X: Value Observed 1 2 10 3 or more 4 21 15 Expected 8.8989 17.7979 14.8315 8.4717 Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit test with a = 0.05, degrees of freedom (k – p – 1) = 3 Question 1: State the parameter of interest Question 2: Formulate the null and alternative hypothesis Question 3: Find the value of the critical Chi-Square, xá, k-p-1 Question 4: Test the hypothesis if the distribution of the random variable X follows the binomial distribution
Transcribed Image Text:Consider the following frequency table of 50 observations on the random variable X: Value Observed 1 2 10 3 or more 4 21 15 Expected 8.8989 17.7979 14.8315 8.4717 Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit test with a = 0.05, degrees of freedom (k – p – 1) = 3 Question 1: State the parameter of interest Question 2: Formulate the null and alternative hypothesis Question 3: Find the value of the critical Chi-Square, xá, k-p-1 Question 4: Test the hypothesis if the distribution of the random variable X follows the binomial distribution
v Question 1 a. Because X2 X2 reject the null hypothesis. Distribution is binomial. a „k -p – 1 v Question 2 b. Because X2 > X² reject the null hypothesis. Distribution is not binomial `a ,k -p – 1 Question 3 c. Ho: Distribution is binomial Question 4 H1: Distribution is not binomial d. Parameter of interest is the distribution of the random variable X е. 12.84 f. Ho: Distribution of random variable X is not binomial H1: Distribution of random variable X is binomial g. 7.81
Transcribed Image Text:v Question 1 a. Because X2 X2 reject the null hypothesis. Distribution is binomial. a „k -p – 1 v Question 2 b. Because X2 > X² reject the null hypothesis. Distribution is not binomial `a ,k -p – 1 Question 3 c. Ho: Distribution is binomial Question 4 H1: Distribution is not binomial d. Parameter of interest is the distribution of the random variable X е. 12.84 f. Ho: Distribution of random variable X is not binomial H1: Distribution of random variable X is binomial g. 7.81
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