Consider the following frequency table of 50 observations on the random variable X: 3 or more 15 Value 2 10 14.8315 Observed 4 21 17.7979 Expected 8.8989 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 altemative 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. 12.84 v Question 2 b. Ho: Distribution is binomial v Question 3 H: Distribution is not binomial v Question 4 c. Because X? + x? k-p-1 reject the null hypothesis. Distribution s binomial. d. H: Distribution of random variable X is not binomial H: Distribution of random variable X is binomial e. Parameter of interest is the distribution of the random variable X f. 7.81 g. Because X? > x? reject the null hypothesis. Distribution is not binomial

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Consider the following frequency table of 50 observations on the random variable X:
3 or more
Value
Observed
Expected
1
4
21
10
15
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
а. 12.84
v Question 2
b. H: Distribution is binomial
v Question 3
H;: Distribution is not binomial
v Question 4
c. Because X? + X?
reject the null hypothesis. Distribution is binomial.
a ,k-p -1
d. Hn: Distribution of random variable X is not binomial
H;: Distribution of random variable X is binomial
e. Parameter of interest is the distribution of the random variable X
f. 7.81
g. Because X? > x2
reject the null hypothesis. Distribution is not binomial
ak-p -1
Transcribed Image Text:Consider the following frequency table of 50 observations on the random variable X: 3 or more Value Observed Expected 1 4 21 10 15 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 а. 12.84 v Question 2 b. H: Distribution is binomial v Question 3 H;: Distribution is not binomial v Question 4 c. Because X? + X? reject the null hypothesis. Distribution is binomial. a ,k-p -1 d. Hn: Distribution of random variable X is not binomial H;: Distribution of random variable X is binomial e. Parameter of interest is the distribution of the random variable X f. 7.81 g. Because X? > x2 reject the null hypothesis. Distribution is not binomial ak-p -1
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