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Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset Vaia Explanations$ Math

OER 2018 Edition · 902 pages

ISBN: 9781938168208

Chapter 11: Q.30 (page 656)

What is the test statistic?

Short Answer

Expert verified

Test statistics is $55.888$ .

Step by step solution

Given Information

Given data:

Explanation

Test static of independence is given by,

Test statistic $= \sum_{i \times j} \frac{(O - E)^{2}}{E}$

To calculate $\frac{(O - E)^{2}}{E}$ using the formula $\frac{(B 4 - B 14)^{2}}{B 14}$ and table of the test statistic is given below,

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Most popular questions from this chapter

A teacher predict that the distribution of grades on the final exam will be and they are recorded in table 11.27

The actual distribution for a class of 20 is in table 11.28

$d f = - - - -$

Do families and singles have the same distribution of cars? Use a level of significance of $0.05$ . Suppose that $100$ randomly selected families and $200$ randomly selected singles were asked what type of car they drove: sport, sedan, hatchback, truck, van/SUV. The results are shown in Table $11.20 .$ Do families and singles have the same distribution of cars? Test at a level of significance of $0.05$ .

Read the statement and decide whether it is true or false.

The test to use to determine if a six-sided die is fair is a goodness-of-fit test.

According to an avid aquarist, the average number of fish in a $20$ -gallon tank is $10$ , with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is two. She counts the number of fish in $15$ other $20$ -gallon tanks. Based on the results that follow, do you think that the standard deviation is different from two? Data: $11; 10; 9; 10; 10; 11; 11; 10; 12; 9; 7; 9; 11; 10; 11$

Read the statement and decide whether it is true or false.

In a goodness of fit test, if the p-value is $0.0113$ , in general, do not reject the null hypothesis

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What is the test statistic?

Short Answer

Step by step solution

Given Information

Explanation

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Most popular questions from this chapter

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