The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the α=0.1 level of significance. Category 1 Category 2 Category 3 Failures 32 51 57 Successes 39 54 73 State the hypotheses. Choose the correct answer below. A. H0: The categories of the variable and success and failure are independent. H1: The categories of the variable and success and failure are dependent. B. H0: The categories of the variable and success and failure are dependent. H1: The categories of the variable and success and failure are independent. C. H0: p1=p2=p3 H1: At least one of the proportions is different from the others. D. H0: μ1=E1 and μ2=E2 and μ3=E3 H1: At least one mean is different from what is expected. What is the P-value? nothing (Round to three decimal places as needed.) What conclusion can be made? A. The P-value is greater than or equal to α, so reject H0. There is sufficient evidence that the categories of the variable and success and failure are dependent. B. The P-value is less than α, so do not reject H0. There is sufficient evidence that the proportions are different from each other. C. The P-value is less than α, so reject H0. There is not sufficient evidence that the categories of the variable and success and failure are dependent. D. The P-value is greater than or equal to α, so do not reject H0. There is not sufficient evidence that the proportions are different from each other.

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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The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the

α=0.1

level of significance.

	Category 1	Category 2	Category 3
Failures	32	51	57
Successes	39	54	73

State the hypotheses. Choose the correct answer below.

H0:

The

categories of the variable

and

success and failure

are independent.

H1:

The

categories of the variable

and

success and failure

are dependent.

H0:

The

categories of the variable

and

success and failure

are dependent.

H1:

The

categories of the variable

and

success and failure

are independent.

H0:

p1=p2=p3

H1:

At least one of the proportions is different from the others.

H0:

μ1=E1

and

μ2=E2

and

μ3=E3

H1:

At least one mean is different from what is expected.

What is the P-value?

nothing

(Round to three decimal places as needed.)

What conclusion can be made?

The P-value is

greater than or equal to

α,

reject

H0.

There is

sufficient

evidence that the

categories of the variable

and

success and failure

are dependent.

The P-value is

less than

α,

do not reject

H0.

There is

sufficient

evidence that the proportions are different from each other.

The P-value is

less than

α,

reject

H0.

There is

not sufficient

evidence that the

categories of the variable

and

success and failure

are dependent.

The P-value is

greater than or equal to

α,

do not reject

H0.

There is

not sufficient

evidence that the proportions are different from each other.

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