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....

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.

Jun 06, 2022

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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....

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