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Use the following information to complete steps (a) through (d) below. A random sample of n 1 equals 125 n1=125 individuals results in x 1

Use the following information to complete steps (a) through (d) below.

A random sample of n 1 equals 125

n1=125 individuals results in x 1 equals 40

x1=40 successes. An independent sample of n 2 equals 150

n2=150 individuals results in x 2 equals 60

x2=60 successes. Does this represent sufficient evidence to conclude that p 1 less than p 2

p1

=0.01 level ofsignificance?

(a) What type of test should beused?

A.

A hypothesis test regarding the difference between two population proportions from independent samples.

Your answer is correct.

B.

A hypothesis test regarding two population standard deviations.

C.

A hypothesis test regarding the difference of two means using amatched-pairs design.

D.

A hypothesis test regarding the difference between two population proportions from dependent samples.

(b) Determine the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0 : p 1 greater than p 2

H0:p1>p2; Upper H 1 : p 1 less than p 2

H1:p1

B.

Upper H 0 : p 1 equals p 2

H0:p1=p2; Upper H 1 : p 1 greater than p 2

H1:p1>p2

C.

Upper H 0 : p 1 equals p 2

H0:p1=p2; Upper H 1 : p 1 less than p 2

H1:p1

Your answer is correct.

D.

Upper H 0 : p 1 equals p 2

H0:p1=p2; Upper H 1 : p 1 not equals p 2

H1:p1p2

(c) Use technology to calculate theP-value.

nothing

(Round to three decimal places asneeded.)

image text in transcribed
Score: 0 of 1 pt 2 of 8 (1 complete) HW Score: 6.25%, 0.5 of 8 pts 11.4.4-T Question Help Use the following information to complete steps (a) through (d) below. A random sample of n, = 125 individuals results in x, = 40 successes. An independent sample of n2 = 150 individuals results in X2 = 60 successes. Does this represent sufficient evidence to conclude that p, P2; H1: P1 P2 C. Ho: P1 = P2; H1 : P1

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