Question

Data:

A randomly selected group of 35 adult American men (subscript M) was asked if they owned a handgun. 20 said yes. A randomly selected group of 40 adult American women (subscript W) was asked if they owned handgun. 21 said yes. Test the claim that the proportion of adult men who own handguns is the same as the proportion of adult women who own handguns. Use α = .05 .

Question 7: Express the claim in symbolic form.

Group of answer choices

A) p_M - p_W = 0

B) p_M - p_W ≥ 0

C) p_M - p_W ≠ 0

D) p_M - p_W > 0

E) p_M - p_W < 0

F) p_M - p_W ≤ 0

8) What is the alternative hypothesis, H₁?

Group of answer choices

A) p_M - p_W ≤ 0

B) p_M - p_W > 0

C) p_M - p_W ≥ 0

D) p_M - p_W = 0

E) p_M - p_W ≠ 0

F) p_M - p_W < 0

9) Find the critical value(s). (Round to the nearest hundredth. If more than one value is found, enter the smallest critical value.)

10) Find the value of the test statistic. (Round to the nearest ten-thousandth.)

11)What is the statistical conclusion?

Group of answer choices

A) Fail to reject H₀

B) Reject H₀

12) State the conclusion in words.

Group of answer choices

A)There is not sufficient evidence to warrant rejection of the claim that the proportion of adult men who own handguns is the same as the proportion of adult women who own handguns.

B) The sample data support the claim that the proportion of adult men who own handguns is the same as the proportion of adult women who own handguns.

C) There is sufficient evidence to warrant rejection of the claim that the proportion of adult men who own handguns is the same as the proportion of adult women who own handguns.

D) There is not sufficient sample evidence to support the claim that the proportion of adult men who own handguns is the same as the proportion of adult women who own handguns.

13)

Express the claim in symbolic form.

Group of answer choices

A) μ_d < 0

B) μ_d ≤ 0

C) μ_F - μ_W ≤ 0

D) μ_d ≥ 0

E) μ_F - μ_W ≥ 0

F) μ_F - μ_W > 0

G) μ_d ≠ 0

H) μ_F - μ_W ≠ 0

I) μ_F - μ_W < 0

K) μ_d = 0

L) μ_F - μ_W = 0

M) μ_d > 0

Answer 1

(12)  There is not sufficient sample evidence to support the claim that the proportion of adult men who own handguns is the same as the proportion of adult women who own handguns.