Question

Sixty-eight (68) randomly selected people were asked to test the efficiency of a new style of game controller. The frequencies for successful completion of the test and the handedness of the subjects are recorded below. Test the claim that this new device functions independently of handedness. Use α = .05 .

               Successful   Unsuccessful
Left-handed        12             22
Right-handed       18             16

15) Express the claim in symbolic form.

16)What is the alternative hypothesis, H₁?

Group of answer choices

A) At most one proportion is different.

B) p_Left-handed ≥ p_Right-handed

C) p_Successful ≠ p_Unsuccessful

D) Independent

E) p_Left-handed > p_Right-handed

F) More than one proportion is different.

G) p_Successful < p_Unsuccessful

H) Fewer than one proportion is different.

I) p_Left-handed = p_Right-handed

J) p_Left-handed < p_Right-handed

K) At least one proportion is different.

L) p_Successful ≥ p_Unsuccessful

M) p_Successful > p_Unsuccessful

N) p_Left-handed ≠ p_Right-handed

O) p_Left-handed ≤ p_Right-handed

P) Dependent

Q) p_Successful = p_Unsuccessful

R) p_Successful ≤ p_Unsuccessful

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

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

19)What is the statistical conclusion?

Group of answer choices

A) Fail to reject H₀

B) Reject H₀

20) State the conclusion in words.

Group of answer choices

A) There is not sufficient sample evidence to support the claim that this new device functions independently of handedness.

B) There is sufficient evidence to warrant rejection of the claim that this new device functions independently of handedness.

C) There is not sufficient evidence to warrant rejection of the claim that this new device functions independently of handedness.

D) The sample data support the claim that this new device functions independently of handedness.

Answer 1

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Solution

15) null hypothesis: Ho:  new device works equally well for left-handed and right-handed people. p_Left-handed = p_Right-handed

16) Dependent

17) 3.841

18) 2.147

19) Fail to reject Ho

20) There is not sufficient evidence to warrant rejection of the claim that this new device functions independently of handedness.