Question

(For Question #’s 15-19) Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station.

15. What is the null hypothesis?
A. p = 0.36
C. p ¹ 0.36
B. p = 0.41
D. p ¹ 0.41

16. What is the value of the z-statistic?
A. 1.02
B. 1.22
C. -1.02
D. -1.22

17. What is the p-value?
A. 0.3461
B. 0.1539
C. 0.3078
D. 0.0100

18. What are the critical values if the level of significance is 0.10?
A. +1.28
B. ±1.65
C. +2.58
D. +1.96

19. Referring to YOUR answers for #16 and #18, what is the conclusion:

Answer 1

ANSWER:

Given that,

15)What is the null hypothesis?
Ho: p =0.41
Ha: p < 0.41

Answer: option(B) is correct

16. What is the value of the z-statistic?

z(0.36) =(-p)/sqrt(p(1-p)/n)

= (0.36-0.41)/sqrt(0.41*0.59/100)

= -1.0166

= -1.02

Answer: option (c) correct

17. What is the p-value?

p-value = P(z > -1.02)

p-value =1- P(z < -1.02)

p-value = 1-0.15386

p-value = 0.8461

Answer : option (A) is correct

18. What are the critical values if the level of significance is 0.10

level of significance is == 0.10

Critical Value of Z (Right Tailed): +1.28

Z_0.10= +1.28

Answer: option(A) is correct

19. Referring to YOUR answers for #16 and #18, what is the conclusion:

z= -1.02 < Z_0.10= +1.28 then ,

Since the test stat is not in the reject interval, fail to reject Ho.

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