A blind taste test is conducted to determine which of two colas, Brand A or Bran

Question

A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individ uals are randomly asked to drink one of the two types of cola first, followed by the other cola, and A. Conduct a hypothesis test at the 0.06 level of significance to see the preference of the two then asked to disclose the drink they prefer. Results of the taste test indicate that 65 of 100 individuals prefer Brand brands is a Brand B. bout the same. Construct a 96% confidence interval for the proportion of individuals who prefer 17. What is the Confidence Interval? 21. What is the test statistics? a. 5 b. 4 a. (0.5520,0.7480) b. (0.5620,0.7380) c. (0.5720,0.7280) d. (0.5820,0.7180) d. 2 18. What is testing? 22. What is the p-value? a, b. p c· a. 0.0627 b. 0.0027 c. 0.1027 d. 0.0327 19. Two tailed, Right-tailed, or Left-tailed? 23. What should we do? a. Two-tailed b. Right-tailed c. Left-tailed a. Reject the Ho b. Cannot reject the Ho c. Reject the H d. Accept the Ho 20. What is the critical value? 24. How to conclude? a. ±1.8808 b. -1.8808 C. ±1.5548 d. 1.5548 a. Evidence is found, so H1 is correct b. Evidence is found, so H1 is incorrect. c. Evidence is not found, so H1 is correct. d. Evidence is not found, so H is incorrect.

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p 0.5

Hypothesis test results:

96% confidence interval results:

Hence,

17. Confidence interval: (0.5520, 0.7480)

Option A is correct.

18. p; Option B is correct.

19. Two - tailed; Option A is correct.

20. + 1.8808; Option A is correct.

21. 3; Option C is correct.

22. 0.0027; Option B is correct.

23. Reject the Ho; Option A is correct.

24. Option A is correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 65 100 0.65 0.05 3 0.0027

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