A blind taste test is conducted to determine which of two colas, Brand A or Bran
ID: 3319261 • Letter: A
Question
A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 65 of 100 individuals prefer Brand A Conduct a hypothesis test at the 0.06 level of significance to see the preference of the two brandsis about the same. Construct a 96% confidence interval for the proportion of individuals who prefer Brand B 1. What is the Confidence - Interval?5. What is the test statistics? a (0.5520,0.7480) b. (0.5620,0.7380) a. c. (0.5720,0.7280) d. (0.5820,0.7180) C. What is the p-value? a. 0.0627 2. What is testing? 6. b. c. 0.0027 c. 0.1027 d. 0.0327 3. 7. What should we do? Two tailed, Right-tailed, or Left-tailed? a., Two-tailed b. Right-tailed c. Left-tailed a. Reject the Ho b. Cannot reject the Ho c. Reject the H1 d. Accept the Ho What is the critical value? a_ ±1.8808 b.-1.8808 c. ±1.5548 d. 1.5548 4. 8. How to conclude? 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 Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two International Airports. His findings are summarized in the table. Determine whether the speeds were different at the = 0.06 level of significance. Direction of Travel Mean speed (feet per minute) Standard deviation(feet per minute) Sample size 9. What is the test function in calculators? Departure Arrival 252 53 40 272 50 13. What is the test statistics? a. Z - test b. T- test c. 1 - PropZTest d. 2- PropZTest e. 2-SampTTest a. -2.0651 b. -2.0851 c. -2.0751 d. -2.0951 14. What is the p-value? 10. What is testing? a. 0.0512 b. 0.0112 c. 0.0312 d. 0.0412 b. p C. 15. What should we do?Explanation / Answer
firs question
Test and CI for One Proportion
Test of p = 0.5 vs p 0.5
Sample X N Sample p 96% CI Z-Value P-Value
1 65 100 0.650000 (0.552042, 0.747958) 3.00 0.003
Using the normal approximation.
2)
Two-Sample T-Test and CI
Sample N Mean StDev SE Mean
1 40 252.0 53.0 8.4
2 50 272.0 33.0 4.7
Difference = (1) - (2)
Estimate for difference: -20.00
94% CI for difference: (-38.38, -1.62)
T-Test of difference = 0 (vs ): T-Value = -2.09 P-Value = 0.041 DF = 62
9) e
10) a
11) a
12) t-critical =1.916 b) is correct
13)
Test Statistic t = -2.0851 b) is correct
14) p-value = 0.0412 d)
15)
a)
16) A)
3)
Sample X N Sample p
1 136 451 0.301552
2 41 106 0.386792
Difference = p (1) - p (2)
Estimate for difference: -0.0852403
98% CI for difference: (-0.206224, 0.0357429)
Test for difference = 0 (vs 0): Z = -1.70 P-Value = 0.090
Fisher’s exact test: P-Value = 0.104
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