Problem: The school cafeteria recently served a new kind of snack to all the senior high school. students. They want to know if more than 50% of the students like the newly served snack, thus, the cafeteria conducted a survey for asking 60 random selection of students whether they Like (1), or Do not like (0), the new snack. The responses are shown as follows: Table 1. Result of the Survey for the New Kind of Snack Student Response Student Response Student Response 1. 1 21. 1 41. 2. 1 22. 1 42. 1 3. 1 23. 0 43. 0 4. 0 24. 0 44. 0 5. 0 25. 0 45. 1 6. 26. 1 46. 0 7. 0 27. 1 47. 0 8. 1 28. 0 48. 0 9. 0 29. 1 49. 0 10. 1 30. 0 50. 1 11. 1 31. 1 51. 1 12. 1 32. 52. 0 13. 1 33. 53. 0 14. 0 34. 54. 15. 1 35. 55. 16. 0 36. 0 56. 17. 0 37. 1 57. 18. 0 38. 1 58. 0 19. 1 39. 1 59. 0 20. 0 40. 1 60. 0 Perform the relevant test of hypotheses at the 1% level of significance to prove the assertion of the school cafeteria. 0 1 1 1 0 0 1 1 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Problem:
The school cafeteria recently served a new kind of snack to all the senior high school
students. They want to know if more than 50% of the students like the newly served
snack, thus, the cafeteria conducted a survey for asking 60 random selection of
students whether they Like (1), or Do not like (0), the new snack. The responses are
shown as follows:
Table 1. Result of the Survey for the New Kind of Snack
Student
Student Response
1
Student Response
21.
1
Response
1
1.
41.
2.
1
22.
1
42.
1
3.
1
23.
0
43.
0
4.
0
24.
0
44.
0
5.
0
25.
0
45.
1
6.
26.
1
46.
0
7.
27.
1
47.
8.
28.
0
48.
9.
29.
1
49.
10.
30.
0
50.
11.
31.
1
51.
12.
32.
1
52.
13.
33.
1
53.
14.
34.
1
54.
15.
35.
0
55.
1
16.
0
36.
0
56.
1
17.
0
37.
1
57.
1
18.
0
38
1
58.
0
19.
1
39.
1
59.
0
20.
0
40.
1
60.
0
Perform the relevant test of hypotheses at the 1% level of significance to prove the
assertion of the school cafeteria.
0
0
1
0
1
1
1
1
0
1
0
0
0
1
1
0
0
0
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Answer:
Answer:
Answer:
Answer:
Answer:
Transcribed Image Text:Problem: The school cafeteria recently served a new kind of snack to all the senior high school students. They want to know if more than 50% of the students like the newly served snack, thus, the cafeteria conducted a survey for asking 60 random selection of students whether they Like (1), or Do not like (0), the new snack. The responses are shown as follows: Table 1. Result of the Survey for the New Kind of Snack Student Student Response 1 Student Response 21. 1 Response 1 1. 41. 2. 1 22. 1 42. 1 3. 1 23. 0 43. 0 4. 0 24. 0 44. 0 5. 0 25. 0 45. 1 6. 26. 1 46. 0 7. 27. 1 47. 8. 28. 0 48. 9. 29. 1 49. 10. 30. 0 50. 11. 31. 1 51. 12. 32. 1 52. 13. 33. 1 53. 14. 34. 1 54. 15. 35. 0 55. 1 16. 0 36. 0 56. 1 17. 0 37. 1 57. 1 18. 0 38 1 58. 0 19. 1 39. 1 59. 0 20. 0 40. 1 60. 0 Perform the relevant test of hypotheses at the 1% level of significance to prove the assertion of the school cafeteria. 0 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 Step 1: Step 2: Step 3: Step 4: Step 5: Answer: Answer: Answer: Answer: Answer:
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