Question
Customer Response 1 Recommend 2 Not recommend 3 Recommend 4 Recommend 5 Recommend 6 Not recommend 7 Recommend 8 Not recommend 9 Not recommend 10
Customer | Response |
1 | Recommend |
2 | Not recommend |
3 | Recommend |
4 | Recommend |
5 | Recommend |
6 | Not recommend |
7 | Recommend |
8 | Not recommend |
9 | Not recommend |
10 | Recommend |
11 | Recommend |
12 | Recommend |
13 | Recommend |
14 | Not recommend |
15 | Not recommend |
16 | Recommend |
17 | Recommend |
18 | Recommend |
19 | Not recommend |
20 | Not recommend |
21 | Not recommend |
22 | Recommend |
23 | Not recommend |
24 | Not recommend |
25 | Recommend |
26 | Recommend |
27 | Recommend |
28 | Not recommend |
29 | Not recommend |
30 | Recommend |
31 | Recommend |
32 | Recommend |
33 | Recommend |
34 | Recommend |
35 | Recommend |
36 | Recommend |
37 | Recommend |
38 | Recommend |
39 | Recommend |
40 | Recommend |
41 | Recommend |
42 | Recommend |
43 | Recommend |
44 | Recommend |
45 | Not recommend |
46 | Recommend |
47 | Recommend |
48 | Recommend |
49 | Recommend |
50 | Not recommend |
51 | Recommend |
52 | Not recommend |
53 | Not recommend |
54 | Recommend |
55 | Not recommend |
56 | Recommend |
57 | Recommend |
58 | Recommend |
59 | Recommend |
60 | Recommend |
61 | Recommend |
62 | Recommend |
63 | Recommend |
64 | Not recommend |
65 | Recommend |
66 | Recommend |
67 | Recommend |
68 | Recommend |
69 | Recommend |
70 | Not recommend |
71 | Not recommend |
72 | Recommend |
73 | Recommend |
74 | Recommend |
75 | Recommend |
76 | Recommend |
77 | Not recommend |
78 | Recommend |
79 | Recommend |
80 | Recommend |
81 | Recommend |
82 | Recommend |
83 | Recommend |
84 | Recommend |
85 | Recommend |
86 | Recommend |
87 | Recommend |
88 | Recommend |
89 | Recommend |
90 | Recommend |
91 | Not recommend |
92 | Recommend |
93 | Recommend |
94 | Recommend |
95 | Recommend |
96 | Not recommend |
97 | Recommend |
98 | Recommend |
99 | Recommend |
100 | Not recommend |
101 | Not recommend |
102 | Recommend |
103 | Recommend |
104 | Recommend |
105 | Recommend |
106 | Recommend |
107 | Not recommend |
108 | Recommend |
109 | Recommend |
110 | Recommend |
111 | Not recommend |
112 | Recommend |
113 | Not recommend |
114 | Recommend |
115 | Recommend |
116 | Not recommend |
117 | Recommend |
118 | Not recommend |
119 | Recommend |
120 | Not recommend |
121 | Recommend |
122 | Recommend |
123 | Recommend |
124 | Not recommend |
125 | Recommend |
126 | Recommend |
127 | Recommend |
128 | Recommend |
129 | Recommend |
130 | Not recommend |
131 | Recommend |
132 | Recommend |
133 | Recommend |
134 | Recommend |
135 | Recommend |
136 | Recommend |
137 | Not recommend |
138 | Recommend |
139 | Not recommend |
140 | Recommend |
141 | Recommend |
142 | Not recommend |
143 | Recommend |
144 | Not recommend |
145 | Recommend |
146 | Recommend |
147 | Not recommend |
148 | Recommend |
149 | Recommend |
150 | Not recommend |
I need help with the formulas in Excel to resolve this please.
Hypothesis Testing for the Population Proportion | ||
Use a cell reference or a single formula where appropriate in order to receive full credit. | ||
1-2. In cell B3, find the number of customers who would "Recommend" the restaurant in the Data sheet. Hint: use the COUNTIF function. | ||
3. In cell B4, find the sample size of the sample of customers who responded in the Data sheet.Hint: use the COUNTA function. | ||
4. In cell B5, find the proportion of customers who would recommend the restaurant. | ||
5. In cell B6, find the standard deviation of the proportion. Hint: use the formula standard deviation = sqrt(p*(1-p)/n). | ||
6. To test the null hypothesis for the proportion of customers that would recommend the restaurant, what is the appropriate probability table to use? Choose your answer from the dropdown menu in cell B7. Options: a) Normal Standart Distribution B) T-Distribution c) Chi-squared distribution | ||
7. The manager would like to test the claim (null hypothesis) that at least 80% of the customers would recommend the restaurant. Is this a two-sided test? Choose your answer from the dropdown menu in cell B8. Options: a)No, it's a left-sided test. b) No, it's a right-sided test. c) Yes, it is two-sided. | ||
8. In cell B9, find the value of the test statistic. | ||
9. In cell B10, find the critical value from the appropriate probability table to test the claim at alpha = 0.01. Hint: use the NORM.S.INV function. | ||
10. By assessing the values in cells B9 and B10, do you reject the null hypothesis? Choose your answer from the dropdown menu in cell B11. Options: a)Yes,I reject b) No, I do not reject. | ||
11. Justify the answer you chose in cell B11. Choose your answer from the dropdown menu in cell B12. Options: a)Because the test statistic is negative. b) Because the test statistic does not fall in the rejection region. c) Because the test statistic falls in the rejection region. | ||
12. Based on your answer in cell B12, we can conclude at alpha = 0.01 that: Choose your answer from the dropdown menu in cell B13. Options: a) there is not enough evidence to reject the claim that at least 80% of the customers would recommend the restaurant. b)there is enough evidence to reject the claim that at least 80% of the customers would recommend the restaurant. | ||
13. In cell B14, find the critical value from the appropriate probability table to test the claim at alpha = 0.05. Hint: use the NORM.S.INV function. | ||
14. By assessing the values in cells B9 and B14, do you reject the null hypothesis? Choose your answer from the dropdown menu in cell B15. Options: a) Yes,I reject. b) No, I do not reject. | ||
15. Justify the answer you chose in cell B15. Choose your answer from the dropdown menu in cell B16. Options: a)Because the test statistic is negative. b) Because the test statistic does not fall in the rejection region. c) Because the test statistic falls in the rejection region. | ||
16. Based on your answer in cell B16, we can conclude at alpha = 0.05 that: Choose your answer from the dropdown menu in cell B17. Options: a) there is not enough evidence to reject the claim that at least 80% of the customers would recommend the restaurant. b)there is enough evidence to reject the claim that at least 80% of the customers would recommend the restaurant. | ||
17. In cell B18, find the observed level of significance (p-value). Hint: use the NORM.S.DIST function. | ||
18. By considering the p-value, can the same conclusion be made about rejecting or not rejecting the claim at alpha = 0.01? Choose your answer from the dropdown menu in cell B19. Options: a) Yes, since the p-value is greater than alpha we reject the claim. b) Yes, since the p-value is greater than alpha we do not reject the claim. c) No, since the p-value is greater than alpha we reject the claim. d) No, since the p-value is greater than alpha we do not reject the claim. | ||
19. By considering the p-value, can the same conclusion be made about rejecting or not rejecting the claim at alpha = 0.05? Choose your answer from the dropdown menu in cell B20. Options: a) Yes, since the p-value is greater than alpha we reject the claim. b) Yes, since the p-value is greater than alpha we do not reject the claim. c) No, since the p-value is greater than alpha we reject the claim. d) No, since the p-value is greater than alpha we do not reject the claim. | ||
20. Based on your answer in cell B11, what type of error might have been made? Choose your answer from the dropdown menu in cell B21. Options: a)Type I: Rejecting the null hypothesis that might be true. b)Type I: Not rejecting the null hypothesis that might be true. c)Type II: Rejecting the null hypothesis that might be false. d) Type II: Not rejecting the null hypothesis that might be false. | ||
21. Based on your answer in cell B15, what type of error might have been made? Choose your answer from the dropdown menu in cell B22. Options: a)Type I: Rejecting the null hypothesis that might be true. b)Type I: Not rejecting the null hypothesis that might be true. c)Type II: Rejecting the null hypothesis that might be false. d) Type II: Not rejecting the null hypothesis that might be false. |
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