The favorite sports of students in a statistics class are shown in the following fable. Students' Favorite Sports 5. Gerardo 6. Marissa 7. Angelica 8. Harold Soccer 9. Anas None 1. Calvin 2. Damon 3. Amy 4. Frank Complete parts (a) through (c) below. Football Hockey Hockey 10. Kat 11. Craig 12. Keith None None Football None None Baseball Hockey a Suppose technology randomly selects the following values: 3, 2, 12, 10, 6. 11. Use this random sample to find the proportion of students who prefer none. LType an integer or a simplified fraction.) b. Suppose technology randomly selects the following values: 3, 6, 5, 10, 2, 7. Use this random sample to find the proportion of students who prefer none. Type an integer or a simplified fraction.) c. Are the results in parts (a) and (b) equal? If yes, would all randomly selected samples of size 6 give the same results? If not, explain why this happened. O A. They are equal, because by definition all random samples must be. O B. They are not equal, because if two simple random samples have the same proportion, they cannot be different samples. OC. They are equal, although not all simple random samples must be. O D. They are not equal, because using simple random samples can lead to different samples being collected.

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The favorite sports of students in a statistics class are shown in the following table.
Students' Favorite Sports O
5. Gerardo
6. Marissa
7. Angelica
8. Harold
None
9. Anas
10. Kat
11. Craig
12. Keith
Soccer
1. Calvin
2 Damon
Football
Hockey
None
Hockey
Hockey
None
Football
None
3. Amy
4. Frank
None
Baseball
Complete parts (a) through (c) below.
a Suppose technology randomly selects the following values: 3, 2, 12, 10, 6. 11. Use this random sample to find the proportion of students who prefer none.
|Type an integer or a simplified fraction.)
b Suppose technology randomly selects the following values:3, 6, 5, 10, 2, 7. Use this random sample to find the proportion of students who prefer none.
券
(Type an integer or a simplified fraction.)
c. Are the results in parts (a) and (b) equal? If yes, would all randomly selected samples of size 6 give the same results? If not, explain why this happened.
O A. They are equal, because by definition all random samples must be.
O B. They are not equal, because if two simple random samples have the same proportion they cannot be different samples.
OC. They are equal, although not all simple random samples must be
O D. They are not equal, because using simple random samples can lead to different samples being collected.
Transcribed Image Text:The favorite sports of students in a statistics class are shown in the following table. Students' Favorite Sports O 5. Gerardo 6. Marissa 7. Angelica 8. Harold None 9. Anas 10. Kat 11. Craig 12. Keith Soccer 1. Calvin 2 Damon Football Hockey None Hockey Hockey None Football None 3. Amy 4. Frank None Baseball Complete parts (a) through (c) below. a Suppose technology randomly selects the following values: 3, 2, 12, 10, 6. 11. Use this random sample to find the proportion of students who prefer none. |Type an integer or a simplified fraction.) b Suppose technology randomly selects the following values:3, 6, 5, 10, 2, 7. Use this random sample to find the proportion of students who prefer none. 券 (Type an integer or a simplified fraction.) c. Are the results in parts (a) and (b) equal? If yes, would all randomly selected samples of size 6 give the same results? If not, explain why this happened. O A. They are equal, because by definition all random samples must be. O B. They are not equal, because if two simple random samples have the same proportion they cannot be different samples. OC. They are equal, although not all simple random samples must be O D. They are not equal, because using simple random samples can lead to different samples being collected.
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