A poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who follow at least one sport, followed by baseball at 15%, men's college football at 10%, auto racing at 6%, men's professional basketball at 5%, and ice hockey at 5%, with other sport at 26%. Consider a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results: Professional Football 113 Baseball 38 Men's College Football 47 Auto Racing 12 Men's Professional Basketball 8 Ice Hockey Find the p-value. (Round your answer to four decimal places.) 19 Other Sports 107 Do college undergraduate students differ from the general public with regard to their favorite sports? Use a = 0.05. State the null and alternative hypotheses. O Ho: Undergraduate students do not differ from the general public with regard to their favorite sports. H: Undergraduate students differ from the general public with regard to their favorite sports. O Ho: The population proportion concerning favorite sport is the same for undergraduate students and the general public for at least one of the sports listed. H₂: The population proportion concerning favorite sport is different for undergraduate students and the general public for all of the sports listed. O Ho: The population proportion concerning favorite sport is different for undergraduate students and the general public for all of the sports listed. H: The population proportion concerning favorite sport is the same for undergraduate students and the general public for at least one of the sports listed. O Ho: Undergraduate students differ from the general public with regard to their favorite sports. H: Undergraduate students do not differ from the general public with regard to their favorite sports. Find the value of the test statistic. (Round your answer to two decimal places.)

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A poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who follow at least one sport, followed by baseball at 15%, men's college football at 10%, auto racing at 6%, men's professional basketball at 5%, and ice hockey at 5%, with other sports at 26%. Consider a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport and produced the following results:

| Sport                         | Frequency |
|-------------------------------|-----------|
| Professional Football         | 113       |
| Baseball                      | 38        |
| Men's College Football        | 47        |
| Auto Racing                   | 12        |
| Men's Professional Basketball | 8         |
| Ice Hockey                    | 19        |
| Other Sports                  | 107       |

Do college undergraduate students differ from the general public with regard to their favorite sports? Use α = 0.05.

State the null and alternative hypotheses:

1. \( H_0 \): Undergraduate students do not differ from the general public with regard to their favorite sports.
   \( H_a \): Undergraduate students differ from the general public with regard to their favorite sports.

2. \( H_0 \): The population proportion concerning favorite sport is the same for undergraduate students and the general public for at least one of the sports listed.
   \( H_a \): The population proportion concerning favorite sport is different for undergraduate students and the general public for all of the sports listed.

3. \( H_0 \): The population proportion concerning favorite sport is different for undergraduate students and the general public for all of the sports listed.
   \( H_a \): The population proportion concerning favorite sport is the same for undergraduate students and the general public for at least one of the sports listed.

4. \( H_0 \): Undergraduate students differ from the general public with regard to their favorite sports.
   \( H_a \): Undergraduate students do not differ from the general public with regard to their favorite sports.

Find the value of the test statistic. (Round your answer to two decimal places.)

\[ \text{Test statistic} = \]

Find the p-value. (Round your answer to four decimal places.)

\[ \text{p-value} = \]
Transcribed Image Text:A poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who follow at least one sport, followed by baseball at 15%, men's college football at 10%, auto racing at 6%, men's professional basketball at 5%, and ice hockey at 5%, with other sports at 26%. Consider a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport and produced the following results: | Sport | Frequency | |-------------------------------|-----------| | Professional Football | 113 | | Baseball | 38 | | Men's College Football | 47 | | Auto Racing | 12 | | Men's Professional Basketball | 8 | | Ice Hockey | 19 | | Other Sports | 107 | Do college undergraduate students differ from the general public with regard to their favorite sports? Use α = 0.05. State the null and alternative hypotheses: 1. \( H_0 \): Undergraduate students do not differ from the general public with regard to their favorite sports. \( H_a \): Undergraduate students differ from the general public with regard to their favorite sports. 2. \( H_0 \): The population proportion concerning favorite sport is the same for undergraduate students and the general public for at least one of the sports listed. \( H_a \): The population proportion concerning favorite sport is different for undergraduate students and the general public for all of the sports listed. 3. \( H_0 \): The population proportion concerning favorite sport is different for undergraduate students and the general public for all of the sports listed. \( H_a \): The population proportion concerning favorite sport is the same for undergraduate students and the general public for at least one of the sports listed. 4. \( H_0 \): Undergraduate students differ from the general public with regard to their favorite sports. \( H_a \): Undergraduate students do not differ from the general public with regard to their favorite sports. Find the value of the test statistic. (Round your answer to two decimal places.) \[ \text{Test statistic} = \] Find the p-value. (Round your answer to four decimal places.) \[ \text{p-value} = \]
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