3. A researcher claims that the distribution of favorite pizza toppings among teenagers is as shown below. Topping Cheese Pepperoni Sausage Mushrooms Onions Frequency 41% 25% 15% 10% 9% 200 teenagers are randomly selected and asked what their favorite pizza topping is. The results are shown below. Cheese Pepperoni Sausage Mushrooms Onions 30 52 25 15 Topping Results (n = 200) 78 (a) Set up the appropriate Ho and Ha. (b) Calculate the test statistic. (c) Find the P-value and make your conclusion at a = .05.
3. A researcher claims that the distribution of favorite pizza toppings among teenagers is as shown below. Topping Cheese Pepperoni Sausage Mushrooms Onions Frequency 41% 25% 15% 10% 9% 200 teenagers are randomly selected and asked what their favorite pizza topping is. The results are shown below. Cheese Pepperoni Sausage Mushrooms Onions 30 52 25 15 Topping Results (n = 200) 78 (a) Set up the appropriate Ho and Ha. (b) Calculate the test statistic. (c) Find the P-value and make your conclusion at a = .05.
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![### Research Study on Favorite Pizza Toppings Among Teenagers
A researcher claims that the distribution of favorite pizza toppings among teenagers is as follows:
| Topping | Frequency |
|------------|-----------|
| Cheese | 41% |
| Pepperoni | 25% |
| Sausage | 15% |
| Mushrooms | 10% |
| Onions | 9% |
To test this claim, 200 teenagers were randomly selected and asked about their favorite pizza topping. The results are shown below:
| Topping | Results (n = 200) |
|------------|-------------------|
| Cheese | 78 |
| Pepperoni | 52 |
| Sausage | 30 |
| Mushrooms | 25 |
| Onions | 15 |
#### Tasks:
(a) Set up the appropriate null hypothesis (H₀) and alternative hypothesis (Hₐ).
(b) Calculate the test statistic.
(c) Find the P-value and make your conclusion at α = 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dfcde0a-cc8e-4f7e-b5e2-9ec6ad36a3c9%2Fac42a8f9-afb4-40b6-95c1-93e3614b9b6f%2Fc7bpgt_processed.png&w=3840&q=75)
Transcribed Image Text:### Research Study on Favorite Pizza Toppings Among Teenagers
A researcher claims that the distribution of favorite pizza toppings among teenagers is as follows:
| Topping | Frequency |
|------------|-----------|
| Cheese | 41% |
| Pepperoni | 25% |
| Sausage | 15% |
| Mushrooms | 10% |
| Onions | 9% |
To test this claim, 200 teenagers were randomly selected and asked about their favorite pizza topping. The results are shown below:
| Topping | Results (n = 200) |
|------------|-------------------|
| Cheese | 78 |
| Pepperoni | 52 |
| Sausage | 30 |
| Mushrooms | 25 |
| Onions | 15 |
#### Tasks:
(a) Set up the appropriate null hypothesis (H₀) and alternative hypothesis (Hₐ).
(b) Calculate the test statistic.
(c) Find the P-value and make your conclusion at α = 0.05.
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