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.
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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