Math  /  Data & Statistics

Question3. You want to determine if there are differences in the caloric content of the different types of hot dogs (beef vs. mixed meat vs. vegetarian). d) What alpha level would you use with your previously selected statistical test? 0.05 0.017 0.5 0.17

Studdy Solution

STEP 1

What is this asking? We need to pick the best significance level (α\alpha) for comparing the calories in different kinds of hot dogs. Watch out! Don't mix up α\alpha values with *p*-values or other statistical thresholds.

STEP 2

1. Understand Alpha
2. Choose the Right Alpha

STEP 3

Alright, so, α\alpha is like setting the sensitivity of our calorie-detecting radar.
It's the probability of saying there's a real difference in calories when there actually *isn't*.
It's like accidentally thinking a veggie dog has way more calories than a beef dog when, really, they're basically the same.

STEP 4

A *lower* α\alpha means we're being *super careful* and need *stronger evidence* to say there's a difference.
A *higher* α\alpha means we're a little more relaxed about being wrong.

STEP 5

In most cases, especially when we're talking about food and calories, α=0.05\alpha = 0.05 is the gold standard.
It's a good balance between being careful and not needing a mountain of hot dogs to prove our point.

STEP 6

α=0.017\alpha = 0.017 or α=0.17\alpha = 0.17 are less common. α=0.5\alpha = 0.5 is *way* too high!
That means we'd have a **50%** chance of being wrong about the calories, and that's just not good science.

STEP 7

The best alpha level to use is α=0.05\alpha = 0.05.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord