"Trydint" bubble-gum company claims that 3 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90 confidence level. The null and alternative hypothesis in symbols would be: Ο Ho: μ < 0.3 H : μ > 0.3 Ο Ho: μ = 0.3 H₁:μ = 0.3 Ο Ho: μ ≥ 0.3 H : μ < 0.3 O Ho:p ≤ 0.3 H₁:p> 0.3 Ho:p≥ 0.3 H₁:p < 0.3 Ho: p = 0.3 H₁: p = 0.3 The null hypothesis in words would be: O The proportion of people in a sample that prefers Trydint gum is 0.3. O The average of people that prefer Trydint gum is not 0.3. O The proportion of all people that prefer Trydint gum is greater than 0.3. O The proportion of all people that prefer Trydint gum is less than 0.3. O The average of people that prefer Trydint gum is 0.3. O The proportion of people in a sample that prefer Trydint gum is not 0.3 O The proportion of all people that prefer Trydint gum is 0.3 Based on a sample of 80 people, 19 said they prefer "Trydint" gum to "Eklypse". The point estimate is: (to 3 decimals)

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### Test the Claim of Trydint Bubble-Gum Company

"Trydint" bubble-gum company claims that 3 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90% confidence level.

#### Hypothetical Testing

The null and alternative hypothesis in symbols would be:

- \( H_0 \): \( p \leq 0.3 \)
- \( H_1 \): \( p > 0.3 \)

- \( H_0 \): \( \mu = 0.3 \)
- \( H_1 \): \( \mu \neq 0.3 \)

- \( H_0 \): \( \mu \geq 0.3 \)
- \( H_1 \): \( \mu < 0.3 \)

- \( H_0 \): \( p \leq 0.3 \)
- \( H_1 \): \( p > 0.3 \)

- \( H_0 \): \( p \geq 0.3 \)
- \( H_1 \): \( p < 0.3 \)

- \( H_0 \): \( p = 0.3 \)
- \( H_1 \): \( p \neq 0.3 \)

#### Null Hypothesis in Words

The null hypothesis in words would be:

- The proportion of people in a sample that prefers Trydint gum is 0.3.
- The average of people that prefer Trydint gum is not 0.3.
- The proportion of all people that prefer Trydint gum is greater than 0.3.
- The proportion of all people that prefer Trydint gum is less than 0.3.
- The average of people that prefer Trydint gum is 0.3.
- The proportion of people in a sample that prefer Trydint gum is not 0.3.
- The proportion of all people that prefer Trydint gum is 0.3.

#### Calculation Based on Sample Data

Based on a sample of 80 people, 19 said they prefer "Trydint" gum to "Eklypse".

The point estimate is: \(\_\_\_\_\_\_\_\_\) (to 3 decimals)

The 90% confidence interval is: \(\_\_\_\_\_\_) to \(\_\_\
Transcribed Image Text:### Test the Claim of Trydint Bubble-Gum Company "Trydint" bubble-gum company claims that 3 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90% confidence level. #### Hypothetical Testing The null and alternative hypothesis in symbols would be: - \( H_0 \): \( p \leq 0.3 \) - \( H_1 \): \( p > 0.3 \) - \( H_0 \): \( \mu = 0.3 \) - \( H_1 \): \( \mu \neq 0.3 \) - \( H_0 \): \( \mu \geq 0.3 \) - \( H_1 \): \( \mu < 0.3 \) - \( H_0 \): \( p \leq 0.3 \) - \( H_1 \): \( p > 0.3 \) - \( H_0 \): \( p \geq 0.3 \) - \( H_1 \): \( p < 0.3 \) - \( H_0 \): \( p = 0.3 \) - \( H_1 \): \( p \neq 0.3 \) #### Null Hypothesis in Words The null hypothesis in words would be: - The proportion of people in a sample that prefers Trydint gum is 0.3. - The average of people that prefer Trydint gum is not 0.3. - The proportion of all people that prefer Trydint gum is greater than 0.3. - The proportion of all people that prefer Trydint gum is less than 0.3. - The average of people that prefer Trydint gum is 0.3. - The proportion of people in a sample that prefer Trydint gum is not 0.3. - The proportion of all people that prefer Trydint gum is 0.3. #### Calculation Based on Sample Data Based on a sample of 80 people, 19 said they prefer "Trydint" gum to "Eklypse". The point estimate is: \(\_\_\_\_\_\_\_\_\) (to 3 decimals) The 90% confidence interval is: \(\_\_\_\_\_\_) to \(\_\_\
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