The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 5.00 Mbps. Conduct using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. a Click the icon to view the display from technology. Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? B. Ho: H= 5.00 Mbps H:µ<5.00 Mbps O A. Ho: H<5.00 Mbps H:µ= 5.00 Mbps OC. Ho: u= 5.00 Mbps O D. Ho: u= 5.00 Mbps H: u> 5.00 Mbps H: µ#5.00 Mbps Identify the test statistic. O(Round to two decimal places as needed.) Display from technology T-Test p<5.00 t= -0.213135 p=0.416103 X= 4.82 Sx = 5.665316
The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 5.00 Mbps. Conduct using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. a Click the icon to view the display from technology. Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? B. Ho: H= 5.00 Mbps H:µ<5.00 Mbps O A. Ho: H<5.00 Mbps H:µ= 5.00 Mbps OC. Ho: u= 5.00 Mbps O D. Ho: u= 5.00 Mbps H: u> 5.00 Mbps H: µ#5.00 Mbps Identify the test statistic. O(Round to two decimal places as needed.) Display from technology T-Test p<5.00 t= -0.213135 p=0.416103 X= 4.82 Sx = 5.665316
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![**Hypothesis Testing for Smartphone Carrier's Data Speeds**
**Problem Overview:**
A smartphone carrier wants to test the claim that their data speeds at airports come from a population with a mean less than 5.00 Mbps. Using a significance level of 0.05, conduct a hypothesis test to evaluate this claim. This involves identifying the null and alternative hypotheses, the test statistic, the P-value, and the conclusion regarding the claim.
**Identifying Hypotheses:**
Given options:
A. H₀: μ < 5.00 Mbps
H₁: μ = 5.00 Mbps
B. **H₀: μ = 5.00 Mbps**
**H₁: μ < 5.00 Mbps**
C. H₀: μ = 5.00 Mbps
H₁: μ > 5.00 Mbps
D. H₀: μ = 5.00 Mbps
H₁: μ ≠ 5.00 Mbps
**Correct Choice: B**
Null Hypothesis (H₀): μ = 5.00 Mbps
Alternative Hypothesis (H₁): μ < 5.00 Mbps
**Test Statistic and Results Display:**
A T-Test was conducted, and the following results were obtained:
- **Hypothesis tested:** μ < 5.00
- **t-value = -0.213135**
- **p-value = 0.416103**
- **Sample mean (x̄) = 4.82**
- **Sample standard deviation (Sₓ) = 5.665316**
- **Sample size (n) = 45**
**Analysis:**
- **Test Statistic (t)**: -0.21 (when rounded to two decimal places)
**Understanding the Graph:**
The graph (not visualized here) typically would display the t-distribution curve indicating the critical region for a one-tailed test to the left of the mean, showing the position of the test statistic in relation to the critical value.
**Conclusion:**
Given the p-value of 0.416103, which is greater than the significance level of 0.05, there is insufficient evidence to reject the null hypothesis. Therefore, we do not have enough statistical evidence to support the claim that the mean data speed is less than 5.00 Mbps.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf0e04d1-c41a-4f4e-8b01-b7d35ac15e88%2Fc23ac393-8d97-4ee2-bc0a-d4088bd09bb0%2Fw9pk6fv_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing for Smartphone Carrier's Data Speeds**
**Problem Overview:**
A smartphone carrier wants to test the claim that their data speeds at airports come from a population with a mean less than 5.00 Mbps. Using a significance level of 0.05, conduct a hypothesis test to evaluate this claim. This involves identifying the null and alternative hypotheses, the test statistic, the P-value, and the conclusion regarding the claim.
**Identifying Hypotheses:**
Given options:
A. H₀: μ < 5.00 Mbps
H₁: μ = 5.00 Mbps
B. **H₀: μ = 5.00 Mbps**
**H₁: μ < 5.00 Mbps**
C. H₀: μ = 5.00 Mbps
H₁: μ > 5.00 Mbps
D. H₀: μ = 5.00 Mbps
H₁: μ ≠ 5.00 Mbps
**Correct Choice: B**
Null Hypothesis (H₀): μ = 5.00 Mbps
Alternative Hypothesis (H₁): μ < 5.00 Mbps
**Test Statistic and Results Display:**
A T-Test was conducted, and the following results were obtained:
- **Hypothesis tested:** μ < 5.00
- **t-value = -0.213135**
- **p-value = 0.416103**
- **Sample mean (x̄) = 4.82**
- **Sample standard deviation (Sₓ) = 5.665316**
- **Sample size (n) = 45**
**Analysis:**
- **Test Statistic (t)**: -0.21 (when rounded to two decimal places)
**Understanding the Graph:**
The graph (not visualized here) typically would display the t-distribution curve indicating the critical region for a one-tailed test to the left of the mean, showing the position of the test statistic in relation to the critical value.
**Conclusion:**
Given the p-value of 0.416103, which is greater than the significance level of 0.05, there is insufficient evidence to reject the null hypothesis. Therefore, we do not have enough statistical evidence to support the claim that the mean data speed is less than 5.00 Mbps.
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