Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is p= 18.00 Mbps. The sample size is n= 21 and the test statistic is t= 1.939 P-value= (Round to three decimal places as needed.)

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### Hypothesis Testing for Data Speeds at Airports

**Objective:** Use technology to find the P-value for the hypothesis test described below.

**Claim:** The claim is that for a smartphone carrier's data speeds at airports, the mean is \( \mu = 18.00 \) Mbps.

**Sample Data:**
- **Sample Size (\( n \))** = 21
- **Test Statistic (\( t \))** = 1.939

**Task:** Calculate the P-value. (Round to three decimal places as needed.)

**P-value Calculation:**
\[ \text{P-value} = \boxed{\hspace{3cm}} \]

**Explanation of P-value:**
The P-value helps to determine the significance of the test results. It indicates the probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct.

Use statistical software or a t-distribution table to find the P-value associated with the given test statistic (t = 1.939) and the specified degrees of freedom (df = n - 1 = 20). Round the P-value to three decimal places. This value will help in deciding whether to reject or fail to reject the null hypothesis based on the significance level (\( \alpha \)).

**Note:** For detailed steps on finding the P-value using statistical software or a t-distribution table, please refer to our section on "Hypothesis Testing with T-statistics."
Transcribed Image Text:### Hypothesis Testing for Data Speeds at Airports **Objective:** Use technology to find the P-value for the hypothesis test described below. **Claim:** The claim is that for a smartphone carrier's data speeds at airports, the mean is \( \mu = 18.00 \) Mbps. **Sample Data:** - **Sample Size (\( n \))** = 21 - **Test Statistic (\( t \))** = 1.939 **Task:** Calculate the P-value. (Round to three decimal places as needed.) **P-value Calculation:** \[ \text{P-value} = \boxed{\hspace{3cm}} \] **Explanation of P-value:** The P-value helps to determine the significance of the test results. It indicates the probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct. Use statistical software or a t-distribution table to find the P-value associated with the given test statistic (t = 1.939) and the specified degrees of freedom (df = n - 1 = 20). Round the P-value to three decimal places. This value will help in deciding whether to reject or fail to reject the null hypothesis based on the significance level (\( \alpha \)). **Note:** For detailed steps on finding the P-value using statistical software or a t-distribution table, please refer to our section on "Hypothesis Testing with T-statistics."
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