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A sample is taken from Airport Data Speeds to test the claim that the population mean is less than 4.00 Mbps.

The null hypothesis\({H_0}\)represents the population greater than or equal to 4. The original claim does not contain equality. So, it becomes an alternative hypothesis\({H_1}\).

Thus, the test is one-tailed.

Let\(\mu \)be the population mean of the internet speed at the airport.

The null and alternate hypotheses are as follows.

\(\begin{array}{l}{H_0}:\mu \ge 4\\{H_1}:\mu < 4\end{array}\)

The test statistic and the p-value are represented by the symbols\(t\)and p, respectively.

State the test statistic and p-value obtained fromthe second rowand the third row of the output, respectively, as follows.

\(\begin{array}{c}t = - 0.3662917532\\ \approx - 0.366\\p = 0.3578621222\\ \approx 0.3579\end{array}\)

If the p-value is less than the significance level, the null hypothesis is rejected; otherwise, it is failed to be rejected.

Assume that the significance level is 0.05. The p-value is greater than the significance level.

Thus, the null hypothesis is failed to be rejected at a 0.05 significance level

Thus, it can be concluded that there is not sufficient evidence to support the claim that the mean data speeds for the population are lesser than 4 Mbps, at a 0.05 level of significance.