Question

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 = 19.00 Mbps. The sample size is n = 21 and the test statistic is t= 1.401
P-value = (Round to three decimal places as needed)

Answer 1

Using the t-distribution, it is found that the p-value is of 0.177.

At the null hypothesis, it is tested that for a smartphone carrier's data speeds at airports, the mean is 19 Mbps, that is:

$H_0: \mu = 19$

At the alternative hypothesis, it is tested if the mean is different than 19 Mbps, that is:

$H_1: \mu \neq 19$

• We are testing if the mean is different from a value, hence it is a two-tailed test.

• The test statistic is t = 1.401.

• Sample size of n = 21, hence there are 21 - 1 = 20 df.

Inputting this information into a calculator, the p-value is of 0.177.

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