An independent random sample is selected from an approximately normal population with an unknown standard deviation. find the p-value for the given set of hypotheses and t test statistic. also determine if the null hypothesis would be rejected at latex: \alphaα = 0.01. latex: h_a: \mu > 0.5, n = 26, t = 2.485

The P-value is 0.01.

The null hypothesis is rejected.

Step-by-step explanation:

If , then the null hypothesis is .

The significance level is 0.01.

The size of the sample is 26, so the degrees of freedom are 26-1=25.

The test statistic is T=2.485.

The P-value, for T=2.485 and df=25, can be looked up in a t-table.

The P-value is 0.01.

As the P-value is equal to the significance level, the effect is considered significant and the null hypothesis is rejected.

1. perpendicular

2. parallel

3. perpendicular