Question

A sleeping bag is tested to withstand temperatures of $–15°F$. You think the bag cannot stand temperatures that low. State the Type I and Type II errors in complete sentences.

In words, describe$1–\beta$

Short answer

The power is that the bag can't stand temperature of $–15°F$after we accept the hypothesis

Step-by-step solution

Explain β

In a statistical hypothesis test, beta ($\beta$) refers to the possibility of Type II error. Frequently, the facility of a test, which is adequate $1-\beta$rather than $\beta$the test itself, is employed as a high quality indicator for hypothesis tests.

Describe 1-β

$1-\beta$is that the test's power.

determines the probability that the test will produce the right result, i.e., that a real alternative hypothesis are going to be accepted.

As a result, the facility during this test is that the probability that the bag won't withstand temperatures of $–15°F$if we adopt the choice hypothesis.