Question

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 1 in every ten thousand. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms

Answer 1

Statistical hypothesis:

In the statistical hypothesis testing, the null hypothesis is known as the hypothesis of no significant difference and the alternative hypothesis is contrary to the null hypothesis or it is the claim. The null hypothesis is denoted by H_O and the alternative hypothesis is denoted by H_A

Answer and Explanation:

Given Information:

• The researcher's claim is that the proportion of Americans that have seen a UFO (p) is less than 1 in every ten thousand.

The null hypothesis (H_O ) and alternative hypothesis (H_A)can be framed as,

H0:p=1

HA:p<1

It is a one (or left) tailed test as the direction is specified in the alternative hypothesis.

It is mentioned that the statistical test is conducted and the decision is fail to reject the null hypothesis. Therefore, it can be concluded that there is not sufficient evidence to support the claim that the proportion is less than 1 in ten thousand.