A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.
Ho: Mean < .001
Ha: Mean ≥ .001
In hypothesis testing, the null hypothesis (H0) represents the default or assumed position, while the alternative hypothesis (H1) contradicts or disputes the null hypothesis.
Given the scenario, the null hypothesis would be that the proportion of Americans who have seen a UFO is equal to or greater than 1 in every one thousand. Mathematically, it can be represented as:
H0: p ≥ 0.001
On the other hand, the alternative hypothesis contests the null hypothesis and suggests that the proportion of Americans who have seen a UFO is less than 1 in every one thousand. This can be expressed as:
H1: p < 0.001
Where p represents the population proportion of Americans who have seen a UFO.
The null hypothesis (H0) for this test of significance is: The proportion of Americans who have seen a UFO is equal to or greater than 1 in every one thousand.
The alternative hypothesis (H1) for this test of significance is: The proportion of Americans who have seen a UFO is less than 1 in every one thousand.