00:01
In a previous poll, it was found that 50 % of us adults favored providing a legal way for illegal immigrants already in the us to become citizens.
00:12
And then there was a current poll done for 100 us adults and it shows that this percentage is higher than 50%.
00:21
But a researcher conducts a hypothesis test with this data from the current poll and she finds that the increase this year is not statistically significant.
00:32
So what conclusion can we draw? so in this hypothesis test, the null hypothesis is conventionally that there is no change or no difference.
00:46
So that is, the proportion of us adults who feel this way remains at 50 % or .50.
00:55
And the alternative hypothesis here would be that the proportion has increased.
01:01
The test turned out to be not statistically significant and therefore we don't have evidence to reject the null hypothesis.
01:11
We assume the null hypothesis and unless we have enough contradictory evidence to the null hypothesis, we have to maintain the null hypothesis.
01:20
However, this does not guarantee that the null hypothesis is true.
01:26
So we have three options that we can conclude here.
01:29
First says it must be true that 50 % of the public still has this opinion this year.
01:35
So we have maintained the null hypothesis.
01:39
But that does not guarantee that it's still 50%.
01:42
We just don't have sufficient evidence to reject the null hypothesis...