00:01
Alright, so in the given question, the first part of our question is to conduct a hypothesis test.
00:05
So, here we have a dull hypothesis that population proportion is 0 .46, while the alternative is that the population proportion is less than 0 .46, right.
00:15
So, this is a left tail test.
00:17
Now, the size of the sample here is 2228 and the sample proportion, this is equal to 0 .39.
00:27
Now, our test statistic is computed as the difference between sample proportion and population proportion divided by the standard error.
00:36
So, this is equal to 0 .39 minus 0 .46 upon square root of 0 .46 into 1 minus 0 .46 divided by 2228.
00:50
So, this is minus 6 .63, right.
00:53
Now, the p value here will be equal to probability of z less than the test statistic value which is equal to 0 .000.
01:02
Right now, our p value here is less than alpha.
01:06
So, the decision will be to reject the null hypothesis and conclude that we have sufficient evidence that the proportion of us adults who plan to watch the 2018 winter olympics was less than the proportion who plan to do so in 2014, right.
01:24
Now, the next here is, in the next part we need to construct a confidence interval for 90 % confidence, right...