0:00
Hello everyone.
00:01
So in this question we have to test h0, that is null hypothesis, where p, that is proportion, is equal to 0 .25 versus alternative hypothesis is proportion less than 0 .25.
00:13
Now sample proportion is 0 .17 and sample size is 100.
00:18
And we have also given that significance level is 5%.
00:21
So we need to find the test statistic value, then p value and the conclusion.
00:27
So from the above information, our number, nal hypothesis is the proportion equal to 0 .25 and alternative hypothesis is proportion less than 0 .25.
00:40
And we know that if in alternative hypothesis we have less than sign, then it is a left -tailed, left -tailed test.
00:52
Now, from the above information, sample proportion is 0 .17 and hypothesized, proportion is equal to 0 .25.
01:03
So we can find the test statistic value and we know that the formula for finding the test statistic is z equal to sample proportion minus hypothesized proportion divided by square root of hypothesized proportion multiplied by 1 minus hypothesized proportion divided by n.
01:24
That is sample size.
01:26
So on putting the values, we will get our test statistic value...