00:01
Alright, so in the given question, we have been asked to conduct a hypothesis test, right? so in this case, the null hypothesis is that population proportion is 0 .25, while the alternative hypothesis is population proportion is different from 0 .25.
00:18
So this is a two -tailed hypothesis test, right? now, here the size of the sample is 448 plus 155, that is 603.
00:31
The number of favorable outcome that is the yellow piece, this is 155.
00:38
So our sample proportion is x divided by n, that is 155 divided by 603, which is 0 .257.
00:47
Right now our test statistic value here, this is sample proportion minus population proportion divided by a square root of population proportion into 1 minus population proportion divided by sample size.
01:00
So this is equal to 0 .257 minus 0 .35 divided by square root of 0 .25 into 1 minus 0 .25 divided by sample size, which is 603, right? so this will be equal to 0 .398.
01:19
Now here it's a two tail test.
01:21
So our p value, this will be equal to twice the probability of z greater than 0 .398...