00:01
Hello student, it is given that one of the botanist experiment is yielded 516 offspring.
00:12
So here we have given n is equals to 516 offspring with 130 of those having yellow pods.
00:20
So here x is equals to 132 or 26 % that is p cap is equal to 0 .26.
00:29
Now, according to a genetic theory 25 % of yellow offspring have a yellow pods.
00:35
Does result have a statistical significance? so here we use proportion test to test for the statistical significance.
00:44
So here our alternative hypothesis is p not equal to 0 .25.
00:51
Now here we use one sample proportion test.
00:54
So here z is equal to p cap minus p divided by square root of p into 1 minus p divided by n.
01:07
Now we substitute the value.
01:09
So here p cap is equal to 0 .26 minus 0 .25 divided by square root of 0 .26 into 1 minus 0 .26 divided by 516.
01:30
Now solving it will gives the value of a statistic z which is equal to 0 .4737...