00:01
Hi i'm david and i'm here to help you answer your question.
00:04
Now let me bring up your question here.
00:07
In this question we're going to perform the high -boxer testing and in this test we will test the different between the proportion.
00:17
So we in the arched node we will test b1, p1 stand from the gumm and equal to the p2 stand for the main proportion for the main.
00:30
And for the arch one, i want to see if there is a significant that the p1, it will be concluded the lower proportion of the man -favor strict gun control than women.
00:52
So the p1 smaller than the p2.
00:56
And here, looking the question, we see that for the group, will be the first sample for the man it will be the second one we have the end it will equal to the for the woman equal to the five hundred sixty four for the man we have the 58 and the x here for the man we have for the woman one three one three for the man we have the three zero seven and then in this question here we can find the p heart for each of them so this one will be p hath for the guma equal to p hd1 equal to the 313 over 564 and it will equal to the 313 divided by five six four it will equal to the zb 1 555 5 5 5 for for for the p hath 2 equal to the 307 over 58 so get equal to 307 and then dividing by the 58 equal to the 08 equal to the z -1 522 so this one we are testing from the p1 greater than the p2 and now the test statistics so the test here will be the z equal to the p hud 1 minus the p h2 divided by the square root of the b ht 1 times 1 minus p hat 1 divided by the n1 thus p h2 times 1 minus p hd 2 divided by the n2 so if we're blocking the value we're going to have the zan 5 2 number the square of 0 .5 .551 .1 equals to 564 plus p .h2 we got equal to 0 .522 times 1 minus 0 .522 dividing by the n2 equal to the 58.
03:39
If we compute this value, we should get equal to the times 1 minus the answer divided by 58 plus 0 .55 times 1 minus 0 .55 divided by the 564 and then taking the square root on the answer then we have the 0 .55 minus 0 .522 divided by the 0 .652 divided by the end.
04:18
So get the answer equal to the 1 point 1 2 4.
04:27
And now the next time we want to compute the critical value.
04:36
Now because this will be the one side test or something we call one tell test.
04:46
So therefore we will have the z under anfa.
04:50
We have the z here, alpha equal to the 0 .05.
04:55
To find this z under 0105, i need to bring up the z table...