00:01
The manufacturer claims that more than 90 % of their tires last longer than 80 ,000 kilometers.
00:14
And it is given that in a sample of n equal to 200 tires, 10 of the tires are over, out.
00:24
Let us represent x's the number of tires which are last longer than 80 ,000 kilometers.
00:34
And this can be calculated as 200 minus 10, which is 190 tires are last longer.
00:43
Now, at alpha equal to 0 .05 significance level is taken since there is no information about the significance level.
00:54
At this significance level, we have to test the null hypothesis h0 as such that the proportion will be equal to 0 .90, which is the alternative hypothesis as the climbed of the proportion is greater than 0 .90.
01:17
Now the sample proportion p cap is calculated as x by n which is 190 divided by 200 which is 0 .99.
01:33
Now the test statistics that is calculated as p cap minus p divided by root of p into 1 minus p divided by n...