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Answer:

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

And for this case using a significance level of
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

And for this case using a significance level of
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Current worlds population is 7.6 billion (7,600,000,000), so Japan’s population is equal to 1.67 % of the world’s population.
5
Ac= 10 inches is the diameter
Fa is the half of the circle so divided 2 to get 5
To solve this, you need to subtract 180 from 400: (400-180=220). After that (I used the fraction/proportion/variable way, but there are others), so 220/400=%(p)/100. Multiply diaganolly, so 400*p=400p, which is equal to 220*100=22000. Therefore, 400p=22000. Now, you have to isolate the variable by dividing both sides by 400: 400p/400=p, and 22000/400=55. Therefore, p=55, or %=55, so the answer is 55%, or C.