Answer:
a) Null and alternative hypothesis:

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as:

Answer:
Step-by-step explanation:
So this is just playing with the pythagorean theorem
a^2 + b^2 = c^2 with a and b as legs and c as the hypotenuse.
Let's say a is equal to 1500 so then c is 4 times b
1500^2 + b^2 = (4b)^2 Now we just treat this like a normal algebraic expression
2,250,000 = 16b^2 - b^2
2,250,000 = 15b^2
150,000 = b^2
sqrt(150,000) = b
100sqrt(15) = b
You can check this now.
1500^2 + sqrt(150,000)^2 = c^2
sqrt(2,250,000 + 150,000) = c
sqrt(2,400,000) = c
400sqrt(15) = c Which fits the requirement of c = 4b
9 is in the hundred thousands place, 8 is in the ten thousands place, 7 is in the thousands place, 1 is in the hundreds place, 6 is in the tens place, 4 is in the ones place.
Answer:
Answer: 4 Remainder :4
Step-by-step explanation:
10 | 44 |
10*4 = 40
44-40
4