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:which grade are you
Step-by-step explanation:
If you are grade 7 to 9 I know
Answer:
? Is 41 degrees
Step-by-step explanation:
SOH CAH TOA
Hypotenuse is 60
Adjacent is 45
Hypotenuse and adjacent - Cos
(Cos inverse to find the angle)
Cos(?) = a/h
Cos(?) = 45/60
Cos-(45/60) =?
? = 41.40962211
Hope this helps!
Answer:
In the 6% account, 13,000 was deposited
In the 10% account, 20,000 was deposited
Step-by-step explanation:
Here, we are interested in calculating how much invested in each account
.
Let the amount invested be $x and $y
Mathematically;
x + y = 33,000 ••••(i)
Now let’s work with interest
6% of x + 10% of y = 2780
6/100 * x + 10/100 * y = 2780
Multiply through by 100
6x + 10y = 278000 •••••••••(ii)
From i, x = 33,000 -y
Put this into ii
6(33,000 -y) + 10y = 278000
198,000-6y + 10y = 278000
4y = 80000
y = 80,000/4 = 20,000
But x = 33,000 -y = 33,000 -20,000 = 13,000