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:
9514 1404 393
Answer:
(c) Not parallel: corresponding angles are not congruent
Step-by-step explanation:
The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.
Answer:
RT-ST=QS-ST, because subtracting the same quantity from two lines that have been stated to be equal.
Therefore RS=TQ
Angle R=Angle Q, because it is an isosceles triangle
Triangle AR
S is congruent to ATQ.
AT=AS
Because TAS is isosceles, angles 5 and 6 are equal.
Therefore, angles 4 and 7 are equal, because they are supplementary angles of the same angle.
And angles 1 and 3 are equal, because the other two angles in the triangle are equal.
The triangles RAT and QAS are congruent with SAS.
Step-by-step explanation: Can u gimme brain plz!