This is a problem of logic. So we need to identify what the conditional statement means. In logic, there are several operators, one of them is the conditional operator. <span>As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.
<u>Symbol:</u> </span>→
<u>Parts of Conditional:</u> Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent<span>.
</span>So let's analyze each case:<span>
Case 1. </span><span>Analyze the conditional statement and complete the instructions that follow.
</span><u>Statement:</u><em> You will receive the trophy if you win the championship match.</em>
We can rewrite this in a standard form of the conditional operator, that is:
A→B: If you win the championship match then you will receive the trophy
A: You win the championship match
B: You will receive the trophy
<u>Hypothesis:</u> You win the championship match
<u>Conclusion:</u> You will receive the trophy
Case 2.
According to the problem we have:
<u>Hypothesis:</u> You will receive the trophy.
<u>Conclusion:</u> Y<span>ou win the championship match
</span>
A: You will receive the trophy.
B: You win the championship match
We can rewrite this in an standard form of the conditional statement, that is:
A→B: If you will receive the trophy then you win the championship match
Case 3.
According to the problem we have:
<span><u>Hypothesis:</u> You do not win the championship match.
<u>Conclusion:</u> You will not receive the trophy
</span>
A: You do not win the championship match.
B: You will not receive the trophy
We can write this in a conditional statement:
A→B: If you do not win the championship match then you will not receive the trophy
Case 4.
According to the problem we have:
<span><u>Hypothesis: You win the championship match</u>
<u>Conclusion:</u> You will receive the trophy
</span>
We can rewrite this in a conditional statement:
A: You win the championship match
B: You will receive the trophy
We can write this in a conditional statement:
A→B: If you win the championship match then you will receive the trophy
Case 5.
According to the problem we have:
<u>Hypothesis:</u> Y<span>ou will not receive the trophy
</span><u>Conclusion:</u> <span>you do not win the championship match
</span>
A: You will not receive the trophy
B: You do not win the championship match
We can write this in a conditional statement:
A→B: If you will not receive the trophy then you do not win the championship match.
Answer:
.00000008025
Step-by-step explanation:
Answer:
Type I error: The correct option is (C).
Type II error: The correct option is (D).
Step-by-step explanation:
The type-I-error is the probability of rejecting the null hypothesis when the null hypothesis is true.
The type-II-error is the probability of filing to reject the null hypothesis when in fact it is false.
The hypothesis in this problem can be defined as follows:
Null hypothesis (H₀): The percentage of adults who have a job is equal to 88%.
Alternate Hypothesis (Hₐ): The percentage of adults who have a job is different from 88%.
The type-I-error in this case will be committed when we conclude that the percentage of adults who have a job is different from 88% when in fact it is equal to 88%.
The type-II-error in this case will be committed when we conclude that the percentage of adults who have a job is equal to 88% when in fact it is different than 88%.
There are 5 even numbers and 7 numbers total. So it would be 5/7 because that's how many even numbers there are out of those 7 numbers.
