Understanding Hypotheses Quiz

What is a hypothesis?

• A mathematical equation

• A proven fact based on experiments

• A random guess without any evidence

• A statement or idea which gives an explanation to a series of observations

What happens if a hypothesis is contradicted by a single observation?

• The hypothesis is no longer relevant

• The hypothesis becomes stronger

• The hypothesis is proven to be true

• The hypothesis must be rejected or amended

What is the difference between deductive reasoning and inductive reasoning?

• Deductive reasoning is based on logical deduction, while inductive reasoning is based on accumulation of experimental evidence

• Deductive reasoning is used in science, while inductive reasoning is used in mathematics

• Deductive reasoning is used to prove hypotheses, while inductive reasoning is used to create hypotheses

• Deductive reasoning is based on intuition, while inductive reasoning is based on probability

What is the key factor in deciding to accept a hypothesis in science or industry?

• All of the above

• Implications of not accepting a true hypothesis in a timely fashion

• Cost and time implications of gathering more data

• Implications of mistakenly accepting a false hypothesis

What allows us to be very precise in accepting or rejecting hypotheses in numerical situations?

• Abstract thinking

• Mathematical theory of probability and statistics

• Random guesses

• Intuition

What does statistics show about randomness?

• There are certain patterns in randomness

• There are no patterns in randomness

• Randomness is based on intuition

• Randomness is unpredictable

What is the main purpose of hypothesis testing in mathematics?

• To create vague hypotheses

• To accept or reject hypotheses with some degree of certainty

• To reject all hypotheses

• To prove hypotheses to be true

What is the role of deductive reasoning in hypothesis testing?

• To reject all hypotheses

• To prove hypotheses to be true

• To draw logical conclusions from experimental evidence

• To create hypotheses based on intuition

What is the implication of mistakenly accepting a false hypothesis in science or industry?

• It leads to more experiments

• It has no implications

• It could have a disastrous effect on public health

• It strengthens the hypothesis

What is the implication of not accepting a true hypothesis in a timely fashion in science or industry?

• It has no implications

• It could have a negative effect on the health of many people

• It strengthens the hypothesis

• It leads to more experiments