Which is a counterexample for the conditional statement shown?
2 answers:
Answer: Any fraction with a positive numerator and a negative denominator
Step-by-step explanation:
A counterexample in math refers to when a condition is satisfied but the result is not the conclusion that the statement said it would lead to.
In this instance, the statement is that if the numerator of the fraction is larger than the denominator, the result will be greater than 1.
If the numerator is positive and the denominator is negative then the numerator is larger than the denominator because all positive numbers are larger than negative numbers on the number line. However, the result will always be less than 1.
For instance, take the following fractions;
In each case the numerator was larger than the denominator but the result was always less than 1.
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Answer:
There is not enough evidence to support the claim that union membership increased.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 12.5% = 0.125
Alpha, α = 0.05
Number of women belonging to union , x = 52
First, we design the null and the alternate hypothesis
The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.3812
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Conclusion:
Thus, there is not enough evidence to support the claim that union membership increased.
Answer: 1st option
Step-by-step explanation:
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