What is the range of the function y = x?? Oyo oxio all real numbers
1 answer:
Answer:
All Real Numbers
General Formulas and Concepts:
<u>Algebra I</u>
- Range is the set of y-values that are outputted by function f(x)
Step-by-step explanation:
If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.
If that is the case, then that means that there is no restrictions on the y-values.
Therefore, our range is (-∞, ∞) or All Real Numbers.
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Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is = 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:
Using the Z test statistics which can be expressed by the formula:
Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.