2 answers:
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Answer:
Options (2), (3) and (4) are correct.
Step-by-step explanation:
The given function is f(x) =
1). First derivative of the function = f'(x) =
f'(x) =
Since derivative is negative, function will be decreasing everywhere.
Therefore, Option (1) is incorrect.
2). Since value of the function is true for every value of all real values of x.
Domain of the function is (-∞, ∞).
Therefore, Option (2) is correct.
3). For the given domain, range of the function will be all real values of y Or (-∞, ∞)
Therefore, Option (3) is correct.
4). Function 'f' when reflected across x axis, equation of the reflected function will be g(x) = .
Therefore, Option (4) is correct.
5). For a point (3, -27),
-27 =
Therefore, Option (5) is incorrect.
Answer:
As the <em>p</em>-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.
Step-by-step explanation:
The hypothesis to determine which team spectators at a football game support is:
<em>H₀</em>: There are equal proportions of people supporting the home team and the visiting team, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: There is a higher proportion of people supporting the home team than the visiting team, i.e. <em>p</em>₁ > <em>p</em>₂.
A <em>z</em>-test for difference between proportions can be used to perform the test.
The test statistic is:
Th decision rule is:
If the <em>p</em>-value of the test is less than the significance level <em>α </em>then the null hypothesis will be rejected and vice-versa.
The commonly used significance levels are 0.01, 0.05 and 0.10.
The <em>p</em>-value of the test is computed as, <em>p</em> = 0.002.
The <em>p</em>-value of the test is less than all the significance level.
Thus, the null hypothesis will be rejected at any of the three significance level.
Conclusion:
As the <em>p</em>-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.