Can someone help me with these 2 problems plz
2 answers:
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Answer:
Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.
Step-by-step explanation:
In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.
The significance level of the test is, <em>α</em> = 0.02.
(1)
The hypothesis can be defined as follows:
<em>H</em>₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. .
<em>Hₐ</em>: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. .
(2)
Compute the sample proportions and total proportion as follows:
Compute the test statistic value as follows:
The test statistic value is 2.86.
(3)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
<em>p</em>-value = 0.00424 < <em>α</em> = 0.02.
The null hypothesis will be rejected at 0.02 significance level.
Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.
Answer:
The inverse of a given function
d)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that f(x) = 4x + 12
let y = 4 x + 12
4 x = y - 12
we know that y = f(x)
⇒ x = f⁻¹(y)
Put replace 'y' in 'x'
<u><em>Final answer</em></u><em>:-</em>
The inverse of a given function