Answer:
We can use the Laws of Exponent to rewrite both sides of the equation:
Let a¹² x a⁴ = a⁸ x a⁸
⇒ a¹²⁺⁴ = a⁸⁺⁸
a¹⁶ = a¹⁶ ✅
⇒ a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.
Explanation:
The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.
Answer:
the most conservative hypothesis is
<em>H₀</em>: <em>p</em> = 0.18, <em>Hₐ</em>: <em>p</em> > 0.18.
Step-by-step explanation:
The researcher wants to test whether the rate of smoking among adults in Chicago is greater than the national rate of 18% or not.
The hypothesis for this test can be defined as follows:
Null Hypothesis (): The rate of smoking among adults in Chicago is same as the national rate, i.e. <em>p</em> = 0.18.
Alternate Hypothesis (): The rate of smoking among adults in Chicago is greater than the national rate, i.e. <em>p</em> > 0.18.
So the most conservative hypothesis is <em>H₀</em>: <em>p</em> = 0.18, <em>Hₐ</em>: <em>p</em> > 0.18.