6 2/9 divided by 4 times 1 1/6
1 answer:
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Answer:
The alternate hypothesis statement is, <em>p</em> ≠ 0.75.
Step-by-step explanation:
Success rate for Lena at free throws in a basketball game is, <em>p</em> = 0.75.
She decided to practice a new technique for shooting her free-throws.
Lena attempted <em>n</em> = 50 free throws. Of these 50 free throws her success rate was, .
To test whether the new technique produced significantly better or worse results she should use one-proportion <em>z</em>-test.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of attempts made using this new technique is 75%, i.e. <em>p</em> = 0.75.
<em>Hₐ</em>: The proportion of attempts made using this new technique is different from 75%, i.e. <em>p</em> ≠ 0.75.
The alternative hypothesis indicates that the test is two-tailed.
This is because Lena is not sure if the new technique increases her success rate or decreases it.
Thus, the alternate hypothesis statement is, <em>p</em> ≠ 0.75.
Answer:
Third option.
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where
As you can observe, is the reciprocal of
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of is the one shown below: