Answer:
C. H0: PL - PR = 0
Ha: PL - PR > 0
The null hypothesis for this case is that left-handed pitchers in a baseball league are not more likely to strike out batters than right-handed pitchers are. That is the proportion of at-bats resulting in a strikeout is significantly equal for both left-handed and right-handed pitchers.
H0: PL - PR = 0
The alternative hypothesis is that the proportion of at-bats resulting in a strikeout is significantly higher for left-handed pitchers
Ha: PL - PR > 0
PL - proportion of at-bats resulting in a strikeout for left-handed pitchers
PR - proportion of at-bats resulting in a strikeout for right-handed pitchers
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
The null hypothesis for this case is that left-handed pitchers in a baseball league are not more likely to strike out batters than right-handed pitchers are. That is the proportion of at-bats resulting in a strikeout is significantly equal for both left-handed and right-handed pitchers.
H0: PL - PR = 0
The alternative hypothesis is that the proportion of at-bats resulting in a strikeout is significantly higher for left-handed pitchers
Ha: PL - PR > 0
PL - proportion of at-bats resulting in a strikeout for left-handed pitchers
PR - proportion of at-bats resulting in a strikeout for right-handed pitchers
We will use the following law of indices (or 'index law') to check each pair of expression
![x^{ \frac{m}{n}} = ( \sqrt[n]{x} )^{m}](https://tex.z-dn.net/?f=%20x%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%28%20%5Csqrt%5Bn%5D%7Bx%7D%20%29%5E%7Bm%7D%20)
With fractional power, the denominator is the root and the numerator is the power of the term. When the denominator is 2, we usually only write the normal square symbol (√). Denominator other than 2, we usually write the value of the root, for example, the cubic root ∛
Option A - Incorrect
should equal to
![( \sqrt[7]{7} )^{5}](https://tex.z-dn.net/?f=%20%28%20%5Csqrt%5B7%5D%7B7%7D%20%29%5E%7B5%7D%20)
Option B - Correct
does equal to
Option C - Incorrect
should equal to
Option D - Incorrect
should equal to
![( \sqrt[3]{5} )^{2}](https://tex.z-dn.net/?f=%20%28%20%5Csqrt%5B3%5D%7B5%7D%20%29%5E%7B2%7D%20)
Let w represent the amount the wife receives.
.. w +2*(2/3*w) = 945,000
.. 7/3w = 945,000
.. w = (3/7)*945,000 = 405,000
The wife will receive $405,000.
Answer:
I'm so sorry I can't help haven't learned how to do that yet
