Answer:
Step-by-step explanation:
Make denominators same:
Add the numerators:
Apply the rule:
Therefore,
Cancel out common factor of 2x+1:
If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
In this question,
A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.
One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).
A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.
Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
Learn more about p-value here
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Answer:
k = 10.5
Step-by-step explanation:
8/7 = 12/k
Using cross products
8k = 7*12
8k = 84
Divide each side by 8
8k/8 = 84/8
k = 10.5
Answer:
1 and 101/264
Step-by-step explanation:
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Hope this helps!
-Josh
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