Answer:
24.
Step-by-step explanation:
The fraction of red counters in the bag = 3/5.
So you'd expect 3/5 * 40
= 120/5
= 24.
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:
677 is already in the simplest form. It can be written as 0.077922 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Hope it helps
Answer:
√3
Step-by-step explanation:
The formula for the area of a trapezoid is
Plugging in our information, we have
Combining like terms in parentheses, we have
To cancel the 1/2, we will multiply both sides by 2:
Divide both sides by 8:
Divide both sides by √2: