Answer:
3.5
Step-by-step explanation:
These are similar triangles.
BC:AC = BD:AD
6:5 is the ratio.
Then, simply multiply:
4.2 x 5/6 = 3.5
So, x = 3.5!
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: 500 people
Step-by-step explanation:
Let there are x people in the survey.
According to the question,
People who like football as their favorite sports = 42 % of x = 0.42 x
People who like baseball as their favorite sports = 33 % of x = 0.33 x
People who like soccer as their favorite sports = 25 % of x = 0.25 x
But, 210 people said football was their favorite sport.
⇒ 0.42 x = 210
⇒ 42 x = 21000
⇒ x = 500
Therefore, there are 500 people in the survey.
