The sum of two numbers is 18 and their difference is 4
1 answer:
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Answer:
The P-value is 0.009.
Step-by-step explanation:
We are given that after debating whether this set of hockey players can be viewed as a random sample of hockey players, they decide to run a hypothesis test anyway to practice finding the P‐value.
<em><u>We are given that the following hypothesis below;</u></em>
Null Hypothesis, : p = 0.25
Alternate Hypothesis, : p > 0.25
Now, the test statistics that was used here for the above hypothesis would be;
T.S. = ~ N(0,1)
Also, the test statistics given to us is 2.37.
<u></u>
<u>SO, the P-value of the test statistics is given by the following formula;</u>
P-value = P(Z > 2.37) = 1 - P(Z 2.37)
= 1 - 0.99111 = 0.00889 ≈ 0.009
<em>The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.99111.</em>
Therefore, the required P-value is 0.009.
Answer:
Theoretical probability = 50%
Experimental probability varies.
See below for explanation.
Step-by-step explanation:
This is a problem on theoretical and experimental probability. The results obtained would enable you understand their differences.
The theoretical probability is the result that is expected to happen, but it isn't always what eventually happens.
The theoretical probability of a coin landing on heads is ½ or 50%. This is same for tails.
The experimental probability is the probability obtained from carrying out the experiment. As this is the result of what actually happens, the experimental probability could be lesser or greater than or equal to 50%.
You are required to carry out the experiment. This is because the result would vary from person to person as well as from one experiment to the other.
First, make a table for the number of trials, outcome (head and tail each) and the frequency. Pen down the result for each of the experiment carried out. You can use a tally to make it easy for compilation.
See attachment for table.
Theoretical probability of 10 trials:
Head= 5, tail = 5
Theoretical probability of 30 trials:
Head= 15, tail = 15
Theoretical probability of 100 trials:
Head= 50, tail = 50
It all amount to 50% each
So do your experiment and record the results. Afterwards compare your result which is the experimental probability
for head and tail with the theoretical theoretical.
Also compare your result with that of your classmate.
