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1 answer:
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Answer:
The greater the sample size the better is the estimation. A large sample leads to a more accurate result.
Step-by-step explanation:
Consider the table representing the number of heads and tails for all the number of tosses:
Number of tosses n (HEADS) n (TAILS) Ratio
10 3 7 3 : 7
30 14 16 7 : 8
100 60 40 3 : 2
Compute probability of heads for the tosses as follows:
- n = 10 tosses
The probability of heads in case of 10 tosses of a coin is -0.20 away from 50/50.
- n = 30 tosses
The probability of heads in case of 30 tosses of a coin is -0.033 away from 50/50.
- n = 100 tosses
The probability of heads in case of 100 tosses of a coin is 0.10 away from 50/50.
As it can be seen from the above explanation, that as the sample size is increasing the distance between the expected and observed proportion is decreasing.
This happens because, the greater the sample size the better is the estimation. A large sample leads to a more accurate result.
Answer:
The value of the test statistic is
Step-by-step explanation:
The formula for the test statistic is:
In which X is the statistic, is the mean,
is the standard deviation and n is the number of observations.
In this problem, we have that:
So
The value of the test statistic is