a fraction is a representation of a proportion, like say you have a pizza and cut it in 6 pieces, each piece is 1/6 of the pizza, .
the total number of available slices in the pizza is 6, you cut it in 6 slices, and a single unit of it or just 1, is 1/6 or one sixth of the pizza.
in short, a rational number is one you can write as a fraction, and an irrational number is one that can't be written as a fraction, a good example of those are π , or e euler's constant or √2.
Answer:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Step-by-step explanation:
Data given and notation
n=75 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion is higher than 0.5:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5