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Answer:
Now we can calculate the p value based on the alternative hypothesis with this probability:
The p value is very low compared to the significance level of
then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24
Step-by-step explanation:
Information given
n=200 represent the random sample taken
X=75 represent the number of people Liberal
estimated proportion of people liberal
is the value that we want to test
z would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the true proportion of adults liberal is higher than 0.24:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value based on the alternative hypothesis with this probability:
The p value is very low compared to the significance level of
then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24
There is a difference of 123 square inches between the pizza box and the pizza.
18x18=324
pi8^2=201.0619
324-201=123
66 is the anwer I think I'm not for sure I hope this helps and you get it right
Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by

where n is the number of elements in the set.
Therefore, subsets of the given set = 
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set = 
= 
= 32 - 1
= 31