Explain how the Quotient of Powers property was used to simplify this expression.
1 answer:
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The shape above is a trapezium, so we are going to use the formula for the area of a trapezium which is,
Plugging in our values,
So the area will be
Answer:
Now we can calculate the p value with the following probability taking in count the alternative hypothesis:
For this case since the p value is large enough we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that we have significant differences between the two proportions analyzed.
Step-by-step explanation:
Information provided
represent the number of New Yorkers familiar with the brand
represent the number of Californians familiar with the brand
sample of New Yorkers
sample of Californians
represent the proportion New Yorkers familiar with the brand
represent the proportion of Californians familiar with the brand
represent the pooled estimate of p
z would represent the statistic
represent the value
System of hypothesis
We want to verify if the two proportions of interest for this case are equal, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Where
Repalcing the info given we got:
Now we can calculate the p value with the following probability taking in count the alternative hypothesis:
For this case since the p value is large enough we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that we have significant differences between the two proportions analyzed.