A coffee shop sells bags of coffee for a regular price of $5 per bag. Ravi bought some bags and used a coupon for $20 off his en
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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
In order to make a table, we sample some x values (whichever we want), and we compute the expression for those value. Each x value will yield a unique y value.
If you need this table to graph the function, you'll only need two points, since this is a line, and having two points you just need to connect them.
Here are some samples, feel free to make more if you need to:
So, we have the following table
Answer:
E: L is perpendicular to a line with slope .
Lines are perpendicular if the negative reciprocal of the slope is equal. For example, the reciprocal of is
(remember, to get the reciprocal, simply switch the numerator and the denominator).
So, the negative reciprocal of is
. This represents the slope of a line that is perpendicular.