22 = z + (-9) Switch the sides
z = 22 - (-9) Solve
z = 31 So, z = 31
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
Answer:
Step-by-step explanation:
1. use distribution factor
(4x+3)(24+5x)
4x times 24 = 96
4x times 5x = 20x
3 times 24 = 72
3 times 5x = 15x
2. combine like terms
96 + 72 = 168
15x + 20x = 35x
35x + 168 or 168 + 35x
I may be wrong please check my answer. I may have a lapse in my algebra, or I may have misunderstood the problem. But this is what I can give you to the best of my knowledge.
Answer:
On average, Tonya makes $312 more than Emily on a typical day.
Step-by-step explanation:
I was just studying that question a few hours ago