Answer:
Test statistic z= 1.708
Step-by-step explanation:
given that a television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If this is to happen, it will have to move one of its most viewed shows to another slot.
Sample size n = 827
Sample proportion p = 

(right tailed test)
This is because they would be interested if more than half viewers are ready for the change
Test statistic = Z = p difference/std error
p difference = 0.0297
Std error =
Z =1.708
p valu e= 0.9562
Since p >0.05 we fail to reject H0
Test statistic z= 1.708
Answer: 90.82%
Step-by-step explanation:
Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .
Mean : 
Standard deviation: 
Let X be the random variable that represents the amount of soda in bottles.
Formula for z-score : 
Z-score for 16 oz: 
Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_

Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
<h3>What is a combination?</h3>
It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
2 red envelopes
2 blue envelopes
2 green envelopes
3 yellow envelopes.
Total number of envelopes = 9
The probability that all three randomly selected envelopes are yellow without replacement.
= 
= (3/9) x (2/8) x (1/7)
= (3x2x1)/(9x8x7)
= 1/84
Thus,
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
Learn more about combination here:
brainly.com/question/14355408
#SPJ1