Answer: c. –1 and .1587
Step-by-step explanation:
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since Alternative hypothesis is left-tailed ,so the test must be a left tailed test .
Z -Test statistic for proportion = 
, where p= population proportion
= sample proportions
n= Sample size.
Let x be the number of successes.
For n= 40 and x= 11
Then , 



By using z-table ,
P-value for left-tailed test = P(z<-1)= 1-P(z<1) [∵ P(Z<-z)= 1-P(Z<z) ]
= 1-0.8413
=0.1587
Hence, the -score and P-value are <u>–1 and 0.1587</u> .
So the correct option is c. –1 and .1587
The correct answer would be a length of 12 meters long
William needs 102.6 fencing in all because 76.9 plus 25.7 equals 102.6, hope this helps!
Answer:
.
Step-by-step explanation:
It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.
Jelly-filled donuts = 6
Maple donuts = 53
Glazed donuts = 11
Powdered sugar donuts = 5
Now,
Total number of donuts = 6 + 53 + 11 + 5 = 75
We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.
Therefore,
.