Answer:
Step-by-step explanation:
Data given and notation
n=1500 represent the random sample taken
estimated proportion of of chips fail in the first 100 hours
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the actual percentage that fail is different from the stated percentage. Find the value of the test statistic.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Let's calculate Charlie swimming distance. Assume Charlie swimming distance is D.
D^2 = 400^2 + 100^2 => D = 412 meters
Assume d is Carter's distance.
d^2 = 400^2 + 150^2 => d = 427 meters
Carter swims more than Charlie by:
d - D = 427 - 412 = 15 meters
Answer:
Gina has 5 more feet of silver ribbon than gold
Step-by-step explanation:
7 - 2 =5