Answer:
The 95% confidence interval would be given (0.622;0.644).
We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644
Step-by-step explanation:
Data given and notation
n=7000 represent the random sample taken
X=4431 represent the people that said that they change their nail polish once a week
estimated proportion of people that said that they change their nail polish once a week
represent the significance level
Confidence =0.95 or 95%
p= population proportion of people that said that they change their nail polish once a week
Solution to the problem
The confidence interval would be given by this formula
For the 95% confidence interval the value of 
and 
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.622;0.644).
We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644
Answer:
A and D
Step-by-step explanation:
x is the price of the truck
moster truck tax = 13%
To find the total, you need to do:
113%X
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Hope this helps!!! :)</u></em></h3>
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
- Given That, As part of a quality control process for computer chips, an engineer at a factory randomly samples 212 chips during a week of production to test the current rate of chips with severe defects. She finds that 27 of the chips are defective.
(a) The sample is from all computer chips manufactured at the factory during the week of production. We might be tempted to generalize the population to represent all weeks, but we should exercise caution here since the rate of defects may change over time.
(b) The fraction of computer chips manufactured at the factory during the week of production that had defects.
(c) Estimate the parameter using the data: phat = 27/212 = 0.127.
(d) Standard error (or SE).
(e) Compute the SE using phat = 0.127 in place of p:
SE ≈ √(phat(1−phat)/n) = 0.023.
(f) The standard error is the standard deviation of phat. A value of 0.10 would be about one standard error away from the observed value, which would not represent a very uncommon deviation. (Usually beyond about 2 standard errors is a good rule of thumb.) The engineer should not be surprised.
(g) Recomputed standard error using p = 0.1: SE = 0.021. This value isn't very different, which is typical when the standard error is computed using relatively similar proportions (and even sometimes when those proportions are quite different!).
Answer:
from questions it is given that X is lies between the -9 and -5. In this question X lies only between -9 to -5 but -9 and -5 are excluded because there is no equal sign given in the question. so value of X are (-8,-7,-6). and plot in the graph .and these values are the component of X so they are also a domain.
Answer: There are 13 gamblers who played exactly two games.
Step-by-step explanation:
Since we have given that
Number of gamblers played black jack, roulette and poker = 5
Number of gamblers played roulette and poker = 8
Number of gamblers played black jack and roulette = 11
Number of gamblers played only poker = 12
Number of gamblers played poker = 24
Number of gamblers who played only roulette and poker is given by
Number of gamblers who played only black jack and roulette is given by
Number of gamblers who played only poker and black jack is given by
So, the number of gamblers who played exactly two games is given by
Hence, there are 13 gamblers who played exactly two games.
