PLS HELP, i am literally crying over this, Guaranteed brainliest if you get it right
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Answer:
n=170
Step-by-step explanation:
1) Notation and definitions
random sample taken (variable of interest)
estimated proportion.
true population
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=170
The recurring decimal number 9.2424... expressed in mixed number is
In the given decimal number, 2 is the digit at the tenth place and 4 is the digit at the hundredth place.
The fraction part in the simplest form is
The whole number part is 9.
Therefore, the number 9.2424... as a mixed number in the simplest form is