Answer:
Step-by-step explanation:
-Given the boundaries as 0.412 and 0.878
- is the point estimate for the population proportion and is calculated as follows:
#The margin of error, ME can be calculated for the confidence intervals using the formula:
#The number of individuals in the sample is the product of the point estimate and population size:
Hence, there are 645 individuals in the sample.
Part A
Let x represent the number of coworkers who prefer the talk news radio.
% prefer the talk news radio,
% will be the percentage that corresponds to coworkers who do not prefer the talk news radio.
Part B
We apply ratio to find x.
Hence number that corresponds to 65% will be greater than 28.
If more, less will divide.
This implies that,
Hence 52 of her coworkers prefer the local news talk station.
The derivative of 1/logx is With the chain rule.
1log(x)=log(x)−1 is ,= -1xlog(x)2 .
The by-product of logₐ x (log x with base a) is 1/(x ln a). Here, the thrilling issue is that we have "ln" withinside the by-product of "log x". Note that "ln" is referred to as the logarithm (or) it's miles a logarithm with base "e".
The by-product of 1/log x is -1/x(log x)^2. Note that 1/logx is the reciprocal of log.
Read more about derivatives;
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