Consider the following data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 9.0%, while this proportion is 9.7% for Oregon residents. These data are based on simple random samples of 11,554 California and 4,693 Oregon residents. (Use a significance level of 0.05. Use Pca - Pos-) (a) Conduct a hypothesis test to determine if these data provide strong evidence that the rate of sleep deprivation is different for the two states. Check the relevant conditions. The sample is vy random and the sample represents less than vy 10% of all California and Oregon residents. Therefore whether or not one person in the sample reported insufficient rest or sleep is v independent of another. The success-failure condition is vv met since the number of successes and failures is greater than v 10. State the appropriate null and alternative hypotheses. O Ho: PCA S POR Ha: PcA > POR O Ho: PcA> POR Ha: PCA S POR O Ho: PCA - POR H: Pca POR O Ho: PcA* POR H: PcA = POR O Hạ: Pca S POR H: PCA + POR Calculate the test statistic and determine the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) p-value =
Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.
Z= and P-Value=
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
