What is the percent equation for 46% of 127?

a) Null hypothesis:  

Alternative hypothesis:  

b)  

c) So the p value obtained was a very low value and using the significance level given we have so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

estimated proportion of American families owning stocks or stock funds

is the value that we want to test

represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

represent the p value (variable of interest)  

Concepts and formulas to use  

Part a

We need to conduct a hypothesis in order to test the claim that proportion is less than 0.53 or 53%.:  

Null hypothesis:  

Alternative hypothesis:  

Part b

When we conduct a proportion test we need to use the z statistic, 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:  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided . The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

Part c  

So the p value obtained was a very low value and using the significance level given we have so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

46% of 127 is 58.42

Step-by-step explanation:

46/100 = x/127

Cross multiply

46 × 127 = 100 × x

5,842 = 100x

Divide both sides by 100

58.42 = x

For any exponential function in which the base is less than 1, it will be an exponential decay situation.  In this problem, the base is 0.97.  The amount that the base is less than 1  ( i.e. 1 - base) represents, in decimal form, the percent of decrease, which in this case is 0.03 or 3%.  

Step-by-step explanation:

The formula for exponential decay is y=a(1-r)x.  

r is the decay rate.

63.7% yield

Explanation:

%Yield = Actual Yield/Theoretical Yield x 100%

= 461g/724g x 100% = 63.7% (3 sig.figs.)

63.7% yield

Explanation:

%Yield = Actual Yield/Theoretical Yield x 100%

= 461g/724g x 100% = 63.7% (3 sig.figs.)

63.7% yield

Explanation:

%Yield = Actual Yield/Theoretical Yield x 100%

= 461g/724g x 100% = 63.7% (3 sig.figs.)

The empirical formula is: C₂H₃O

Explanation:

The empirical formula, also known as the “minimum formula”, is the simplest expression to represent a chemical compound and indicates the elements that are present and the minimum integer ratio between its atoms.

The percentage composition is the percentage by mass of each of the elements present in a compound.

Having 100 g of the compound as a base, it is possible to express the percentages in grams. That is, assuming you have 100 g of the compound, you have 53.46 g of  C , 6.98 g of  H , and 39.56 g of  O.

Taking into account the molecular mass of each substance, the number of relative atoms of each chemical element is calculated:

C:

H:

O:

Now you divide each value obtained by the least of them:

C:

H:

O:

Decimals approach the nearest integer, then:

C: 2

H: 3

O: 1

Therefore the empirical formula is: C₂H₃O