Find the derivative of the function

According to a study by the American Pet Food Dealers association, 63 percent of U.S. households own pets. A report is being pre

Nastasia [14]

Answer

$z=\frac{0.7 -0.63}{\sqrt{\frac{0.63(1-0.63)}{300}}}=2.511$

$p_v =2*P(z>2.511)=0.012$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of households with pets is different from 0.63. This data disagree deom the Pet food association

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

X=210 represent the households with pets

$\hat p=\frac{210}{300}=0.7$ estimated proportion of households with pets

$p_o=0.63$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that true proportion is 0.63:

Null hypothesis: $p=0.63$

Alternative hypothesis: $p \neq 0.63$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.7 -0.63}{\sqrt{\frac{0.63(1-0.63)}{300}}}=2.511$

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 $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.511)=0.012$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of households with pets is different from 0.63. This data disagree deom the Pet food association

7 0

2 years ago

Which of the following inequalities have the same solution set? Select all that apply (>= means greater than or equal to and

Alex_Xolod [135]

<span>7n + 4 - 5n <= 2(n+2) Let's simplify these expression first 2n + 4 <= 2(n + 2) 2(n +4) = 2n + 4 The LHS and RHS expressions are the same but the inequality says contrary Hence 2n + 4 is not less than but equal to 2(n + 2). 7+ 6a >= -4(2-a) - 2a -4(2-a) - 2a = -8 + 4a - 2a = -8 + 2a. It should be obvious that 7 +6a is greater than the RHS expression. Suppose a= 2 then we have 7 + 6(2) = 19 while -8 + 2(2) = - 8 + 4 = -4 So it follows that 7 + 6a >= -4(2-4) -2a 4x >= 8. The expression is always true so the equal to option is out.</span>

5 0

3 years ago

A 156-inch board is cut into two pieces. One piece is three times the length of the other. Find the

cluponka [151]

Answer:

The shorter piece is 39 inches long.

Step-by-step explanation:

ratio = 3 : 1

3+1=4

156/4 = 39

just to check:

39 x 3 = 117 (the lenght of the longer piece)

117 + 39 =156

hope this helps

brainliest plx

x

7 0

2 years ago

Write the point- slope form of the equation of the line through the given point with the given slope

pashok25 [27]

Answer:

y=mx+b

y=-1x-4

y=2x+4

Step-by-step explanation:

8 0

3 years ago

How do you explain expanded notation method for 82 times 3

BabaBlast [244]

The answer in expanded form?

4 0

2 years ago

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