What is something times 4 equal 40

A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawnequipment manufacturer, located

GenaCL600 [577]

Answer:

$z=\frac{0.684 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.589$

$p_v =P(z>1.589)=0.056$

If we compare the p value obtained with the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of homes in Omaha with one or more lawn mowers is not ignificantly higher than 0.65

Step-by-step explanation:

Data given and notation

n=497 represent the random sample taken

X=340 represent the homes in Omaha with one or more lawn mowers

$\hat p=\frac{340}{497}=0.684$ estimated proportion of homes in Omaha with one or more lawn mowers

$p_o=0.65$ is the value that we want to test

$\alpha$ represent the significance level

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 true proportion of homes in Omaha with one or more lawn mowers is higher than 0.65.:

Null hypothesis: $p\leq 0.65$

Alternative hypothesis: $p > 0.65$

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:

$z=\frac{0.684 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.589$

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 next step would be calculate the p value for this test.

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

$p_v =P(z>1.589)=0.056$

If we compare the p value obtained with the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of homes in Omaha with one or more lawn mowers is not ignificantly higher than 0.65

7 0

3 years ago

What is 375 as the product of prime factors

crimeas [40]

Answer: 375 is a composite number. Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3) The exponents in the prime factorization is 1

6 0

3 years ago

Mary is using a one-sample t-test on the following group:Subject #15: 7.5 hoursSubject #27: 6 hoursSubject #48: 7 hoursSubject #

elena-14-01-66 [18.8K]

Based on the information given, the correct options will be:

a.) Mary would use the sample standard deviation to calculate a t-statistic.

c.) The value for the degrees of freedom for Mary's sample population is six.

One-sample t-test simply means a statistical hypothesis test that's used for the determination of whether an unknown population mean will be different from the specific value.

In this case, the value of the degree of freedom for the sample will be:

= (n - 1) = 7 - 1 = 6.

Also, it should be noted that Mary would use the sample standard deviation to calculate a t-statistic.

Learn more about statistics on:

brainly.com/question/15525560

6 0

2 years ago

On a cold night in Ohio, the temperature was –7 degrees Fahrenheit. By morning the next day, the temperature increased 15 degree

daser333 [38]

Answer:

37 degrees Fahrenheit

Step-by-step explanation:

15 - -7 = 22

22 + -7 = 15

15 + 22 = 37

4 0

2 years ago

Read 2 more answers

Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace

NeX [460]

The right answer is option 2.

Step-by-step explanation:

Let,

Slice of Cheese Pizza = x

Slice of Mushroom Pizza = y

According to given statement;

3x + 4y = 12.50 Eqn 1

3x + 2y = 8.50 Eqn 2

Subtract Eqn 2 from Eqn 1;

$(3x+4y)-(3x+2y)=12.50-8.50\\3x+4y-3x-2y=4.00\\2y=4.00\\y=\frac{4.00}{2} \\y=2.00$

As y is supposed as slice of mushroom, the price of one slice of mushroom pizza is $2.00

The right answer is option 2.

Keywords: Linear Equations, Subtraction.

Learn more about linear equations at:

#LearnwithBrainly

5 0

4 years ago