An item is regularly priced at $75. It is now priced at a discount of 40% off the regular price. What is the

If 6 tomatoes are for $4, how much does 15 tomatoes cost?

Mariana [72]

$22.50 is the cost of 15 tomatoes

3 0

3 years ago

in a program designed to help patients stop smoking 232 patients were given sustained care and 84.9% of them were no longer smok

grandymaker [24]

Answer:

$z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869$

$p_v =2*P(Z>1.869)=0.0616$

If we compare the p value obtained and the significance level given $\alpha=0.05$ 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 adults were no longer smoking after one month is not significantly different from 0.8 or 80% .

Step-by-step explanation:

1) Data given and notation

n=232 represent the random sample taken

X represent the adults were no longer smoking after one month

$\hat p=0.849$ estimated proportion of adults were no longer smoking after one month

$p_o=0.80$ 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)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.8.:

Null hypothesis: $p=0.8$

Alternative hypothesis: $p \neq 0.8$

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 $p_o$ .

3) Calculate the statistic

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

$z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869$

4) 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:

$p_v =2*P(Z>1.869)=0.0616$

If we compare the p value obtained and the significance level given $\alpha=0.05$ 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 adults were no longer smoking after one month is not significantly different from 0.8 or 80% .

6 0

3 years ago

In triangle JKL, the length of side JK is 12 feet, and the length of side KL is 15 feet. Which of the following could be the len

Andrei [34K]

Answer:

D

Step-by-step explanation:

every 2 sides of a triangle has to be bigger than the 3rd side

8 0

2 years ago

The graph below shows the solution set of which inequality ?? HELP FASTTT

Maru [420]

<u>Answer:</u>

The graph shows the solution set of the equality √x < -1

<em>(No Solutions)</em>

4 0

2 years ago

Pls help! I don’t understand bc I’m not smart-

Ipatiy [6.2K]

Answer:

78.5 m²

Step-by-step explanation:

The formula to find the area of a quarter of a circle: $\frac{1}{4} * \pi * r^{2}$ , where $r$ is the radius (diameter ÷ 2) and the $\pi$ is alterable.

1) Substitute the given values into the formula.

= $\frac{1}{4} * 3.14 * 10^{2}$

2) Solve it.

= $\frac{1}{4} * 314$

= 78.5

3) Round it off to the nearest tenth. In this case, it has already been rounded off.

8 0

1 year ago