A car costs $9,000. If Mr.Smith has saved 20% of this amount, how much did he save?

A group of five friends has two tickets to the ball game. how many different combinations of these five friends can use the tick

irakobra [83]

10 different combinations

7 0

4 years ago

Tim claims that a coin is coming up tails less than half of the time. In 110 tosses, the coin comes up tails 47 times. Using P-v

lilavasa [31]

Answer:

$z=\frac{0.427 -0.5}{\sqrt{\frac{0.5(1-0.5)}{110}}}=-1.531$

$p_v =P(z$

If we compare the p value obtained and using the significance level given $\alpha=0.1$ we have that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 10% of significance the proportion of tails is significantly less than 0.5.

Step-by-step explanation:

1) Data given and notation

n=110 represent the random sample taken

X=47 represent the number of tails obtained

$\hat p=\frac{47}{110}=0.427$ estimated proportion of tails

$p_o=0.5$ is the value that we want to test

$\alpha=0.1$ represent the significance level

Confidence=90% or 0.90

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 proportion of tails is lower than 0.5:

Null hypothesis: $p\geq 0.5$

Alternative hypothesis: $p < 0.5$

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:

$z=\frac{0.427 -0.5}{\sqrt{\frac{0.5(1-0.5)}{110}}}=-1.531$

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 $\alpha=0.1$ . The next step would be calculate the p value for this test.

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

$p_v =P(z$

If we compare the p value obtained and using the significance level given $\alpha=0.1$ we have that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 10% of significance the proportion of tails is significantly less than 0.5.

6 0

3 years ago

Which statement is true about the letter H?

emmasim [6.3K]

There are no true statements on the list you included.

Some statements that could have been true if you had
posted a list where they appeared:

-- The letter 'H' is the eighth letter in the English alphabet.

-- The uppercase instance of the letter comprises one
horizontal line segment and two vertical ones.

-- In most popular fonts, it also includes four right angles.

4 0

4 years ago

at the county fair , 12% of the pepole who attended received free water bottels . if 1,500 people receive dfree water bottles ,

sweet-ann [11.9K]

12500 people went to fair

<h3><u>Solution:</u></h3>

Given that at the county fair , 12% of the people who attended received free water bottles

1,500 people received free water bottles

To find: number of peoples went to fair

Let "a" be the number of peoples went to fair

From given information,

12% of the people who attended received free water bottles and 1,500 people received free water bottles

Which means 12% of total people is equal to 1500

12% of total people = 1500

12 % of "a" = 1500

$\frac{12}{100} \times a = 1500\\\\a = 1500 \times \frac{100}{12}\\\\a = \frac{150000}{12} = 12500$

Thus 12500 people went to fair

3 0

3 years ago

Need help with number 3

MAVERICK [17]

Vertical angles are always equal. The vertical angles are the ones opposite each other. Therefore x would equal 40.

5 0

3 years ago