Please help me with this one!!!

In a group of 60 students, 12 students take algebra one, 18 students take algebra 2 and 8 students take both subjects how many s

hoa [83]

60-12-18-2-8=20
=48-18-2-8
=30-2-8
=28-8
=20

So, 20 students don't take either of these subjects.

5 0

3 years ago

A TV station claims that 38% of the 6:00 - 7:00 pm viewing audience watches its evening news program. A consumer group believes

Elena L [17]

Answer:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

$p_v =P(Z$

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 people that regularly watch the TV station’s news program is significantly less than 0.38 .

Step-by-step explanation:

1) Data given and notation

n=830 represent the random sample taken

X=282 represent the people that regularly watch the TV station’s news program

$\hat p=\frac{282}{830}=0.340$ estimated proportion of people that regularly watch the TV station’s news program

$p_o=0.38$ 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 proportion is less than 0.38:

Null hypothesis: $p\geq 0.38$

Alternative hypothesis: $p < 0.38$

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

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

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 left tailed test the p value would be:

$p_v =P(Z$

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 people that regularly watch the TV station’s news program is significantly less than 0.38 .

3 0

3 years ago

Draw a line tangent to the circle at the point (0, 4). Write an equation for this tangent line. Explain your work.PLEASE HELP

kirill [66]

Answer:

y = 1/4x + 4

Step-by-step explanation:

5 0

3 years ago

Jessica is measuring two line segments. The first line segment is 30 centimeters long. The second line segment is 500 millimeter

Zolol [24]

Answer:

800 mm or 80 cm

Step-by-step explanation:

We are given that Jessica is measuring two line segments.

Length of first line segment =30 cm

Length of second line segment=300 mm

We have to find that Length of two line segments together

We know that 1 cm =10 mm

Length of firs line segment =

Length of two line segments together=500+300=800 mm=

Hence, the length of two line segments together=800 mm=80 cm

Read more on Brainly.com - brainly.com/question/544258#readmore

8 0

3 years ago

The ratio of students who wear glasses to the total number of students in the class is 2:5 if there are 14 students who wear gla

vazorg [7]

Answer:

35 students in the class.

Step-by-step explanation:

If there are 5 students in the class, then 2 of them would wear glasses and 3 of them wouldn't. (Equation 1)

Now, there are 14 students how are wearing glasses.

We just times the whole Equation 1 by 7.

If there are 5 x 7 = 35 students in the class, then 2 x 7 = 14 of them would wear glasses and 3 x 7 = 21 of them wouldn't.

So, there are 35 students.

8 0

2 years ago