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jekas [21]
3 years ago
14

Jay won 14 out of the last 20 video games he played. Find the probability of Jay winning the next video game he plays.

Mathematics
1 answer:
bija089 [108]3 years ago
5 0

Answer:

0.7 or 70 percent

Step-by-step explanation:

You might be interested in
In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders o
melomori [17]

Answer:

A. We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B. Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

C. z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D. z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

E. Fail to the reject the null hypothesis

F. So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have 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 true proportion of inaccurate orders is not significantly different from 0.1.  

Step-by-step explanation:

Data given and notation

n=362 represent the random sample taken

X=33 represent the number of orders not accurate

\hat p=\frac{33}{363}=0.0912 estimated proportion of orders not accurate

p_o=0.10 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)  

A: Write the claim as a mathematical statement involving the population proportion p

We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B: State the null (H0) and alternative (H1) hypotheses

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

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.

C: Find the test statistic

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

z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D: Find the critical value(s)

Since is a bilateral test we have two critical values. We need to look on the normal standard distribution a quantile that accumulates 0.025 of the area on each tail. And for this case we have:

z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

P value

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  

E: Would you Reject or Fail to Reject the null (H0) hypothesis.

Fail to the reject the null hypothesis

F: Write the conclusion of the test.

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have 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 true proportion of inaccurate orders is not significantly different from 0.1.  

6 0
3 years ago
Simplify 8 2(10 – r). a. 7r – 18 b. –2r – 18 c. –2r – 9 d. 28 – 2r
fiasKO [112]
8 + 2(10 - r) = 8 + 20 - 2r = 28 - 2r
8 0
3 years ago
Does anyone know what the answer?
11111nata11111 [884]

Answer:

x = 7

Step-by-step explanation:

Hi,

7x - 7 = 4x + 14

3x - 7 = 14

3x = 21

x = 7

I hope this helps :)

5 0
3 years ago
Read 2 more answers
Find the perimeter of the triangle defined by the coordinates (7, 1), (-6, 1), and (10, 6). (Round to nearest tenth)
matrenka [14]

Answer:

35.6\ units

Step-by-step explanation:

we know that

The perimeter of triangle is equal to the sum of the length of the three sides

Let

A(7, 1), B(-6, 1), C(10, 6)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Find the distance AB

A(7, 1), B(-6, 1)

substitute in the formula

d=\sqrt{(1-1)^{2}+(-6-7)^{2}}

d=\sqrt{(0)^{2}+(-13)^{2}}

dAB=13\ units

Find the distance BC

B(-6, 1), C(10, 6)

substitute in the formula

d=\sqrt{(6-1)^{2}+(10+6)^{2}}

d=\sqrt{(5)^{2}+(16)^{2}}

dBC=16.8\ units

Find the distance AC

A(7, 1), C(10, 6)

substitute in the formula

d=\sqrt{(6-1)^{2}+(10-7)^{2}}

d=\sqrt{(5)^{2}+(3)^{2}}

dAC=5.8\ units

Find the perimeter

P=dAB+dBC+dAC

P=13+16.8+5.8=35.6\ units


4 0
3 years ago
lila compro cuatro pares de pantalones azules q $32 cada uno. cuánto dinero le pago lila al empleado?​
trasher [3.6K]

Answer:

128

Step-by-step explanation:

32 x 4 = 128

o

32 + 32 + 32 + 32 = 128

8 0
2 years ago
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