14 m 12 m 8 m 4 m 4 m. Find the area

Suppose that we are testing a coin to see if it is fair, so our hypotheses are: H0: p = 0.5 vs Ha: p ≠ 0.5. In each of (a) and (

aleksley [76]

Answer:

$H_0: p = 0.5\\H_a: p \neq 0.5$

a. We get 56 heads out of 100 tosses.

We will use one sample proportion test

x = 56

n = 100

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{56}{100}$

$\widehat{p}=0.56$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$

= $1.2$

refer the z table for p value

p value = 0.8849

a. We get 560 heads out of 1000 tosses.

We will use one sample proportion test

x = 560

n = 1000

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{560}{1000}$

$\widehat{p}=0.56$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}$

= $3.794$

refer the z table for p value

p value = .000148

p value of part B is less than Part A because part B have 10 times the number the tosses.

6 0

3 years ago

What is the answer to the equation 3(x+4.5)=36?

kozerog [31]

Answer:

$x = 7.5$

Step-by-step explanation:

$3(x + 4.5) = 36$

$3x + 13.5 = 36$

$3x = 36 - 13.5$

$3x = 22.5$

$x = \frac{22.5}{3}$

$x = 7.5$

#IfWrongPleaseReport

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#ILoveMath

8 0

3 years ago

Read 2 more answers

The sum of two numbers is 41. The larger number is one more than four times the smaller number. What are the numbers?

EleoNora [17]

Answer:

8+ 33

Step-by-step explanation:

8+33=41

8 (the smaller number) times 4 equals 32.

The number 33 is one more than 32.

Hope this helps!

4 0

3 years ago

julian want to buy a new ipod that costs $220. he goes into a store and sees that it is on sale and has a 35% discount. he will

tigry1 [53]

Answer:

The final cost for him is;

$\text{ \$154.44}$

Explanation:

Given that the ipod costs $220;

$C=\text{ \$220}$

The store gives a 35% discount, which means he will only pay 65% of the original cost;

$100\text{\%- 35\% = 65\%}$

The store price is;

$\begin{gathered} P=\text{ 65\% of \$220} \\ P=\frac{65}{100}\times\text{ \$220} \\ P=\text{ \$143} \end{gathered}$

Also he will need to pay additional 8% sales tax on the discounted price P;

$\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \$143} \\ t=\frac{8}{100}\times\text{ \$143} \\ t=\text{ \$11.44} \end{gathered}$

The final cost he need to pay is the sum of the discounted price and the sales tax;

$\begin{gathered} F=P+t \\ F=\text{ \$143 + \$11.44} \\ F=\text{ \$154.44} \end{gathered}$

Therefore, the final cost for him is;

$\text{ \$154.44}$

5 0

1 year ago

PLEASE help me. I am stuck on this question for a long time. This is a graph problem

Fofino [41]

Answer:

plot 2

Step-by-step explanation:

put number in order from least to highest:

1 ,3,4,5,8,8,9,11,11,11,14,15,15,18,19,19,19,21,22,23,

from 1 to 5 4 terms

5 to 10 3 terms

from 10 to 15 4 terms (since you can put the 15 in either 10 to 15 or 15to 20)

from 15 to 20 6 terms

from 20 to 25 3

3 0

3 years ago