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Triss [41]
3 years ago
8

Cristal had $157 in her checking account. She then made a deposit of $160. Find her new account balance.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0
317$ is her new acc balance
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"Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A r
sergiy2304 [10]

Answer:

(a) Null Hypothesis, H_0 : p_1-p_2=0  or  p_1= p_2  

    Alternate Hypothesis, H_A : p_1-p_2\neq 0  or  p_1\neq p_2

(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.

Step-by-step explanation:

We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.

A different random sample of 1,100 drivers found 96.9% compliance."

<em />

<em>Let </em>p_1<em> = proportion of drivers that were in compliance initially</em>

p_2<em> = proportion of drivers that were in compliance one year later</em>

(a) <u>Null Hypothesis</u>, H_0 : p_1-p_2=0  or  p_1= p_2      {means that there is not any statistical difference in these two proportions measured initially and then one year later}

<u>Alternate Hypothesis</u>, H_A : p_1-p_2\neq 0  or  p_1\neq p_2     {means that there is a statistical difference in these two proportions measured initially and then one year later}

The test statistics that will be used here is <u>Two-sample z proportion statistics</u>;

                     T.S.  = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{ \frac{\hat p_1(1-\hat p_1)}{n_1} + \frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of drivers in compliance initially = 98.9%

\hat p_2 = sample proportion of drivers in compliance one year later = 96.9%

n_1 = sample of drivers initially = 1,250

n_2 = sample of drivers one year later = 1,100

(b) So, <u><em>the test statistics</em></u>  =  \frac{(0.989-0.969)-(0)}{\sqrt{ \frac{0.989(1-0.989)}{1,250} + \frac{0.969(1-0.969)}{1,100}} }  

                                           =  3.33

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 3.33) = 1 - P(Z \leq 3.33)

                                            = 1 - 0.99957 = <u>0.00043</u>

Since in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

<em>Since our test statistics does not lies within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis.</em></u>

Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.

7 0
2 years ago
Help me in math please
dsp73
Answer: Choice A

Proof:
Replace x with 1 and y with 2. This is because (x,y) = (1,2) so x = 1 and y = 2.

Doing both replacements and simplifying leads to...

2*x - y = 0
2*1 - 2 = 0
2 - 2 = 0
0 = 0

That confirms (x,y) = (1,2) is a point on the line.
It confirms (1,2) is a solution to the equation.
4 0
3 years ago
Alexa knock down 70 bowling pins in 10 frames. in each frame, alexa nocked down the same number of pins. how many pins did Alexa
hichkok12 [17]
The answer would be 7 because you would divide 70 by 10 to find out how many were per frame.
3 0
3 years ago
Ight let me get some help with Thai one
VikaD [51]

Answer:

76°

Step-by-step explanation:

The opposite angles of a parallelogram are equal, so if one angle is 76°, then the opposite angle will be the same.

I hope this helps!

4 0
3 years ago
Which of the following equations is equivalent to 2(a + 6) – 3(a – 5) = 18?
defon

Answer:

\fbox{Option C}

Step-by-step explanation:

Let me know if you want the full explanation. Have a great weekend! ❤

4 0
3 years ago
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