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vivado [14]
3 years ago
12

ⓌⒽⓎ ⓜⓊⓈⓉ ⓉⒽⒺ ⓇⒺⓜⒶⒾⓃⒹⒺⓇ ⒷⒺ ⓁⒺⓈⓈ ⓉⒽⒶⓃ ⓉⒽⒺ ⒹⒾⓋⒾⓈⓄⓇ

Mathematics
1 answer:
Lynna [10]3 years ago
5 0

Answer:

The remainder is the number that is left over after dividing. It is always less than the divisor. The remainder is an essential part of the answer and is shown in the quotient preceded by the letter R.

Step-by-step explanation:

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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
3 years ago
A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The h
Law Incorporation [45]
H=-16t^2+56t+1, the airplane is shot up from a platform 1 foot above the ground, so 1= - 16t^2+56t+1, we solve this equation
(- 16t+56)t=0, (- 16t+56)=0 or t=o, - 16t+56=0, implies t =3.5s
so the answer is C)3.5 seconds 
4 0
3 years ago
Read 2 more answers
I suck at math so help me please:)
Evgen [1.6K]
Since they’re vertical we know that they’re congruent. We write the equation as 160=10x+50. Subtract 50 to both sides then we get 110=10x so now we divide 10 to both sides and get 11=x.
So your answer is A
Hope I helped :)
7 0
2 years ago
HEY GUYS HELP, ILL MARK YOU BRAINLY !
Serjik [45]
Y=40x+100 and the second question is y=1.69x
5 0
2 years ago
2. Find the surface area of the solid
PolarNik [594]

Answer:

C. SA = 148.8 ft

Step-by-step explanation:

3.1×8×6= 148.8

4 0
3 years ago
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