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3 years ago

Please help me with problems one through four and show work. (Preferably on paper)

Mathematics

1 answer:

kow [346]3 years ago

8 0

Step-by-step explanation:

I hope you can understand my steps and hope you all the best in matematic. There are various type of calculation, i try my best to do in easy way

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A survey of 700 adults from a certain region asked, "What do you buy from your mobile device?" The results indicated that 59%

Kryger [21]

Answer:

a) the test statistic z = 1.891

the null hypothesis accepted at 95% level of significance

b) the critical values of 95% level of significance is zα =1.96

c) 95% of confidence intervals are (0.523 ,0.596)

Step-by-step explanation:

A survey of 700 adults from a certain region

Given sample sizes $n_{1} = 400 and n_{2} = 300$

Proportion of mean $p_{1} = \frac{236}{400} = 0.59 and p_{2} = \frac{156}{300} = 0.52$

Null hypothesis H0 : assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

Alternative hypothesis H1:- p1 ≠ p2

a) The test statistic is

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

on calculation we get p = 0.56

now q =1-p = 1-0.56=0.44

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }\\ =\frac{0.56-0.52}{\sqrt{0.56X0.44}(\frac{1}{400}+\frac{1}{300} }$

after calculation we get z = 1.891

b) The critical value at 95% confidence interval zα = 1.96 (from z-table)

The calculated z- value < the tabulated value

therefore the null hypothesis accepted

conclusion:-

assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

c) 95% confidence intervals

The confidence intervals are P± 1.96(√PQ/n)

we know that = $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

after calculation we get P = 0.56 and Q =1-P =0.44

Confidence intervals are ( P- 1.96(√PQ/n), P+ 1.96(√PQ/n))

now substitute values , we get

( 0.56- 1.96(√0.56X0.44/700), 0.56+ 1.96(0.56X0.44/700))

on simplification we get (0.523 ,0.596)

Therefore the population proportion (0.56) lies in between the 95% of confidence intervals (0.523 ,0.596)

3 0

3 years ago

Solve the equation 3(x+2) = 2(2 - x)

RideAnS [48]

Answer:

x=-2/5

Step-by-step explanation:

6 0

3 years ago

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Marco's polo team has a budget for new uniforms of $250. If there are 12 members of the team, what can Marco spend on uniforms.

Anit [1.1K]

Your answer is going to be A

7 0

2 years ago

A. The slope of the curve y=x^3- 1 at the point P(1,0) is .

Ierofanga [76]

Answer:

Step-by-step explanation:

The measure of the slope is $\frac{dy}{dx}$ at x = a

Differentiate using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = x³ - 1, then

$\frac{dy}{dx}$ = 3x²

The slope at (1, 0) is

$\frac{dy}{dx}$ = 3(1)² = 3

5 0

3 years ago

PLEASE HELP Find the product. (n³)² • (n⁵)⁴

Papessa [141]

Answer:

$n^{26}$

Step-by-step explanation:

Raising something to a power to a power simply simply multiplies the two exponents

(n^3)^2 = n^6

(n^5)^4 = n^20

Multiplying two numbers with the same base (n) will add the exponents

n^6 x n^20 = n^26

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3 years ago