Quadrilateral QRST is a square. If TR = 50 and PT = 8x + 2, then find the value

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

If 8600 firefighters work for a city and 31 out of 40 firefighters who were asked if they enjoy their jobs

sergeinik [125]

I am slightly confused. What exactly is the question?

4 0

3 years ago

A cable on a crane measures 89 yards 2 feet. How much total cable would be on 14 identical cranes? Convert the answer to larger

babymother [125]

we know that

1 yard=3 feet

Multiply (89 yards 2 feet) by 14

(89 yards 2 feet)*14=89*14 yards 2*14 feet-------> 1,246 yards 28 feet

convert 28 feet to yards

28 ft=(28/3) yards=9.33 yards

9.33 yards=9 yards+0.33 yards

0.33 yards=1 foot

so

9.33 yards=9 yards+1 foot

substitute

1,246 yards 28 feet=1,246 yards +9 yards+1 foot----->1,255 yards + 1 foot

therefore

the answer is the option

C. 1,255 yards 1 foot

8 0

4 years ago

Read 2 more answers

I don't understand how to do this, could I have some help?

kondaur [170]

Step-by-step explanation:

step 1. slope = rise/run

step 2. the rise is the height between any 2 points

step 3. the run is the distance left or right between the same 2 points

step 4. if the line goes up "left to right" the slope is positive, down it is negative

step 5. slope = + 6/2 = 3.

5 0

3 years ago

Sin 7A = cos 3A, then m∠A is what?

lbvjy [14]

Answer:

m∠A = 9°

Step-by-step explanation:

$\sin 7A = \cos 3A \\ \\ \sin 7A = \sin(90 \degree - 3A) \\ \\ 7A = 90 \degree - 3A\\ \\ 7A + 3A= 90 \degree \\ \\ 10A= 90 \degree \\ \\ A = \frac{90 \degree}{10} \\ \\ m \angle A =9 \degree$

8 0

3 years ago