1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Basile [38]
2 years ago
11

A national poll reported that 58% of those with Internet access have made purchases online. To investigate whether this percenta

ge applies to its own state, a legislator commissions a study. A random sample of 400 state residents who have Internet access is taken. Of those 400 respondents, 215 said that they have made purchases online. Does this sample provide sufficient evidence to conclude that the state differs from the nation with respect to making purchases online? Suppose the significance level is 0.05.
Mathematics
1 answer:
Lesechka [4]2 years ago
7 0

Answer:

Null Hypothesis is accepted

Conclusion : proportion of people with internet access having made online purchase = 58%

Step-by-step explanation:

Let proportion of people with internet access having made online purchase = x

Null Hypothesis [H0] : x = 58% = 0.58

Alternate Hypothesis [H1] : x ≠ 58% ≠ 0.58

Observed x proportion (mean) : x' = 215 / 400 = 0.5375

z statistic = [ x' - x ]  / √ [ { x ( 1-x ) } / n ]

( 0.5375 - 0.58 ) /  √ [ 0.58 (0.42) / 400 ]

= -0.0425 / √ 0.000609

= -0.0425  / 0.02467

z = - 1.72

Since calculated value of z, 1.72 < tabulated value of z at 0.05 significance level, 1.96

So, we accept the null hypothesis & conclude that x = 58%

You might be interested in
Find the area of a right triangle with a base of 38 cm and height of 26 cm.
Marianna [84]

Answer:

494cm2

Step-by-step explanation:

Área = (base × height)/2

Área=(38×26)/2=988/2=494cm²

7 0
2 years ago
Read 2 more answers
In the Ambrose family, the ages of the three children are three consecutive integers. If
ss7ja [257]

Answer:

x+5

Step-by-step explanation:

i think...

4 0
3 years ago
Factorize completely the expression(h+2k)²+4k²-h²​
julsineya [31]

The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h²​ completely

The expression can be factorized as shown below

(h+2k)²+4k²-h²​ becomes

(h+2k)² + 2²k²-h²​

(h+2k)² + (2k)²-h²​

Using difference of two squares

The expression (2k)²-h²​ = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h²​ becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

Learn more here:brainly.com/question/12486387

5 0
3 years ago
Read 2 more answers
Find the volume of the pyramid 6cm 11cm 4cm
balandron [24]

Answer:

88 cm³

Step-by-step explanation:

V=\frac{lwh}{3}

V = (11 × 4 × 6) ÷ 3

88 cm³

3 0
2 years ago
Prove : (sec θ - tan θ )^2 = 1 - sin θ /1+sin θ
labwork [276]
(sec x - tan x)^2 \\  \\ = sec^2x - 2 sec x tan x + tan^2 x \\  \\ =(1+tan^2 x) - 2 sec x tan x +tan^2 x \\  \\ =1 - 2 sec x tan x + 2 tan^2 x \\  \\ = 1 - 2tan x(sec x - tan x) \\  \\ =1 - \frac{2 sin x}{cos x} (\frac{1-sin x}{cos x}) \\  \\ = 1 - \frac{2 sin x (1-sin x)}{cos^2 x} \\  \\ =1 - \frac{2 sin x (1-sin x)}{1-sin^2 x} \\  \\ =1 - \frac{2 sin x (1-sin x)}{(1-sin x)(1+sin x)} \\  \\ =1-\frac{2 sin x}{1+sin x}
3 0
2 years ago
Other questions:
  • I need the answer please help
    10·1 answer
  • Approximately 10.3% of american high school students drop out of school before graduation. choose 10 students entering high scho
    15·1 answer
  • A truck driver is hauling furniture for a moving job. She travels an average of 47 miles per hour. It takes a total of 12 hours
    12·2 answers
  • In triangle ABC, what is the measure of angle C
    8·1 answer
  • Becky leaves school to go home. She walks 6 blocks North and then 8
    8·1 answer
  • A company sold equipment that originally cost $290000 for $203000 cash. The accumulated departing the equipment was $87000.The c
    10·1 answer
  • The product of 10 and half of A
    9·1 answer
  • Brainlist if correct<br><br> The value of 3over2 + 3over3 = ___.
    6·2 answers
  • A juice company did a survey among 100 customers to find their juice preferences. The customers were asked about their preferenc
    10·1 answer
  • The ratio is 2 to 8. please help im begging
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!