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
GrogVix [38]
2 years ago
13

National data indicates that​ 35% of households own a desktop computer. In a random sample of 570​ households, 40% owned a deskt

op computer. Does this provide enough evidence to show a difference in the proportion of households that own a​ desktop? Identify the appropriate null and alternative hypotheses.
Mathematics
1 answer:
Elan Coil [88]2 years ago
3 0

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a​ desktop.

Step-by-step explanation:

We are given that National data indicates that​ 35% of households own a desktop computer.

In a random sample of 570​ households, 40% owned a desktop computer.

<em><u>Let p = population proportion of households who own a desktop computer</u></em>

SO, Null Hypothesis, H_0 : p = 25%   {means that 35% of households own a desktop computer}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of households who own a desktop computer is different from 35%}

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

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 570​ households who owned a desktop computer = 40%

            n = sample of households = 570

So, <u><em>test statistics</em></u>  =  \frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }

                               =  2.437

<em>Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't 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 we reject our null hypothesis.</em>

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

You might be interested in
What is 0.25 ÷ 5.46 (show ur work)
kenny6666 [7]

Answer:

0.04578

Step-by-step explanation:

Hope this helps somewhat.

4 0
2 years ago
Read 2 more answers
Caleb spent 34.95 on 5 pounds of coffee. how much was the coffee per pound?
horsena [70]
It would be $6.99. All you have to do is divide the total (34.95) by pounds of coffee (5). 34.95 / 5 will give you 6.99! You can check this by doing 6.99 * 5, which would again give you 34.95. Contact me if you need any more help. :^)
4 0
3 years ago
95.97 meters is 42% of<br> yards? (1 yard = 0.914 m)
rusak2 [61]

95.97 meters is 42% of 249.89 yards.

6 0
3 years ago
Graph the solution of y-2&gt;1 on a number line
Angelina_Jolie [31]
First, you need to move 2 to the other side. You accomplish this by adding 2 to 1. You have y>3. Since your variable is smaller than 3, draw an open circle on the 3 mark and a squiggly line left of 3. 
8 0
3 years ago
The length of a rectangle exceeds the width by 2 cm . If the diagonal is 10 cm long , find the width of the rectangle .
Rainbow [258]
Width= 6 cm
Length = 8cm

4 0
2 years ago
Other questions:
  • PLease help real fast
    9·1 answer
  • 135 pizzas cost $1,405, how much does just 1 pizza cost?
    13·2 answers
  • The perimeter of a rectangle can be found using the expression 2L+2W where L represents length and w represents width. Find the
    9·1 answer
  • What is 5/12 as a unit fraction?
    7·1 answer
  • Suppose the population of a town is 15,200 and is growing 2% each year. a. Write an equation to model the population growth. b.
    6·1 answer
  • The X- Values (input Values) are called ________ of the function
    13·2 answers
  • Write an equation of the line that passes through the given point and is perpendicular to the given line. 1 (-6, -4); y = 3x + 1
    7·1 answer
  • Can someone explain to me how to solve this
    9·1 answer
  • Find the distance between the points (-1,-8) and (-3,-2). Round your answer to the nearest hundredth.
    9·1 answer
  • What must be added to each of the numerator and the denominator of the fraction 7/11 to make it equal to 3/4
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!