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
Sunny_sXe [5.5K]
3 years ago
8

A housing loan corporation states that it sanctions 80% of all housing loans within 7 working days once the verification process

is completed. A customer group believes that all housing loans applied to this corporation that are settled within 7 working days is less than 80% of all housing loans. In a sample of 120 housing loan applications, the group found that 92 were settled within 7 working days.
State the null and the alternative hypotheses.
H_0: p = 0.8 vs. H_a: p notequalto 0.8
H_0: p = 0.8 vs. H_a: p > 0.8
H_0: p = 0.8 vs. H_a: p lessthanorequalto 0.8
H_0: p = 0.8 vs. H_a: p greaterthanorequalto 0.8
H_0: p = 0.8 vs. H_a: p < 0.8
Find the point estimate of the population proportion.
0.80
0.23
0.77
0.50
0.20
Calculate the value of the test statistic.
-0.933
0.913
0.933
-0.913
-0.863
Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Answer:

a)

<em>Answer : d)</em>

Null hypothesis:-H₀ : p =0.8

Alternative Hypothesis :H₁: p < 0.8

<em>b)</em>

<em> Answer : c)0.77</em>

point estimate of the population proportion= 0.77

<em>c)</em>

<em> Answer : e)</em> -0.863

Step-by-step explanation:

<u><em>step(i)</em></u>:-

<em>Given Population proportion 'p' =80% = 0.80</em>

Given   a sample of 120 housing loan applications, the group found that 92 were settled within 7 working days.

<em>Sample proportion or point estimation</em>

                      p^{-} = \frac{x}{n} = \frac{92}{120} =0.766

<em>Null hypothesis:-H₀ : p =0.8</em>

<em>Alternative Hypothesis :H₁: p < 0.8</em>

<em>Step(ii):-</em>

<em>Test statistic </em>

<em>  </em>Z = \frac{p^{-} -p}{\sqrt{\frac{p q}{n} } }<em></em>

<em>population proportion p =0.8</em>

<em>                                  q = 1-p = 1-0.8 =0.2</em>

<em></em>

<em>       </em>Z = \frac{0.77 -0.80}{\sqrt{\frac{0.80 x 0.20}{120} } }<em></em>

<em>      Z = -0.863</em>

<em>|Z| = | -0.863| = 0.863 < 1.96 at 0.05 level of significance </em>

<em>Null hypothesis is accepted </em>

<em>. A customer group believes that all housing loans applied to this corporation that are settled within 7 working days is equal to the 80% of all housing loans.</em>

You might be interested in
The experimental probability of rain in a certain
devlian [24]

Answer:

18 days

Step-by-step explanation:

Find how many days it can be expected to rain by finding 60 percent of 30

30(0.6)

= 18

So, one can expect it to rain for a total of 18 days out of the 30 days

5 0
3 years ago
Add the following lengths: 12'11" + 11'3" ‾‾‾‾‾‾ ' "
solong [7]

Answer:

12'11" + 11'3" = 24'2".

Hope this helps!

Davinia.

4 0
3 years ago
(6•11)2 •2-4(-2+14)2-12 simplest terms
Ksju [112]

Answer:

\frac{13+\left(-3\right)^2+4\left(-3\right)+1-\left[-10-\left(-6\right)\right]}{\left[4+5\right]\div \left[4^2\:−\:3^2\left(4−3\right)−8\right]+12}

Step-by-step explanation:

\frac{13+\left(-3\right)^2+4\left(-3\right)+1-\left(-10-\left(-6\right)\right)}{\frac{4+5}{\left(4^2-3^2\left(4-3\right)-8\right)+12}}

8 0
3 years ago
he mean age of bus drivers in Chicago is greater than 54.4 years. If a hypothesis test is performed, how should you interpret a
Natalka [10]

Answer:

There is not sufficient evidence to support the claim μ > 54.4.

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is \mu>54.4 and the system of hypothesi on this case are:

Null Hypothesis: \mu \leq 54.4

Alternative hypothesis:\mu >54.4

On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided.  So the correct conclusion would be:

There is not sufficient evidence to support the claim μ > 54.4.

8 0
3 years ago
What is the solution for the system of equations? = 2 – 3
saw5 [17]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with _______ exactly one
    15·1 answer
  • 2x+4y=16 what is the slope intercept form
    13·1 answer
  • Each of 11 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating n
    14·1 answer
  • What connection may be drawn between the graphs of sin and cos and the signs of both functions relating to the 4 quadrants?
    6·1 answer
  • lipka reads a book of 1/34 hrs everyday she reads the entire book in 6 days how many hours in all were required by her to read t
    13·1 answer
  • What is the slope of line <br> x -3,-2,-1,0<br><br> y 6,4,20? <br> PLEASE HELP ASAP
    7·1 answer
  • What are the geometric means of 5 and 15
    13·1 answer
  • What is the answer?❤️
    15·1 answer
  • A chemist is using 338 milliliters of a solution of acid and water. If 16.3% of the solution is acid, how many milliliters of ac
    15·1 answer
  • The unit rate of change of yyy with respect to xxx is the amount yyy changes for a change of one unit in xxx.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!