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
joja [24]
3 years ago
14

A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If

this is to happen, it will have to move one of its most viewed shows to another slot. The network conducts a survey asking its viewers which show they would rather watch. The network receives 827 responses, of which 438 indicate that they would like to see the new show in the lineup. The test statistic for this hypothesis would be:
a. 2.05
b. 1.71
c. 2.25
d. 1.01
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

b. 1.71

z=\frac{0.5296 -0.5}{\sqrt{\frac{0.5(1-0.5)}{827}}}=1.71  

Step-by-step explanation:

1) Data given and notation

n=827 represent the random sample taken

X=438 represent the  people that indicate that they would like to see the new show in the lineup

\hat p=\frac{438}{827}=0.5296 estimated proportion of people that indicate that they would like to see the new show in the lineup

p_o=0.5 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.5296 -0.5}{\sqrt{\frac{0.5(1-0.5)}{827}}}=1.71  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>1.71)=0.044  

If we compare the p value obtained and the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the true proportion is higher than 0.5.  

You might be interested in
I need help pleas thank you
sergejj [24]
X=275+55= 330 biked

y=275-55= 220 bus
7 0
3 years ago
-4(x-5 ) - 25 = -5 x =?*
patriot [66]

Answer:

x=0

Step-by-step explanation:

First distribute -4 to x and -5 and get -4x+20-25=-5

Then you combine like terms and get -4x-5=-5

Then add 5 to both sides and get -4x=0

Then divide both sides by -4 and get x=0

7 0
3 years ago
If y varies directly with x, find the missing value below.<br><br> (2, -34) and (x, 85)
DedPeter [7]

Answer:

X= -5

Step-by-step explanation:

y varies directly with x,

so y=kx

-34=k×2

k= -17

85= -17× X

X= -5

8 0
2 years ago
7,10) and (7,20). Slope or no slope
hoa [83]

Answer: No slope

Step-by-step explanation: The line is going straight down.

3 0
3 years ago
Read 2 more answers
Worth 12 Points, i spent 24
rewona [7]

Answer:

  \displaystyle m^{\frac{35}{12}}n^{-\frac{28}{15}}=\frac{m^{\frac{35}{12}}}{n^{\frac{28}{15}}}

Step-by-step explanation:

The relevant rule of exponents is ...

  (a^b·c^d)^e = a^(be)·c^(de)

Then ...

  (m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)

  = m^(35/12)·n^(-28/15)

__

Since you want positive rational exponents, you can write this as ...

  = m^(35/12)/n^(28/15)

6 0
3 years ago
Other questions:
  • Please help me! I need help.
    11·1 answer
  • Which of these pairs of events are independent?
    8·1 answer
  • How many tons are in 1,400 pounds?
    9·2 answers
  • Collins Middle School has 224 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the
    6·1 answer
  • 5^7 + 5^6 = _* 6<br><br> AWARDING BRAINLIEST
    10·2 answers
  • The mean height of a group of students is 1.65 meter. Explain what this means.
    9·1 answer
  • Solve each Inequality<br> -44&lt;-2+3r
    7·1 answer
  • Consider the initial value problem 2ty′=4y, y(1)=−2. 2ty′=4y, y(1)=−2. find the value of the constant cc and the exponent rr so
    5·1 answer
  • PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
    13·1 answer
  • MARKING AS BRAINLIEST!! (Geometry)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!