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wariber [46]
4 years ago
11

A research company claims that no more than 55% of Americans regularly watch FOX News. You decide to test this claim and ask a r

andom sample of 425 Americans if they watch this network regularly. Of the 425 sampled, 255 respond yes. Calculate the test statistic for the hypothesis test.
Mathematics
1 answer:
7nadin3 [17]4 years ago
4 0

Answer: z(e) = 2.07

Step-by-step explanation:

1.-The problem is about a test of proportions. As research company claims than no more 55 % of Americans regularly watch Fox News

The null hypothesis is  H₀       P₀ ≤ 0.55       from 55%

And the alternative hypothesis is  Hₐ      Pₐ > .55

Is one tail test

2.-We have to specify significance level we assume our test will be for a significance level α = 5%  or α = 0,05

3.-Calculation of z (c) = ??  and z (e) = '??

For z (c) we find in z table the value of  z(c) = 1.64

For z (e) = ( P -P₀)/√p₀q₀/n     z(e) = 0.05 / √(0.55*0,45)/425                         z(e) = 0,05/ 0.02413    z(e) = 2.07

z(e) > z(c)  threfore z(e) is in the rejection zone . We reject null hyothesis

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igor_vitrenko [27]

Answer: 1.4

Step-by-step explanation: First, swap the sides of the equation so that the one with the variable can be in front.

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2 divided by 2 is 0. That leaves you with the y by itself. Then, 2.8 divided by 2 is 1.4

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7 0
3 years ago
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Tickets to a movie cost $7.25 for adults and $5.50 for students a group of friends purchased 8 tickets for $52.75 how many adult
irina1246 [14]

Answer:

The number of adults tickets and student tickets purchased is 5 and 3.

Given that,

Tickets to a movie cost $7.25 for adults and $5.50 for students.

A group of friends purchased 8 tickets for $52.75.

Here we assume the no of adult tickets and no of student tickets be x and y.

Based on the above information, the calculation is as follows:

7.25x + 5.50y = 52.75 .............(i)

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Now put the x value in the equation (1)

So,  

7.25(8-y) + 5.50y = 52.75

7.25 × 8 - 7.25y + 5.50y = 52.75

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So,  

x = 8 - 3

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Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.

-Hope this helps<3

4 0
2 years ago
A group of 83 students are visiting the National Aquarium in Baltimore. Volunteers lead tours for groups no larger than 5 studen
Fiesta28 [93]

Answer:

17 tour guides

Step-by-step explanation:

First, we need to divide 83 by 5.

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As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.

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stiks02 [169]

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Step-by-step explanation:

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3 0
4 years ago
The diameter of a grain of sand is estimated to be about .0024 inches. Write the estimated diameter of a grain of sand in scient
Orlov [11]

Answer:

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