In a recent Super Bowl, a TV network predicted that 31 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 120 people who saw the commercials and found that 40 of them said they would watch one of the television shows. Suppose you have the following null and alternative hypotheses for a test you are running:1. H0: p = 0.53 Ha: p ≠ 0.53
2. H0: p = 0.53 Ha: p ≠ 0.53
Calculate the test statistic, rounded to 3 decimal places.

Answers

Answer 1
Answer:

Answer:

-4.317

Step-by-step explanation:

The z test statistic for testing of 1-proportion can be computed as

z=\frac{phat-p}{\sqrt{(pq)/(n) } }

We know that

phat=x/n.

We know that x=40 and n=120.

Thus,

phat=40/120=0.3333

p=hypothesized proportion=0.53

q=1-p=1-0.53=0.47

So, required z-statistic is

z=\frac{0.3333-0.53}{\sqrt{(0.53(0.47))/(120) } }

z=(-0.1967)/( 0.04556 )

z=-4.317.

Thus, the required test statistic value for given hypothesis is z=-4.317.


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Nikki makes $9.50 an hour working at Current Electronics She plans to buy a DVD recorder that costs $269.60. Write and solve an inequalitydescribing how many hours h Nikki will have to work to be able to buy the DVD recorder
A. 269,60 -- 29.56; 28 hours
B. 9.50h 2 269,60; 29 hours
C. 269.60 + h 29.50; 31 hours
D. 269.60 2 9,50; 30 hours

Answers

Answer:I would believe it's the first choice. I'm not great with the inequalities though so it could be wrong. If you work 29 hours making $9.50, you make like $275 or something so it is greater than the $269.60 you need. :D

Answer:

nikki should quit her job

How many times does 36 go into 180

Answers

It would be 5. Hope this helps. :)
the answer is 5 hoped that helped

Wyatt surveyed 200 of the students in his school about their favorite color. 30% said their favorite color was purple. How many students' favorite color was purple?

Answers

60. 200 x .3 equals 60

Answer:60

Step-by-step explanation:

Sand poured from a beach pail forms a cone with a height of 32 centimeters and a volume of 3351.0 cubic centimeters. What is the radius of the sand poured from a beach pail in the shape of a cone?

Answers

Answer:r=10 cm

Step-by-step explanation:

Given

Height of Cone h=32\ cm

Volume V=3351\ cm^3

and Volume of cone V=(1)/(3)\pi r^2h

\Rightarrow 3351=(1)/(3)\pi (r)^2* 32

\Rightarrow \pi r^2=(10,053)/(32)

\Rightarrow r^2=(314.156)/(3.142)

\Rightarrow r=√(99.986)

\Rightarrow r=9.99\approx 10\ cm

Answer:

Radius = 5.77231 cm

Step-by-step explanation:

Volume of Cone  Vc = \pi r^2 (h/3) ;

where h = height of cone, r = radius, \pi = 22/7

Given : Vc = 32 , h = 32 , r = ?

As per formula :- 3351 = (22/7) (r^2) (32)

r^2 = (3351 x 7) / (32 x 22)

r^2 = 33.3196

r = √33.3196 = 5.77231

A steep mountain road has a grade of 8%, which means that the road rises 8 feet vertically for every 100 feet it travels horizontally. write the grade as a ratio in simplest form.

Answers

8/100, both can be divided by four, so in simplest form 2/25

Rolling a 12 sided die find the odds in favor of rolling a 5
rolling a multiple of 3
rolling an odd number
rolling a number greater than 6

Find each probability of
P(5)
P(# less than 3)
P(odd)
P(13)

Answers

Answer:

1/12 , 1/3 , 1/2 , 1/2

Step-by-step explanation:

P(x) = favorable of x / total

plug in your conditions and you get the probablility

Answer:

1/12 for rolling a 5.

4/12 for multiples of 3. (3,6,9,12)

6/12 for rolling an odd number.(1,3,5,7,9,11)

6/12 for rolling a number greater than 6. (7,8,9,10,11,12)

Step-by-step explanation: