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Setler79 [48]
3 years ago
6

Males and females (ages 13–18) were surveyed to choose a favorite free-time activity: playing computer games, listening to music

, or watching movies/TV. The survey showed the following frequencies:
Females—playing computer games: 4; music: 20; watching movies/TV: 16 Males—playing computer games: 15; music: 12; watching movies/TV: 13

Which of the following is a correct two-way frequency table for the data?

Mathematics
2 answers:
liq [111]3 years ago
8 0
 Gender  |  Games| Music | Movies/TV |
Female   |   4         | 20      |   16
Male       | 15         | 12      |   13
Total       | 19         |  32     |   29


Something like that :)
Oliga [24]3 years ago
4 0

Answer:

The required two-way frequency table for the data is attached below.

Step-by-step explanation:

The given data represents the Males and females (ages 13–18) who choose favorite free-time activity: playing computer games, listening to music, or watching movies/TV .

It relative frequency table first row represents the name of activities and first column represents the gender.

From the given data we can say that,

Females—playing computer games = 4

Females—music = 20

Females— watching movies/TV = 16

Total number of females is

4+20+16=40

Males—playing computer games = 15

Males—music = 12

Males— watching movies/TV = 13

Total number of males is

15+12+13=40

Total number of males and females who like computer games is

4+15=19

Total number of males and females who like music is

20+12=32

Total number of males and females who like watching movies/TV is

16+13=29

Therefore the required two-way frequency table for the data is attached below.

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Step-by-step explanation:

8 more than s stripes is the same as 8×s stripes

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In the past, the population proportion of consumers preferring orange juice with no pulp was equation. To test if this populatio
geniusboy [140]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

a) For the null hypothesis,

P = 0.45

For the alternative hypothesis,

P ≠ 0.45

b) For the decision rule, we would reject H0 if 0.1 > p value and accepth H0 if 0.1 < p value

Considering the population proportion, probability of success, p = 0.45

q = probability of failure = 1 - p

q = 1 - 0.45 = 0.55

Considering the sample,

Sample proportion, p = x/n

Where

x = number of success = 52

n = number of samples = 120

p = 52/120 = 0.43

c) We would determine the test statistic which is the z score

z = (p - P)/√pq/n

z = (0.43 - 0.45)/√(0.45 × 0.55)/120 = - 0.44

Recall, population proportion, P = 0.45

The difference between sample proportion and population proportion(P - p) is 0.45 - 0.43 = 0.02

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.45 - 0.02 = 0.43

the p for the right tail is 0.45 + 0.02 = 0.47

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.3336

We would double this area to include the area in the right tail of z = 0.44 Thus

p = 0.3336 × 2 = 0.67

d) Since alpha, 0.1 < than the p value, 0.67, then we would fail to reject the null hypothesis. Therefore, at a 1% level of significance, we do not have enough evidence to reject the​ null hypothesis

4 0
3 years ago
If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0
3 years ago
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