The table represents some points on the graph of a linear function.

In a study of pain relievers, 20 people were given product A, and 14 experienced relief. In the same study, l00 people were give

Ivanshal [37]

Answer:

Product A performed better in the study because only 30% failed to get relief with this product, whereas 39% failed to get relief with Product B.

Step-by-step explanation:

Sample A = 20 people

Experienced relief in A = 14 people

Sample B = 100 people

Experienced relief in B = 61 people

The percentages of people who failed to get relief with each product are defined as follows:

$F_A = (1-\frac{14}{20})*100\%\\ F_A=30\%\\\\F_B = (1-\frac{61}{100})*100\%\\ F_B=39\%$

Therefore, Product A performed better in the study because only 30% failed to get relief with this product, whereas 39% failed to get relief with Product B.

8 0

3 years ago

57% of men consider themselves professional baseball fans. you randomly select 10 men and ask each if he considers himself a pr

Novay_Z [31]

Answer: A

Step-by-step explanation:

Use this equation:

57/100 = X/10.

Cross multiply the two fractions (57x10)

=570

Now divide 570 by the only number left, 100.

=5.7

To solve this question, you have to estimate a little bit and find the closest answer.

5 0

3 years ago

Given the functions f(x)=1x−4+3 and g(x)=1x+1+6.

Lubov Fominskaja [6]

The statement that describes the transformation of the graph of function f onto the graph of function g is:

The graph shifts 5 units left and 3 units up.

<h2>Transformations</h2>

The given functions are:

f(x) = (x-4) + 3

g(x) = (x+1) + 6

Comparing the functions f(x) = (x-4) + 3 and g(x) = (x+1) + 6

Difference between f(x) and g(x) on the x-axis = 1 - (-4) = 5

Difference between f(x) and g(x) on the y-axis = 6 - 3 = 3

From the comparison made above, we can conclude that:

The graph of f(x) is shifted to the left by 5 units to form g(x)

The graph of f(x) is shifted up by 3 units to form g(x

Learn more on transformation here: brainly.com/question/10222182

8 0

2 years ago

Which of the sequences is an arithmetic sequence?

boyakko [2]

The sequence which shows arithmetic sequence is -3, -10, -17, -24, -31, ....... so the correct option is Option D.

<h3>What is Arithmetic Sequence?</h3>

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.

Here, out of the given option option D follows the definition.

Difference between two consecutive term is equal.

-10 - (-3) = -10 + 3 = -7

-17 - (-10) = -17 + 10 = -7

-24 - (-17) = -24 + 17 = -7

-31 - (-24) = -31 + 24 = -7

Thus, the sequence which shows arithmetic sequence is -3, -10, -17, -24, -31, ....... so the correct option is Option D.

Learn more about Arithmetic Sequence from:

brainly.com/question/15412619

#SPJ1

6 0

2 years ago

For a test of population proportion H0: p = 0.50, the z test statistic equals 1.05. Use 3 decimal places. (a) What is the p-valu

sergiy2304 [10]

Answer:

(a) The p-value of the test statistic is 0.147.

(b) The p-value of the test statistic is 0.294.

(c) The p-value of the test statistic is 0.8531.

(d) None of the p-values give strong evidence against the null hypothesis.

Step-by-step explanation:

The p-value is well defined as the probability,[under the null hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

We reject a hypothesis if the p-value of a statistic is lower than the level of significance α.

The null hypothesis for the test of population proportion is defined as:

H₀: p = 0.50

The value of z-test statistic is,

z = 1.05

(a)

The alternate hypothesis is defined as:

Hₐ: p > 0.50

Compute the p-value of the test statistic as follows:

$p-value=P(Z>1.05)\\=1-P(Z$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.147.

(b)

The alternate hypothesis is defined as:

Hₐ: p ≠ 0.50

Compute the p-value of the test statistic as follows:

$p-value=2\times P(Z>1.05)\\=2\times 0.1469\\=0.2938\\\approx 0.294$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.294.

(c)

The alternate hypothesis is defined as:

Hₐ: p < 0.50

Compute the p-value of the test statistic as follows:

$p-value= P(Z1.05)=1- 0.1469\\=0.8531$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.8531.

(d)

The decision rule of the test is:

If the p-value of the test is less than the significance level α, then the null hypothesis is rejected at α% level of significance.

And if the p-value of the test is more than the significance level α, then the null hypothesis is failed to be rejected.

The most commonly used level of significance are:

α = 0.01, 0.05 and 0.10

The p-value for all the three alternate hypothesis are:

p-values = 0.147, 0.294 and 0.8531.

All the p-values are quite large compared to the α values.

Thus, none of the p-values give strong evidence against the null hypothesis.

The null hypothesis was failed to be rejected.

5 0

3 years ago