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A publisher reports that 35% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

Leviafan [203]

Answer:

The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

Step-by-step explanation:

A publisher reports that 35% of their readers own a laptop.

This means that the null hypothesis is:

$H_0: p = 0.35$

A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

This means that the alternate hypothesis is:

$H_{a}: p \neq 0.35$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.35 is tested at the null hypothesis:

This means that $\mu = 0.35, \sigma = \sqrt{0.35*0.65}$

A random sample of 190 found that 32% of the readers owned a laptop.

This means that $X = 0.32, n = 190$

Z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}$

$z = -0.87$

pvalue of the test and decision:

As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87

Looking at the z-table, z = -0.87 has a pvalue of 0.1922

2*0.1922 = 0.3844

0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

5 0

3 years ago

What is the inverse of the function y = 3e-4x + 1?

OLga [1]

Hello,
Please, see the attached file.
Thanks.

7 0

4 years ago

Match the following research designs to the appropriate inferential statistic Group of answer choices Predictor: categorical wit

lisov135 [29]

Answer:

Chisquare test

t - test

Correlation

ANOVA, F ratio.

Step-by-step explanation:

The Chisquare test is suitable for testing categorical variables with factors levels more than 3.

The t test of independence is suitable for testing continous variable, however re we use the two independent sample t test.

Correlation test is used to examine the relationship between two continous variable, cannot be used for categorical variables.

Analysis of Variance is use to test categorical variables with at lead three factor levels. The F ratio allows measurement and establishing of statistical significance exists between variables.

4 0

3 years ago

A party size bag of tortilla chips normally costs 3.80. The supermarket has them on sale today for 2.85.what is the percentage o

3241004551 [841]

The percentage of the discount is 75%

8 0

4 years ago

Read 2 more answers

Find the axis of symmetry:<br> Picture is below.

trapecia [35]

Answer:

x = -3

Step-by-step explanation:

<h3>Axis of symmetry: </h3>

Axis of symmetry is the vertical line that divides the parabola into two equal halves and it passes through the vertex of the parabola.

From the graph, Vertex (-3, 4)

Axis of symmetry: x = -3

4 0

2 years ago