A publisher reports that 80% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 300 found that 74% of the readers owned a laptop. State the null and alternative hypotheses.

The hypothesis is:

H₀: p = 0.80 vs. Hₐ: p ≠ 0.80.

Step-by-step explanation:

The claim made by the reporter is that 80% of the readers of his newspaper owns laptops.

The hypothesis to test this claim can be defined as:

H₀: The population proportion of the readers of this newspaper owns laptops is 0.80, i.e. p = 0.80.

Hₐ: The population proportion of the readers of this newspaper owns laptops is different from 0.80, i.e. p ≠ 0.80.

A z-test for single proportion can be used to draw conclusion about this test.

The information provided is:

The sample size is, n = 300.

The sample proportion is, = 0.74.

The test statistic can be computed using the formula:

The decision rule of the test will be:

If the p-value of the test is less than the significance level, α then the null hypothesis will be rejected. And if the p-value is more than the significance level then the null hypothesis will be accepted.

y=1/4x-4

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: