A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 5% are worn out at 60,000 miles. The manufacturer tests 250 tires that have been used for 60,000 miles. They find that 3.6% of them are worn out. With this data, we test the following hypotheses. LaTeX: H_0H 0: The proportion of tires that are worn out after 60,000 miles is equal to 0.05. LaTeX: H_aH a: The proportion of tires that are worn out after 60,000 miles is less than 0.05. What assumption about the sample underlies the hypothesis test?

a. The sample comes from a population of tires with 60,000 miles where 5% of tires are worn out.
b. The sample comes from a population of tires with 60,000 miles where 3.6% of the tires are worn out.
c. The sample comes from a population of tires where 250 are used for 60,000 miles.
d.The sample comes from a population of 250 tires that have a 60,000 mile warranty.

Question

28-04-2020
Mathematics

contestada

A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 5% are worn out at 60,000 miles. The manufacturer tests 250 tires that have been used for 60,000 miles. They find that 3.6% of them are worn out. With this data, we test the following hypotheses. LaTeX: H_0H 0: The proportion of tires that are worn out after 60,000 miles is equal to 0.05. LaTeX: H_aH a: The proportion of tires that are worn out after 60,000 miles is less than 0.05. What assumption about the sample underlies the hypothesis test?

a. The sample comes from a population of tires with 60,000 miles where 5% of tires are worn out.
b. The sample comes from a population of tires with 60,000 miles where 3.6% of the tires are worn out.
c. The sample comes from a population of tires where 250 are used for 60,000 miles.
d.The sample comes from a population of 250 tires that have a 60,000 mile warranty.

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AyBaba7 AyBaba7 · Answer 1 · 2020-04-28T10:49:17+02:00

Answer:

Option A is correct.

The sample comes from a population of tires with 60,000 miles where 5% of tires are worn out.

Step-by-step explanation:

Note that in hypothesis testing,

The null hypothesis plays the devil's advocate and maintains that there is no significant difference between two quantities being compared.

It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

While, the alternative hypothesis takes the other side of the hypothesis; that there is indeed a significant difference between two quantities being compared.

usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

The null hypothesis is what is obtainable if random factors are responsible for the outcome of the hypothesis testing.

Hence, the statement of the null hypothesis is the underlying assumption about the sample if the hypothesis testing is to be carried out.

Hope this Helps!!!

jainveenamrata jainveenamrata · Answer 2 · 2022-04-06T07:05:11+02:00

The sample comes from a population of tires with 60,000 miles where 5% of tires are worn out. Then option A is correct.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Usually maintains that significant factors other than random chance, affect the outcome or result of the experimental study and result in its own statement.

The null hypothesis is obtainable if factors are responsible for the outcome of the hypothesis testing.

Thus, the sample comes from a population of tires with 60,000 miles where 5% of tires are worn out.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281