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Is believed that 80% of adults are honest. An honesty experiment was conducted on a random sample of 50 adults. It was discovered that 42 of the adults were honest. The researcher would like to know if the data provide convincing evidence that more than 80% of adults are honest.

Are the conditions for inference met?

A. Yes, the conditions for inference are met.
B. No, the 10% condition is not met.
C. No, the large counts condition is not met.
D. No, the randomness condition is not met.

Answer :

The first option, “yes, the conditions for inference are met” is correct.

What are population and sample?

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

Lets you're conducting an experiment on the honesty of a random sample of 50 persons. A total of 42 adults were assessed to be trustworthy.

It has to be determined whether the conditions of inference are satisfied.

A) The randomness of the sample.

The sample is given to be randomly selected. So, this condition is satisfied.

B) The number of success and failures must be at least 10.

The success rate is 0.80, and the sample size is 50. As a result, the following conditions must be met:

[tex]\rm n_p\geq 10 \ and \ n\left ( 1-p \right )\geq 10[/tex]

[tex]\rm 50\left ( 0.80 \right )=40 > 10[/tex]

[tex]\rm 50\left ( 1-0.80 \right )=10=10[/tex]

As a result, the sample size is sufficient, and the big numbers requirement is met.

C) 10% condition:

The sample size is modest, at 50 people, and hence represents less than 10% of the population.

As a result, the inference requirements are met.

Thus, the first option “yes, the conditions for inference are met” is correct.

Learn more about the population and sample here:

brainly.com/question/9295991

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