A reporter claims that 90% of American adults cannot name the current vice president of the United States. To investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the current vice president.

Are the conditions for inference met?

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

Conditions for inference are the three conditions on a mean are randomness, whether it is normal distribution and the independence of the test.

Given that,

The reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president.

So the sample is random.

10% condition is also met since the sample size is 50, which must be less than 10% of the total population.

So the 10% condition is also met.

Large counts condition is the condition which requires the sample size to be large enough for the distribution to be approximately normal.

So, the large counts condition is not met.

Hence the correct option is that condition of inference is not met since the Large Counts Condition is not met.

Learn more about Conditions for Inference here :

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pbhjkk pbhjkk · Answer 2 · 2024-10-14T04:51:50-04:00

pbhjkk pbhjkk

14-10-2024

Answer: B

Step-by-step explanation:

No, the Large counts conditio is not met

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