Question

Suppose in a representative sample of adult Americans ages 26 to 32 years, 27% indicated that they owned a fitness band that kept track of the number of steps walked each day and their daily activity levels. Suppose that the sample size was 500. Is there convincing evidence that more than one-quarter of all adult Americans in this age group own a fitness band

Answer 1

Answer: Yes, we have.

Explanation:

Going by the details provided, Probability of success of choosing a citizen with a fitness band 27%

The probability function for expected value shows the Formula to know with sufficient dependence what proportion of the sampled people will have the fitness band.

Since 27% of 500 = 135.

and 135 is more than a quarter of 500(125), then we have enough Evidence that more than a quarter of this age group own a fitness band.