A popular claim, nicknamed "freshman fifteen," states that many college students gain weight in their freshman year. You are given the 95% confidence interval as 55.9% < p < 78.4%. Correctly interpret the interval.

Question

Mathematics

Gillian Washington

20 June, 01:15

A popular claim, nicknamed "freshman fifteen," states that many college students gain weight in their freshman year. You are given the 95% confidence interval as 55.9% < p < 78.4%. Correctly interpret the interval.

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Burton · Answer 1

Answer: We can be 95% confident that the true proportion of all college students gain weight in their freshman year.

Step-by-step explanation:

A 95% confidence interval interprets that a person can be 95% confident that the true population parameter lies in it.

Given : A popular claim, nicknamed "freshman fifteen," states that many college students gain weight in their freshman year.

The 95% confidence interval as 55.9% < p < 78.4%.

Here : Population parameter = p, where p is the proportion of college students gain weight in their freshman year.

Interpretation of 95% confidence interval : We can be 95% confident that the true proportion of all college students gain weight in their freshman year.