A start-up company is developing a new dating app and the marketing manager wants to better understand usage of dating apps by younger adults (under 30 years old).

A random sample of 400 younger adults were randomly selected, and 230 said they had used a dating app.

Keona and Hayden, two of the members of the marketing team, that are seeking your help to make sense of these survey results.

1.)In order for this confidence interval to be appropriate, we need to check if the sample size is large enough. Which of the following statements is correct regarding the sample size check?

The following multiple-choice options contain math elements, so you may need to read them in your screen reader's "reading" or "browse" mode instead of "forms" or "focus"

A.) Since the sample is larger than 25 the large sample assumption is met.

B.)Since n*\hat p = 230np^=230 and n*(1-\hat p) =170n(1p^)=170 are both at least 10, the large sample assumption is met.

2.) Use the survey results to construct a 98% confidence interval.

3.) "Ok", says Keona, "If I'm understanding correctly, this means that there is a 98% chance that the true population proportion of young adults who use a dating app is between the confidence interval we constructed using our sample results."

Help Hayden briefly explain why this statement is incorrect.

4.)Based on your interval, would you suggest to Keona and Hayden that a majority of young adults in the US use a dating app? Explain