Last three questions **Survey Analysis on Adults' Cell Phone Use in the Bathroom**In a survey conducted by a reputable marketing agency, 279 out of 1000 adults aged 19 years or older admitted to bringing and using their cell phones on every trip to the bathroom, which includes activities like texting and answering phone calls. Complete the following sections to understand this survey's findings.---**(a) Population of Interest**- The population is the adults 19 years of age or older.- **Input Required:** Type a whole number to define the specific population size.**(b) Variable of Interest**- Identify if the variable in this study is qualitative or quantitative.- **Variable Type:** Choose between qualitative or quantitative.- **Explanation:** The variable is considered quantitative because it involves numerical data.**(c) Point Estimate Calculation**- Compute a point estimate for the proportion of adults who bring their cell phone to the bathroom. Denote this proportion with \(\hat{p}\).- **Instruction:** Round to three decimal places as needed.**(d) Understanding the Point Estimate as a Statistic**1. Evaluate why the point estimate (\(\hat{p}\)) is considered a statistic and its nature as a random variable.2. Reflect on the source of variability: - Possible answers for why it’s a statistic: Sample size, reliance on sample data, inferencing purpose. - Source of variability: Sample size, survey question, individual selection, random errors.**(e) Confidence Interval Construction**- Develop and interpret a 95% confidence interval for the overall population proportion who display this behavior.- **Choice:** Enter numbers in the provided boxes indicating the confidence range: - Option A: State the probability likelihood for a specific range. - Option B: Assert confidence in a range where proportions may fall.**(f) Representativeness of the Study**- Determine what ensures the study results are representative of the general adult population.- Options include factors like randomness, confidence level, sample size, and sampling criteria.---This exercise will guide you through identifying statistical variables, calculating estimations, and understanding statistical inference methods.

The random variable confession follows binomial distribution. The number of successes is 279. The sample size is 1000. We have to construct 95% confidence interval for the population proportion.(A). Its value may change depending on the individuals in the survey. (D). Its value is based on a sample. (B). The question asked in the survey.Sample proportion = 0.279. From Z-table, the z-critical value at 95% level is 1.96. (B). We are 95% confident that the proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom is between 0.251 and 0.307.(C). The large sample size.