In a convenience sample conducted by a marketing agency, 276 of 756 people residing in the U.S. who are age 15-19 years confessed to bringing their cell phone with them on every trip to the bathroom. Check the criteria for calculating a 90% confidence interval. a)p=p^= Round to 3 decimal places, if needed.Check requirements: b) Is this a random sample or a randomized experiment? yes no c) Are the observations independent? Check this by usingn0.05Nn0.05N. 0.05N0.05N What does this tell us the required population size is?Round to 1 decimal place, if needed. NN Note, there is about 20 million 15-19 year olds in the U.S. This means that It is impossible to tell whether the observations are independent or not with the given information. The observations are NOT independent because the sample size is NOT less than 5% of the population size, i.e.n>0.05Nn>0.05N The observations are independent because the sample size is less than 5% of the population size, i.e.n0.05Nn0.05N d) Is the sample size large enough? Check this by usingnp10np^10andn(1p)10n(1-p^)10.Round to the nearest whole number. np=np^= n(1p)=n(1-p^)= This means that the sampling distribution ofpp^is Approximately Normal because the sample sizen30n30. Unknown shape because not enough information is given in the problem. Not Normal becausenpnp^andn(1p)n(1-p^)are not both greater or equal to 10. Approximately Normal regardless of sample size. Approximately Normal becausenp10np^10andn(1p)10n(1-p^)10. Approximately Normal becausenp<10np^<10andn(1p)<10n(1-p^)<10. The criteria to calculate a 90% confidence interval are satisfied? no yes