Anewspaper infographic titled "baby's first photo reveal" summarized data from a survey of 1,001 mothers with children under the age of 2. the infographic stated that 82% of moms post new baby photos from the delivery room. this information could be used to provide an estimate of the proportion of new mothers who post pictures on social media from the delivery room. assume that the sample is representative of the population of mothers with children under the age of 2 years.

use the five-step process for estimation problems (emc3) to construct a 99% confidence interval for the proportion of mothers of children under the age of 2 years who post pictures of their new baby on social media from the delivery room. (use a table or technology. round your answers to three decimal places.)

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interpret the interval.

a)we are 99% confident that the mean number of mothers of children under the age of 2 years who post pictures of their new baby on social media from the delivery room falls within this interval.

b)there is a 99% chance that the true proportion of mothers of children under the age of 2 years who post pictures of their new baby on social media from the delivery room falls within this interval.

c)we are 99% confident that the true proportion of mothers of children under the age of 2 years who post pictures of their new baby on social media from the delivery room falls within this interval.

d)we are 99% confident that the true proportion of mothers of children under the age of 2 years who post pictures of their new baby on social media from the delivery room falls directly in the middle of this interval.