Census - In 2020, Pew Research conducted a poll to examine how likely a person was to participate in the 2020 US Census based on their age. They collected a random sample of US adults. There were 1812 people who were 50 years or older. The estimated standard error of the sample proportion is 0.0076.

A normal distribution can be used to model the sampling distribution of sample proportion. The researchers constructed a confidence interval for the actual proportion of US adults aged 50 years or older who said they were likely to participate in the Census.

Following that, they collect a new sample of size 2000 and find that the sample proportion is the same as the first sample proportion.

Consider the statement:
The estimated standard error for the sample proportion based on the new sample is less than the first sample's standard error. Is this statement always true or sometimes true or never true?

a. Always true
b. Sometimes true
c. Never true

Which statement about the relative areas of ? abc and ? xyz is true? the area of ? abc > the area of ? xyz the area of ? abc < the area of ? xyz the area of ? abc = the area of ? xyz more information is needed to compare.

Find the product of (4x + 3y)(4x − 3y). 16x2 − 24xy + 9y2 16x2 − 9y2 16x2 + 24xy + 9y2 16x2 + 9y2

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship