1. According to the United States Bureau of Labor, the proportion of married couples with children where both of them work outside the home is 53%. You select a simple random sample

(SRS) of 80 married couples.

a. Sketch the sampling distribution of p-hat. Verify the conditions are met to use a normal

model. (6 points)

b. What is the probability that in a sample of 80 married couples, both work outside the home

in less than half of them? Show your work. (4 points)

Asapembassies differ from consulates in thata) compared to a consulate, an embassy is a smaller representation of a nation's government in a foreign country. b) consulates are permanent diplomatic missions generally located in a country’s capital, whereas a country may have a number of embassies in various cities. c) embassies are permanent diplomatic missions generally located in a country’s capital, whereas a country may have a number of consulates in various cities. d) embassies deal solely with economic diplomacy and trade relations, whereas consulates deal primarily with political and diplomatic relations with the host nation. e) countries establish embassies in another nation only if it recognizes the sovereignty of that country, whereas consulates exist without regard to recognition of a nation's sovereignty.