Answer Happy

6. According to the U.S. Census, 17.8% of people 25 to 34 years
old live with their parents. From a SRS of 100
people in this age group, 21 live with their parents. Conduct a
hypothesis test at a 10% level of significance to
determine if the true proportion of people 25 to 34 years old
living with their parents is in fact 17.8%.
7. The mean work week for engineers in a start-up company is
believed to be about 60 hours. A newly hired
engineer hopes that it’s shorter. She asks ten engineering friends
in start-ups for the lengths of their mean work
weeks. Based on the results that follow, should she count on the
mean work week to be shorter than 60 hours?
Data (length of mean work week): 70; 45; 55; 60; 65; 55; 55; 60;
50; 55
8. A random survey done by Kaiser Family Foundation found that
political affiliation influenced vaccination
rates more than any other factor. Of the 1000 Democrats surveyed,
921 are fully vaccinated. Of the 1000
Republicans surveyed, 562 are fully vaccinated. Conduct a
hypothesis test to determine if the population
proportions of vaccinations are the same for Democrats and
Republicans.