Question Two The Covid-19 pandemic has had a major impact on work practices. At the end of 2019 it was estimated that ar

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Question Two The Covid-19 pandemic has had a major impact on
work practices. At the end of 2019 it was estimated that around 30%
of the US workforce was part of the Gig Economy - that is those
that are free-lancing or working in on-demand job roles as opposed
to the traditional employment relationship. Recent data has
indicated that this may well have increased.
a. Assuming there has been no increase in the proportion of
people working in on-demand/gig economy roles, what is the
probability that in a sample of 10 workers, at least 5 were working
in the gig economy.
b. Suppose a government statistical bureau conducted a survey of
1000 workers. What is the probability that the proportion working
in the gig economy was more than 0.32?
c. What is the probability that the sample showed the proportion
of workers in the gig economy was more than 0.35?
d. If the statistical bureau did find a sample proportion of
0.35 what does this say about the proposition that the proportion
of workers in the gig economy had increased?