The Covid-19 pandemic has had a major impact on work practices. At the end of 2019 it was estimated that around 30% of t

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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.
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.
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?
What is the probability that the sample showed
the proportion of workers in the gig economy was more than
0.35?
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?