Please give me a solution for the questions.
1) Suppose 60% of people now own smartphones. Assume the Central Limit Theorem conditions are satisfied. In any given sample of any given size, what percentage of people would we expect own smartphones?
2) There is a large bag of colored marbles. 20% are green and 80% are red, draw a marble we then put it back so the next draw is independent of the previous. What is the probability that 5 of the next 10 are green?
3)-5) The rate of asthma attacks in children ages 5-14 was 0.074 in 2009. A researcher is curious advances in technology have reduced this proportion in the half-decade since and decides to a hypothesis test.
3) Choose the correct null and alternative hypotheses
a) Null Hypothesis p=0.0744; Alternative Hypothesis p>0.0744
b) Null Hypothesis p=0.0744; Alternative Hypothesis p<0.0744
c) Null Hypothesis p>0.0744; Alternative Hypothesis p<0.0744
4) In the researcher's sample of 1,500 children, the sample proportion of children was 0.0721. Compute the z-statistic of this sample proportion.
5) What is the p-value?