1. A Gallup poll on energy use randomly selected 520 adults and asked if they favoured“increasing the use of nuclear power as a major source of energy”. The poll reported that 224 adults said “Yes”....

1. A Gallup poll on energy use randomly selected 520 adults and asked if they favoured“increasing the use of nuclear power as a major source of energy”. The poll reported that 224 adults said “Yes”. Does this poll give good evidence that more than 39% of all adults are in favour of the increased use of nuclear power?

a) Write down the null and alternative hypotheses.

b) Check the necessary assumptions for carrying out the hypothesis testing.

c) Compute the observed test statistic.

d) Find the corresponding P-value.

e) Based on the P-value in (d) and α = 0.03, what are the decision and final conclusion?