A Gallup poll on energy use randomly selected 521 adults and asked if they favoured “increasing the use of nuclear power as a major source of energy”. The poll reported that 234 adults said “Yes”. Does this poll give good evidence that more than 40% of all adults are in favour of the increased use of nuclear power? (a)[1] Write down the null and alternative hypotheses. (b)[1] Check the necessary assumptions for carrying out the hypothesis testing. (c)Compute the observed test statistic. Find the corresponding P-value. (e)Based on the P-value in  and α = 0.04, what are the decision and final conclusion?

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1. A Gallup poll on energy use randomly selected 521 adults and asked if they favoured
“increasing the use of nuclear power as a major source of energy”. The poll reported that
234 adults said “Yes”. Does this poll give good evidence that more than 40% of all adults
are in favour of the increased use of nuclear power?
(a)[1] Write down the null and alternative hypotheses.
(b)[1] Check the necessary assumptions for carrying out the hypothesis testing.
(c)Compute the observed test statistic. Find the corresponding P-value.
(e)Based on the P-value in  and α = 0.04, what are the decision and final conclusion?

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