Problem 1: Use the following to answer parts a) - c): In a nationwide poll of 1000 randomly sampled adults, 83% said they think children spend too much time on their computers and other electronic devices.' a) (3 points) In testing to see if there is evidence that the population proportion is greater than 80%, what are the null and alternative hypotheses? Use proper notation. Hot Hai b) (3 points) A randomization distribution for the test in part a) is pictured below. Use the given randomization distribution, the given sample statistic, and the fact that there are 500 dots in the distribution, to estimate the p-value. Justify your answer. Dun to too Tell ) Right Tall samples = 500 mean = 0.800 sil. error = 0.012 0.77 0.78 0.79 0.81 0.82 0.83 0.84 null = 0.8 p-value = Justification; c) (2 points) Use a significance level of 5% and your p-value from part b) to make a decision about the hypotheses. Circle the correct decision below. 1. Reject the null hypothesis i1. Accept the null hypothesis Fail to reject the null hypothesis dj (2 points) State the conclusion for the hypothesis test in the context of this