5. In 2013, about 35% of households in the United States owned some type of gaming console. In a random sample of 400 households in 2020, 160 households owned some type of gaming console. Has the percentage of households that own some type of gaming console increased since 2013? Use a level of significance of 0.05. a. (4 points) State the appropriate null and alternative hypotheses. b. (4 points) Calculate the test statistic Answer: c. (4 points) Calculate the corresponding p-value. Answer: d. (4 points) Make a statistical decision using level of significance of 0.05. Justify your decision. e. (4 points) Interpret your decision in the context of the problem.In a random survey of 200 households, 80 were found to own a 4K TV. 3. (5 points) Construct a 90% confidence interval for the proportion of households that own a 4K TV. 4. (3 points) Interpret your confidence interval in the context of the