H0: p=0.9Ha: p≠0.91) We know that the sample size is 1,429. For what sample proportion would the p-value be equal to 0.01. Assume that all conditions necessary for inference are satisfied.2) 400 students were randomly sampled from a large university, and 239 said they did not get enough sleep. Conduct a hypothesis test to check whether this represents a statistically significant difference from 50%, and use a significance level of 0.01.3) Given the same situation above (n = 400, p-hat = 239/400) set up a confidence interval at the 95% confidence level.4) Use the confidence interval you found in part (3) above to conduct a hypothesis test on ‘Do less than half of college students get enough slee