the employment and training administration reported that the U.S. mean unemployment insurance benefit is $347 per week. A research in the state of New York anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in NY was below the national level. For a sample of 100 individuals in NY, the sample mean weekly unemployment insurance benefit was $323. Population standard deviation is $95.

i. what is margin of erro for a 95% confidence interval for population average of weekly unemployment inurance benfit in NY?

ii. construct a 95% confidence interval for the population average weekly unemplyment insurance benefit in NY.

iii.construct a 74% confidence interval for the population average weekly unemplyment insurance benefit in NY.

Refer to question above

the employment and training administration reported that the U.S. mean unemployment insurance benefit is $347 per week. A research in the state of New York anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in NY was below the national level. For a sample of 100 individuals in NY, the sample mean weekly unemployment insurance benefit was $323.

conduct the hypothesis test for the research's claim with the 1% significance level. Standard deviation is 95$

i. what are the null and alternative hypothesis?

ii. what is the test statistic?

iii. find the rejection region

iv. calculate the resulting test statistic and draw a conclusion for your test.