Name:HOMEWORK 6Sign Test & Z-test1.(11 pts)A hockey team is convinced that the coin used to determine the orderof play is weighted. The team captain steals this special coin and flips it 14times to evaluate the hypothesis that the coin is weighted, and it shows upheads 12 times. Test this hypothesis (use alpha=.05).a.(2 pts) What is the appropriate test? Sign testb.(1 pt) State the null hypothesis: The coin is not weighed.c.(1 pt) State the alternative hypothesis: The coin is weighed.d.(2 pts) Find the critical value: 2, 12e.(1 pt) Calculate the obtained statistic: 12f.(2 pts) Make a decision: Reject null hypothesis.g.(2 pts) What does your decision mean? The coin in weighted.2.(11 pts)A hockey team is convinced that the coin used to determine the orderof play is weighted for heads. The team captain steals this special coin andflips it 14 times to evaluate the hypothesis that the coin is weighted for heads,and it shows up heads 12 times. Test this hypothesis (use alpha=.05).a.(2 pts) What is the appropriate test? Sign test.b.(1 pt) State the null hypothesis: The coin is not weighted for heads.c.(1 pt) State the alternative hypothesis: The coin is weighted for heads.d.(2 pts) Find the critical value: 11e.(1 pt) Calculate the obtained statistic: 12f.(2 pts) Make a decision: Reject null hypothesis.g.(2 pts) What does your decision mean? The coin is weighted for heads.