5. Use the critical value method with a 0.05 signicance level to test the claim that the proportion of zero equals 0.100 using the following steps: (a) What is a, the area in the excluded tail(s)? HINT: Don't overthink this. (b) Given a and the answer from #3, nd the critical value(s), zc. Lefttailed should have a negative answer, righttailed a positive answer, and two-tailed have two values (+ or the same number) 2(; = (c) Draw a graph showing the test statistic, critical value(s), and critical region. (d) By comparing 2 and zc, do we "reject" or "fail to reject" the null hypothesis (there are only two choices)? State the reason for your choice. For example, if righttailed z > 2.: would put you in the rejection region and indicate you reject the null hypothesis. (e) What can we conclude about the original hypothesis? Be sure to include language including one of the four phrases \"there is sufficient evidence to reject the claim that \"there is not sufcient evidence to reject the claim that , there is sufcient evidence to support the claim that or "there is not sufcient evidence to support the claim that 6. Use the P-value method with a 0.05 significance level to test the claim that the proportion of zero equals 0.100 using the following steps: (a) What is a, the area in the excluded tail(s) in #3? HINT: Don't overthink this. (b) From the test statistic, find the P-value. If two-tailed, make sure the P-value includes both tails (depending on how you get it, you may or may not need to double the result). P-value = (c) Draw a graph showing the test statistic and P-value (if two-tailed, you will want to show z and -z, so that you can indicate the two regions that add up to the P-value). Also show the critical region a, which is a different area than the area for P. Since the two areas overlap, use different shading for each. (d) By comparing a and P-value, do we "reject" or "fail to reject" the null hypothesis (there are only two choices)? State the reason for your choice. For example, if P , or -7'-' , and what that indicates. 4. Calculate the test statistic 2. 0K to use technology, but rst state the equation that would be used to calculate 2 when doing a onepopulation test of proportions. Z: 7. (a) Use the sample data to construct a 95% confidence interval estimate of the proportion of zeros. Use of technology OK, equation is already shown below. pa E = Zal2N n P-E