1. Suppose that 200 Riddel 360 helmets are tested and 195 show no defects in the spring-like facemask. Conduct a hypothesis test at the a = 0.01 level of significance to determine if the manufacturer...

1. Suppose that 200 Riddel 360 helmets are tested and 195 show no defects in the spring-like facemask. Conduct a hypothesis test at the a = 0.01 level of significance to determine if the manufacturer is justified in making a claim that over 95% of the Riddel 360 helmets have a facemask that is defect-free. Include all 5 steps shown in class. (5 points)
a. Ho: P=0.9
Hi: P > 0.95
b. T.s= Z= 1.622 c. P-value= 0.0523 d. p - value > a so not reject Ho e. We do not have enough evidence to show the over 95% of the Riddel 360 helmets have a facemask that is defect free at the a = 0.01 level of significance
2. What is the corresponding confidence level to problem #1 and what is the corresponding confidence interval? (2 points)1 Confidence Level: 99% Two or One sided (If one sided, upper or lower bound): Confidence Interval:
3. As discussed in class, sometimes confidence intervals for proportions are not consistent with their corresponding hypotheses tests. Is the confidence interval you calculated in #2 consistent with the corresponding hypothesis test you conducted in #1? Briefly explain why or why not. (1 point)