(Solved): 2. The reliability of two types of clamps used in the same manufacturing process is to be tested. T ...

2. The reliability of two types of clamps used in the same manufacturing process is to be tested. The first clamp failed to hold in 90 out of 300 trials while the second type failed to hold in 50 out of $250$ trials. Using a $10\%$ level of significance, conduct a hypothesis test to check whether there is a statistically significant difference in the clamp failing rates for the two types. Ho: $p=$