
statistic problem~~!help plz!!?
5. Two different types of alloy, Alloy A and Alloy B, have been used to manufacture a small tension link in a particular engineering application. The ultimate strength (ksi) of each specimen selected at random and tested in the company lab provided the following table:
Strength(ksi)Alloy AAlloy B
26-30 6 4
30-34 12 9
34-38 15 19
38-42 7 10
a)Compute a 95% Confidence Interval for difference between the true proportion of all specimens of Alloy A and Alloy B that have an ultimate strength of at least 34 ksi.
b)Calculate the appropriate test statistic to test the hypothesis: there is no with an ultimate strength of at least 34 ksi, against the alternative hypothesis that there is a difference in the two proportions. Use a level of significance of 0.05.
c)What conclusion do you draw do you draw from the result of part b?
I'm not solving the math for you but 95% CI's are calculated using the formula a) 95% CI= xbar +/- (t(df,.05)*standard error)
b) to test the difference of two proportions you use McNemar's test I believe but I'm sure you can check your class notes on proportion testing and find the answer.
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