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Math Help - Hypothesis Testing

  1. #1
    lpd
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    Hypothesis Testing

    Hi I have this question.

    If 26 of 200 tyres of brand A failed to last 20,000 miles, while the corresponding gures for 200 tires of  Brands B, C, and D were 23, 15 and 32, test the null hypothesis that there is no di erence in the quality of the four kinds of tyres.
    Use \alpha = 0.05.

    Thank-you so much!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by lpd View Post
    Hi I have this question.

    If 26 of 200 tyres of brand A failed to last 20,000 miles, while the corresponding gures for 200 tires of  Brands B, C, and D were 23, 15 and 32, test the null hypothesis that there is no dierence in the quality of the four kinds of tyres.
    Use \alpha = 0.05.

    Thank-you so much!
    What have you done? What specific difficulties do you have with this question?

    The null hypothesis is that there is no difference.

    CB
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  3. #3
    lpd
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    What kind of test should I use for this particular distribution?
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by lpd View Post
    What kind of test should I use for this particular distribution?
    The number of failure in 200 trials with a given probability p has a binomial distribution B(200,p), which you can probably approximate in this case by a normal. You now need to find an interval such that the probability of none of four observations from this distribution are out side is 5%.

    CB
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