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    Dhriti grows tomatoes. Over a period of time, she has found that there is a probability 0.3 of a ripe tomato having a diameter greater than 4 cm. She decides to try a new fertiliser. In a random sample of 40 ripe tomatoes, 18 have a diameter greater than 4 cm. Dhriti claims that the new fertiliser has increased the probability of a ripe tomato being greater than 4 cm in diameter.

    Test Dhriti’s claim at the 5% level of significance. State your hypotheses clearly.


    H_0: p = 0.3
    H_1: p > 0.3

    X ~ Bo(40,0.3)
    P(X=>18) = 1 - P(X<=17)
    = 0.032

    0.032 < 0.05 so it is significant

    doesn't this mean you reject H_0? the mark scheme says that there is no evidence to reject H_0, is this correct?

    thanks in advance
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    (Original post by ihatestats)
    Dhriti grows tomatoes. Over a period of time, she has found that there is a probability 0.3 of a ripe tomato having a diameter greater than 4 cm. She decides to try a new fertiliser. In a random sample of 40 ripe tomatoes, 18 have a diameter greater than 4 cm. Dhriti claims that the new fertiliser has increased the probability of a ripe tomato being greater than 4 cm in diameter.

    Test Dhriti’s claim at the 5% level of significance. State your hypotheses clearly.


    H_0: p = 0.3
    H_1: p > 0.3

    X ~ Bo(40,0.3)
    P(X=>18) = 1 - P(X<=17)
    = 0.032

    0.032 < 0.05 so it is significant

    doesn't this mean you reject H_0? the mark scheme says that there is no evidence to reject H_0, is this correct?

    thanks in advance
    I can't see anything wrong with your answer
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    (Original post by ihatestats)
    Dhriti grows tomatoes. Over a period of time, she has found that there is a probability 0.3 of a ripe tomato having a diameter greater than 4 cm. She decides to try a new fertiliser. In a random sample of 40 ripe tomatoes, 18 have a diameter greater than 4 cm. Dhriti claims that the new fertiliser has increased the probability of a ripe tomato being greater than 4 cm in diameter.

    Test Dhriti’s claim at the 5% level of significance. State your hypotheses clearly.


    H_0: p = 0.3
    H_1: p > 0.3

    X ~ Bo(40,0.3)
    P(X=>18) = 1 - P(X<=17)
    = 0.032

    0.032 < 0.05 so it is significant

    doesn't this mean you reject H_0? the mark scheme says that there is no evidence to reject H_0, is this correct?

    thanks in advance
    I agree too
 
 
 
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