2008 q 25 DSE

[aditi5000]

q 25
null hypo - pi = .1
alt hyp - pi not = .1
mu = .75
x bar = .1
z = ? sigma = ??
So how do we arrive at answer c... do we calculate a test statistic even? because definitely d can be eliminated becuase power of the test is > for a one sided than a two sided but it is uniform across both one sided tests... but that still leaves a- c..
Also, in a 2-tailed test , the prob of type 1 error has to be 10% ie 0.1. Option a says 0.005, which is wrong. eliminate a
But what about option B? it says ha <0.1, reject ho at 5% level and pr type 1 error = 0.05 and note that 400 mangoes 10% means 40 but we are told that from the sample 30 are rotten .. that's 7.5% so a test which says <0.1 could make sense
So can someone please explain why answer is option c... how can we calculate a test statistic here?

[duck12]

Aditi it's a 2-tailed test na, so the prob of type 1 error has to be 10% ie 0.1. Option a says 0.005, which is wrong

[Chinni18]

But duck12, that doesn't explain it. What about option b then? How do you eliminate that?

[duck12]

Oh. Ya tht dint occur to me. Maybe if v cud calculate sigma somehow? I have no idea hw to do this?
Can someone plzz help?

[aditi5000]

Someone please have a look at this.. any inputs would be much appreciated :)

[Mr. Nobody]

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[aditi5000]

Hey Ram! Thank you :)

[Chinni18]

Lovely! Thanks ram!

[Mr. Nobody]

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