# Hypothesis test - AS

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#1
Hey there guys, I'm stuck at the last revision question this night - a hypothesis testing from the statistic part of the spec.
The question is as follows:
Martin grows cucumbers from seed.
In the past, he has found that 70% of all seeds successfully germinate and grow into cucumber plants.
He decides to try out a new brand of seeds.
The producer of this brand claims that these seeds are more likely to successfully germinate than other brands ofseeds.
Martin sows 20 of this new brand of seeds and 18 succesfully germinate.
Carry out a hypothesis test at the 5% level of significance to investigate the producer's claim.

Well, basically I was trying to set the test up, I've done the
let p be the probability of a seed germinating
H0=0.7
H1>0.7
X-Number of seeds sown
Under H0, X~B(and this is where I'm unsure to put)
I think it should be X~B(20,0.9) since there was 20 plants and 18 germinated, so 18/20 = 0.9 ; but I'd much rather ask if I am correct just in case this comes up in my mock exam.
0
2 years ago
#2
its (20,0.7) the probability used in the brackets is always the H0. Then you do P(x bigger than or equal to 18)
1
#3
Okay, so going with it I've finished the question - could you please check it for errors? I'm so insecure with the hypothesis testing its unreal...

Under H0, X~B(20,0.7)
P(X>=18);
1-P(X=<17)=0.03548
significance = 5%
Since 0.03548<0.05, the result is significant and therefore there is sufficient evidence at the 5% level to reject H0 in favour of the new brand's claim that their seeds are more likely to successfully germinate than other brands of seeds.

Is it roughly correct and enough to get the full marks?
0
2 years ago
#4
It's fine, full marks!
1
2 years ago
#5
(Original post by Treich00)
Okay, so going with it I've finished the question - could you please check it for errors? I'm so insecure with the hypothesis testing its unreal...

Under H0, X~B(20,0.7)
P(X>=18);
1-P(X=<17)=0.03548
significance = 5%
Since 0.03548<0.05, the result is significant and therefore there is sufficient evidence at the 5% level to reject H0 in favour of the new brand's claim that their seeds are more likely to successfully germinate than other brands of seeds.

Is it roughly correct and enough to get the full marks?
ye boi nice one
0
1 year ago
#6
What paper is this from I would really like to try it pls
0
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