What is the equivalent of 2/5 x 3/8
1 answer:
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Answer:
a) The sample proportion is 0.06.
b) The test statistic is z = -1.89.
c) 0.0294
d) 0.294 < 0.05, which means that there is enough evidence that p is less than 0.1, which means that we reject the null hypothesis, and accept the shipment.
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
a. Calculate the sample proportion p.
200 potatoes, 12 defective.
This means that
The sample proportion is 0.06.
b. Calculate the test statistic.
For a proportion p, we have that:
In this question, since
SRS of 200 means that
means that
. So
The test statistic is z = -1.89.
c. Find the p-value.
Looking at the z-table, has a pvalue of 0.0294, which is the pvalue of this hypothesis test.
d. Given α=0.05 what is your conclusion? Should he reject the shipment?
0.294 < 0.05, which means that there is enough evidence that p is less than 0.1, which means that we reject the null hypothesis, and accept the shipment.