Your cousin earned $4.80 last week by recycling an unknown number of cans and 7 plastic bottles. The cans were worth $0.05 each
2 answers:
The number of cans recycled will be 82.
<u>Explanation</u>
Lets assume, the number of cans is
There are 7 plastic bottles. Each can worth $0.05 and each bottle worth $0.10
So, the total earning from the cans dollar
and the total earning from the bottles dollar
As the total earning from cans and bottles is given as $4.80, so...
So, the number of cans recycled will be 82.
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Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.
<h3>What are the hypotheses tested?</h3>At the null hypotheses, we test if the proportion of successes equals 0.5, hence:
At the alternative hypotheses, we test if it does not equal, hence:
The test statistic is given by:
In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
- n is the sample size.
For this problem, the parameters are given by:
Hence the test statistic is given by:
z = (0.35 - 0.5)/(0.5/sqrt(40))
z = -1.9.
<h3>What is the decision?</h3>Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.
Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.
More can be learned about the z-distribution at brainly.com/question/16313918
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