Answer:
p=2 w=3
Step-by-step explanation:
6p-2-3p=4 combine like terms. 3p-2=4. add 2 to both sides. 3p=6. divide 6 both sides by 3. p=2
7w-5=-2w+22. Combine like terms on same sides. 7w+2w=5+22. 9w=27. Divide both sides by 9. w=3.
Finding the p-value of the test using the z-distribution, as we are working with a proportion, it is found that this was a significant difference for levels of significance of 0.02 and lower.
<h3>What are the hypothesis test?</h3>
At the null hypothesis, we test if the proportion is of 50.3%, hence:

We have a two-tailed test, hence at the alternative hypothesis we test if the proportion is different, that is:

<h3>What is the test statistic?</h3>
The test statistic is given by:

In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
In this problem, the parameters are:

Hence:



<h3>What is the p-value?</h3>
Considering a two-tailed test, using a z-distribution calculator, the p-value is of 0.0203. Hence this was a significant difference for levels of significance of 0.02 and lower.
More can be learned about the z-distribution at brainly.com/question/26454209
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