Please Simplify 5(x - 6)
2 answers:
Final Answer:
Steps/Reasons:
Question: Simplify
<u>Step 1</u>: Expand by distributing the terms.
×
<u>Step 2</u>: Simplify ×
to
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Our equation looks like:
This means that we will need to distribute. This means that we need to multiply everything inside the parenthesis by the number outside of the parenthesis. (<em>Note: you only distribute when variables are involved.)</em>
Simplify:
We cannot simplify any further, so we know that our equation, until we know what x equals, is .
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Answer:
a) The null and alternative hypothesis are:
b) If 300 families were sampled, for a significance level of 5%, there is enough evidence to support the claim that a smaller proportion of American families own stocks or stock funds this year than 10 years ago (P-value = 0.001).
Step-by-step explanation:
The claim that we want to have evidence to support is that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.
The hypothesis for this test should state:
- For the null hypothesis, that the population proportion is not significantly different from 53%.
- For the alternative hypothesis, that the population proportion is significantly less than 53%.
If 300 families are sampled, we can perform a hypothesis test for a proportion.
The claim is that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=300.
The sample proportion is p=0.44.
The standard error of the proportion is:
Then, we can calculate the z-statistic as:
This test is a left-tailed test, so the P-value for this test is calculated as:
As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.