Answer:
The p value for this test is given 
Since the p value is higher than the significance level given of
we have enough evidence to FAIL to reject the null hypothesis. And we can say that the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workersis is not significantly higher than 0.85 or 85% at 5% of significance.
Step-by-step explanation:
We define the proportion of interest as p who represent the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workers
And we want to anaylze the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
And the statistic for this test is given by:

The p value can be calculated with this formula:

And the p value for this test is given 
Since the p value is higher than the significance level given of
we have enough evidence to FAIL to reject the null hypothesis. And we can say that the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workersis is not significantly higher than 0.85 or 85% at 5% of significance.
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8<span> is a rational number because it can be written as the fraction </span>8/1. <span>In mathematics, a </span>rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a </span>rational number. ... A real number<span> that is not </span>rational<span> is called irrational.</span>
Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting
in the above formula, we get



On further simplification, we get



Therefore, the amount in the account after three years is $16723.51.
Answer:
there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
Step-by-step explanation:
Given that:
A marketing organization claims that more than 10% of its employees are paid minimum wage.
The null hypothesis is:

The alternative hypothesis is:

If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted
i.e Decision Rule: fails to reject the null hypothesis
Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
Supercalifragilosticexpialidocious
good expilnation