Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
Step-by-step explanation:
The equation that Kaitlyn solved is as follows :
-5.4+x=12.2
The steps to solve it as follows :
Step 1. Add 5.4 to both sides,
-5.4+x+5.4=12.2+5.4
Step 2. 5.4 will cancel out as both have opposite signs
x=17.6
But Kaitlyn solved it as :
5.4.x=6.8
She has multiplied -5.4 and x which is wrong. The correct answer is 17.6.
Answer:
The interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).
Step-by-step explanation:
The confidence interval is the interval estimate of the population parameter.
The confidence interval has a certain probability that the true value of the parameter is contained in the interval.
The general form of the confidence interval is:

Here,
SS = sample statistic.
MOE = margin of error
The sample statistic is an unbiased estimator of the population parameter. If the sample size is large enough then the sample statistic can be used to estimate the population parameter value.
In this case the parameter of interest is the population proportion of American adults who got their health insurance from an employer.
The information provided is:
<em>SS = p = </em>0.45.
<em>MOE</em> = 0.02.
Compute the confidence interval for the population proportion <em>p</em> as follows:

Thus, the interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).
The correct question is
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?
we have that
</span>d(x)=(1/2)x² -10x
we know that
the function is quadratic (a parabola)
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure
the vertex is the point (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level
therefore
the answer is<span>
the lowest altitude is 50 meters under the sea level</span>