1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Umnica [9.8K]
3 years ago
15

A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies a

re boys. Do the results support the belief that 51.5​% of newborn babies are​ boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0​: pequals0.515 Upper H 1​: pnot equals0.515 Your answer is correct.B. Upper H 0​: pequals0.515 Upper H 1​: pgreater than0.515 C. Upper H 0​: pnot equals0.515 Upper H 1​: pequals0.515 D. Upper H 0​: pequals0.515 Upper H 1​: pless than0.515 Identify the test statistic for this hypothesis test.
Mathematics
1 answer:
Molodets [167]3 years ago
5 0

Answer:

A

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5​% of newborn babies are​ boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

You might be interested in
What sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum​
Zina [86]

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

A=P\left(1+\dfrac{r}{100}\right)^t

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting A=8700,r=24,t=3, we get

8700=P\left(1+\dfrac{24}{100}\right)^{3}

8700=P\left(1+0.24\right)^{3}

8700=P\left(1.24\right)^{3}

8700=1.906624P

Divide both sides by 1.906624.

\dfrac{8700}{1.906624}=P

4563.0391729=P

P\approx 4563.04

Therefore, the principal value is about 4563.04.

8 0
3 years ago
Estimate. Then record the product $149 x 5
pashok25 [27]
149 will be rounded to 150 so 150×5= 750
4 0
3 years ago
Does 4/5 equal to 2/7 if not please use &lt; Or &gt;
Darya [45]
4/5 > 2/7  is the answer

God bless!
8 0
3 years ago
Read 2 more answers
A triangular course for a canoe race is marked with buoys. The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg
balu736 [363]
<h2>The race is 1.2 miles long</h2>

Step-by-step explanation:

The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg is 2/5 mi.

\texttt{Length of first leg = }\frac{3}{10}miles\\\\\texttt{Length of second leg = }\frac{1}{2}miles\\\\\texttt{Length of third leg = }\frac{2}{5}miles

Now we need to find length of race

       \texttt{Total length = }\frac{3}{10}+\frac{1}{2}+\frac{2}{5}\\\\\texttt{Total length = }\frac{3}{10}+\frac{5}{10}+\frac{4}{10}\\\\\texttt{Total length = }\frac{3+5+4}{10}\\\\\texttt{Total length = }\frac{12}{10}\\\\\texttt{Total length = }1.2miles

The race is 1.2 miles long

7 0
2 years ago
Write the linear equation that gives the rule for this table. x f(x) 1 22 2 23 3 24 4 25 Write your answer as an equation with f
densk [106]

Answer:

umm that doesn't make a whole lot of sense if its multiple choice can you give us the options please sorry I couldn't answer

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.
    10·2 answers
  • 581/1000 in simplest form?
    6·2 answers
  • The Family Fine Arts Center charges $21 per adult and $13 per senior citizen for its performances. On a recent weekend evening w
    15·1 answer
  • Determine if the events listed are independent or dependent.
    9·1 answer
  • How do you calculate the average mark?
    11·1 answer
  • a hovercraft flew 1700 miles in 4 hours. After a 3 hour stop it flew another 600 miles in 3 hours. including the stop what was t
    10·1 answer
  • Please help quick it’s for 15 points
    5·1 answer
  • What is the slope for the points (-1, 1) and (2, 3)?
    12·1 answer
  • What is the answer of this question I need to know now
    14·1 answer
  • What is the vertex of f(x)=|x-5|+10
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!