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
aleksandrvk [35]
3 years ago
5

Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h

ypothesis that the population parameter p is equal to .70 against the alternative hypothesis that p is less than .70.
a) nothing that p = .63, what does your intuition tell you? does the value of p appear to contradict the null hypothesis?
b) use the large-sample z-test to test H0: p = .70 against the alternative hypothesis, Ha: p < 70. Use a = .05. How do the test results compare with your intuitive decision from part A?
c) find and interpret the observed significance level of the test you conducted in part B.
Mathematics
1 answer:
irakobra [83]3 years ago
4 0

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = <u><em>population proportion.</em></u>

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, H_0 : p = 0.70      {means that the population proportion is equal to 0.70}

Alternate Hypothesis, H_A : p < 0.70      {means that the population proportion is less than 0.70}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                           T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion = 0.63

            n = sample of observations = 100

So, <u><em>the test statistics</em></u>  =  \frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }

                                     =  -1.528

The value of z-test statistics is -1.528.

<u>Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.</u>

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

You might be interested in
Scateboard cost Rs450each in my local store,The shop keeper says if I buy 1 I can buyanother for only 7/9 of the normal price,ho
Whitepunk [10]

Answer:

the cost will be Rs 350

Step-by-step explanation:

The Scateboard cost Rs 450 each in the local store,The shop keeper says if I buy 1 I can buy another for only \frac{7}{9} of the normal price. We are asked to determine the cost of a second scateboard .

Hence the cost will be \frac{7}{9} of the normal cost that is

\frac{7}{9} \times 450

7 \times 50

350

the cost will be Rs 350

6 0
3 years ago
PLS HURRY
SIZIF [17.4K]
Ummm I think 14 I am now sure tho..??
3 0
2 years ago
Read 2 more answers
Chris and Josh have a total of 1,800 stamps in their collections, Josh and Jessica have a total of 2,200 stamps, and Jessica and
LiRa [457]

Answer: 3000 stamps

Step-by-step explanation:

Given

Chris and Josh have 1800 stamps

Josh and Jessica have 2200 stamps

Jessica and Chris have 2000 stamps

Suppose Chris, Josh, and Jessica have x,y, \text{and}\ z stamps

\therefore x+y=1800\quad \ldots(i)\\\Rightarrow y+z=2200\quad \ldots(ii)\\\Rightarrow z+x=2000\quad \ldots(iii)\\\text{Add (i), (ii), and (iii)}\\\Rightarrow 2(x+y+z)=1800+2200+2000\\\Rightarrow x+y+z=3000

Thus, all three have 3000 stamps

6 0
2 years ago
Math homework need help with this one. Thank you
Sliva [168]
Answer:

At 25 weeks Quert will have more pibs than Gespil.
8 0
3 years ago
I need help please?!!!!!
Oksi-84 [34.3K]

Answer:

negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative

8 0
3 years ago
Read 2 more answers
Other questions:
  • Convert 3/16 inch to a decimal
    11·1 answer
  • Use words to write the following number 24.531
    11·1 answer
  • Slope:1/4, y-intercept:3
    9·1 answer
  • Analyze the reflectional symmetry of the regular polygons. The square has -fold reflectional symmetry. The regular octagon has -
    15·1 answer
  • Estimate and solve 4,624 ÷ 72 = ________. (2 points)<br> 66 r 22<br> 66 r 16<br> 64 r 22<br> 64 r 16
    14·1 answer
  • PLS PLS PLS HELP ME ​
    13·2 answers
  • I need to know the power of 3
    6·2 answers
  • Which table shows a proportional relationship
    9·1 answer
  • If there are 512 relation from a set A = [1,2,3] to a set B, then find number of elements in B ​
    9·1 answer
  • Match each logarithmic equation with its equivalent exponential equation. Drag the tiles to the correct boxes. Not all tiles wil
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!