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
Mice21 [21]
3 years ago
7

Find the value of the test statistic z using . The claim is that the proportion of adults who smoked a cigarette in the past wee

k is less than ​, and the sample statistics include n subjects with saying that they smoked a cigarette in the past week.
Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Correct question is;

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include n = 1168 subjects with 385 saying that they smoked a cigarette in the past week. Find the value of the test statistic

Answer:

Test statistic is z = -1.46

Step-by-step explanation:

Let's first of all define the hypotheses:

Null hypothesis:

H0: p = 0.35, i.e 35% in the sample of 1,168 adults have smoked cigarettes in the previous week.

Alternative hypothesis:

Ha: p < 0.35, i.e less than 35% in the sample of 1,168 adults have smoked cigarette in the previous week.

The sample size is, n = 1,168 while the number of adults who smoked in the previous week would be; x = 385

Therefore, the sample proportion of adults who smoked in the previous week would be calculated as;

p^ = x/n = 385/1168 ≈ 0.3296

Now, from Central Limit Theorem for large samples, The sampling distribution of the sample proportion p^, will have a mean of μ = p = 0.35

Formula for standard deviation is;

σ = √[p (1 – p)/n]

σ = √(0.35 × (1 – 0.35)/1168)

σ = √0.0001947774

σ = 0.014

Formula for test statistic is;

z = (p^ - p)/σ

z = (0.3296 - 0.35)/0.014

z = - 1.46

You might be interested in
Use this CAS to divide (6x3+3x−5)3 by 3x3+2.
Oksanka [162]

Answer:

Remainder : 3x-9

The leading coefficient of the remainder is 3

Step-by-step explanation:

3 0
3 years ago
Find the number of sides of a regular polygon with each interior angle equal to 157.5°. The regular polygon has sides.
yawa3891 [41]
The interior angle plus the exterior angle totals to 180 so you would take 180 and subtract 157.5 and get 22.5
next you would take 360 for the total of degrees that he external angles totals up to.
so 360 divided by 22.5 equals the number of sides you shape has and that would be 16 sides.
7 0
3 years ago
Grant and seventh grade students to name their favorite flavor of ice cream. He won that three out of every eight students prefe
Vesna [10]
It would be 105 students because you would divide the 280 students into 8 and then get 35, then multiply that by 3 representing the 3/8s of the students
4 0
3 years ago
If f(x) =7 +4x and g(x) =1/2 what is the value of (f/g)
saw5 [17]

Answer:

10.8

Step-by-step explanation:

To find (f/g)(5), find f(5) and (g5) then divide the values.

f(5) = 7 + 4(5) = 27

g(5) = 1/2 (5) = 2.5

27/2.5 = 10.8

6 0
3 years ago
Use cubes. color and draw to show a way to take apart 7.
Ray Of Light [21]
What do you mean
give details
then i could help you




7 0
3 years ago
Other questions:
  • Mimi bought some fabric for a sewing project. The fabric cost $15.40 per meter. She bought 250 centimeters of fabric. How much d
    12·1 answer
  • HELP ME PLEAAASEE GUYS
    12·1 answer
  • What is equivalent to 7/8+9/15
    13·1 answer
  • Prove the following limit. lim x → 5 3x − 8 = 7 SOLUTION 1. Preliminary analysis of the problem (guessing a value for δ). Let ε
    13·1 answer
  • Sherrod's cat weighs 6 3/5. what is the weight of Sherrod's cat written as a decimal?
    14·1 answer
  • What is the range of the function shown in this table?
    8·1 answer
  • Sleep apnea: Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must w up
    5·2 answers
  • HELP me on 14 please :)
    12·1 answer
  • A $3,200.00 principal earns 7% interest, compounded annually. After 3 years, what is the balance in the account? Round to the ne
    12·1 answer
  • NO LINKS!!! This is NOT MULTIPLE CHOICE!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!