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
Monica [59]
3 years ago
12

In a random sample of 60 shoppers from a large suburban mall, 36 indicated that they had been to a movie in the past month. In a

n independent random sample of 50 shoppers chosen from the downtown shopping area, 31 indicated that they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown
Mathematics
1 answer:
ZanzabumX [31]3 years ago
7 0

Answer:

There is no enough statistical evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown.

Step-by-step explanation:

We have to perform an hypothesis test on the difference of proportions to see if there is enough evidence to reject the null hypothesis.

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a: \pi_1-\pi_2\neq0

The significance level is assumed to be α=0.05

The suburban sample has  a proportion of

p_1=36/60=0.6

The downtown sample has a proportion of

p_2=31/50=0.62

The average of proportion is:

p=\frac{n_1p_1+n_2p_2}{n_1+n_2}=\frac{60*0.60+50*0.62}{60+50}=\frac{67}{110}=0.61

The standard deviation of the difference of proportions is:

s_{p1-p2}=\sqrt{\frac{p(1-p)}{n_1} +\frac{p(1-p)}{n_2} } =\sqrt{\frac{0.61*0.39}{60} +\frac{0.61*0.39}{50} }\\\\s_{p1-p2}=\sqrt{0.003965+0.004758}=0.0934

Then, we can calculate the value of the statistic z

z=\frac{p_1-p_2}{s}=\frac{0.60-0.62}{0.0934}=\frac{-0.02}{0.0934} =  0.214

The P-value for this z is:

P(|z|>0.214)=0.83054

The P-value is bigger than the significance level, so there is no enough evidence to reject the null hypothesis.

You might be interested in
Enter the numerator that makes the equation true.
Gelneren [198K]

Answer:

1 3/4

Step-by-step explanation:

First write the equation in mixed fraction form as;

1 3/4 + 1 1/3 = 1 _/12 + 1 4/12 ⇒  7/4  + 4/3 = _ + 16/12

7/4  + 4/3 = _ + 16/12

37/12 = _ + 16/12

37/12 - 16/12 = _

= 21/ 12

= 1 9/12

= 1 3/4

6 0
3 years ago
Will mark BRAINLIEST!! — Point H is the circumcenter of triangle DEF. Which must be true? Check ALL that apply. See image.
Margarita [4]

Answer:

A, C, F

Step-by-step explanation:

Definition: The circumcenter is  the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. If point H is the circumcenter of the triangle DEF, then the circumcircle passes through its vertices D, E and F (option A is true).

Option B is false, the circumcircle doesn't pass through the points L, M and N. This option is true for inscribed circle, not for circumcircle.

Option C is true, because HD and HE are the radii of the circumcircle.

Option D is false. This option is true for inscribed circle, not for circumcircle.

Option E is false. This option is true for inscribed circle, not for circumcircle.

Option F is true, because both these angles are right angles.

8 0
3 years ago
Question 1!!! PLEASE HELP
andreev551 [17]
Quickly using a calculator (or long division) reveals that 191/238=<span>0.8025=80.25%, which is close to 80%=4/5
Similarly, 106/160=0.6625=66.25%, which is close to 66.67%=2/3</span>
7 0
3 years ago
-4x+y=24 and -14x+2y=-30. Use the substitution method to determine the solution.
STatiana [176]
The answer is x=13 y=76
6 0
3 years ago
There are no solutions to the system of inequalities shown below.
mixer [17]

Answer:

False, there are actually infinite solutions as these are parallel lines.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Find the commission on a $590.00 sale if the commission is 15%.
    9·2 answers
  • 1<br> Given g(x) = 3x + 3, find g(6).
    12·2 answers
  • Can you help me plss! ​
    14·1 answer
  • 1. (3x2 + 4x - 12) = (x + 5)<br> Divide using synthetic division
    5·1 answer
  • Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?
    9·2 answers
  • Suppose that both the radius r and height h of a circular cone are increasing at a rate of 7 cm/s. How fast is the volume of the
    8·1 answer
  • »<br> Evaluate<br> 4 a + 3 b<br> when a = 3 and b= -1.2<br> 4 (3) + 5 (-1.2)
    9·2 answers
  • -13/5 is between -1 and -2.<br> True<br> False
    14·1 answer
  • Is triangle XYZ = ABC ? If so, name the postulate that applies. A. Congruent - ASA B. Congruent - SAS C. Might not be congruent
    11·1 answer
  • I need hellpppppppppppppppppppppppppppppppppppppppppp
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!