marialuizavalen
11.06.2020 •
Mathematics
A gas company president for a particular city is interested in the proportion of homes heated by gas. Historically, the proportion of homes heated by gas has been 0.72. A sample of 75 homes was selected and it was found that 45 of them heat with gas. Perform the appropriate test of hypothesis, at level .05, to determine whether the proportion of home heated by gas has changed. Group of answer choices
Solved
Show answers
More tips
- A Auto and Moto What to expect from the new VW Golf 7?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- S Style and Beauty How to Get Rid of Peeling Nails: Natural Remedies...
- S Science and Technology Understanding Magnetic Storms: A Guide to This Natural Phenomenon...
- F Family and Home What is Most Important in Men s Lives?...
- G Goods and services Which TV is better - LCD or Plasma?...
- C Computers and Internet Are there special gaming mice?...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
Answers on questions: Mathematics
- M Mathematics An interior angle of a regular polygon has a measure of 108. What type of a polygon is it?...
- M Mathematics ESI Topic: Dividing Fractions and Mixed Numbers Progress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending...
- M Mathematics Y = x if x 0,22 if 0 x 5 tal...
- M Mathematics Write the equation of a line parallel to y=2x+7 that passes through the point (-4, 5)...
- H Health What makes up the organization s mission, policies, procedures, and also forms a hierarchy that dictates the purpose of the organization...
- M Mathematics What is improper sampling in statistical analysis and how can i use it in day-to-day life...
Ответ:
p-value (0.0208) is less than alpha = 0.05 reject H0.
Step-by-step explanation:
we have the following data:
sample size = n = 75
x, the number to evaluate is 45
the sample proportion would be: x / n = 45/75
p * = 0.6
Now, the null and alternative hypotheses are:
H0: P = 0.72
Ha: P no 72
two tailed test
statistic tes = z = (p * - p) / [(p * (1-p) / n)] ^ (1/2)
replacing we have:
z = (0.6 - 0.72) / [(0.72 * (1-0.72) / 75)] ^ (1/2)
z = -2.31
p-vaule = 2 * p (z <-2.31)
using z table, we get:
p-vaule = 2 * (0.0104)
p-vaule = 0.0208
Therefore, p-value (0.0208) is less than alpha = 0.05 reject H0.
Ответ:
-5
hope this helps