Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer:
We reject H₀, we have enough evidence to support the claim that the porcentage of residents who favor construction is over 35%
Step-by-step explanation:
Sample size n = 1300
Sample proportion p = 38 % = 0,38 then q = 62% q = 0,62
The size of the sample is enough to consider the binomial distribution can approximate to normal distribution
p*n = 1300*0,38 q*n = 1300*0,62
p*n > 10 q*n> 10
Population proportion 35% p₀ = 35 % p₀ = 0,35
Hypothesis Test :
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Ha p > p₀
The hypothesis test is a one-tail test to the right
Significance Level α = 0,05 we go to z-table and find z(c)
z(c) = 1,64
To calculate z(s)
z(s) = ( p - p₀ ) / √ p*q/ n
z(s) = 0,38 - 0,35 / √ ( 0,38 * 0,62) / 1300
z(s) = 0,03 / 0,013
z(s) = 2,307
Comparing z(c) and z(s)
z(s) > z(c) 2,307 > 1,64
z(s) is in the rejection region for H₀, we must reject H₀
We have enough evidence to support the claim
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
