In a survey of 23312331 adults, 730730 say they believe in ufos. construct a 99 %99% confidence interval for the population proportion of adults who believe in ufos. a % confidence interval for the population proportion is (nothing, nothing). (round to three decimal places as needed.) interpret your results. choose the correct answer below. a. with % probability, the population proportion of adults who do not believe in ufos is between the endpoints of the given confidence interval. b. the endpoints of the given confidence interval shows that % of adults believe in ufos. c. with % confidence, it can be said that the sample proportion of adults who believe in ufos is between the endpoints of the given confidence interval. d. with % confidence, it can be said that the population proportion of adults who believe in ufos is between the endpoints of the given confidence interval.

0.288 < p < 0.338

Step-by-step explanation:

We have 2331 adults polled and 730 said they believe in UFOs.  We are to construct a 99% confidence interval for the population proportion.  We are told to round to 3 decimal places as needed.  

We need to find p-hat and q-hat

p-hat = 730/2331 = 0.313

q-hat = 1 - p-hat = 1 - 0.313 = 0.687

Since the sample size is greater than 30, we use a z-value for 99% confidence, which is 2.575

See attached photo for the construction of the confidence interval

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

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