Cost of Health Care ~ Have you or a member of your immediate family put off medical treatment due to cost during the past year? In 2016, a survey asked 967 randomly selected American adults this question and 184 said yes. In 2019, another survey asked the same question to 1015 randomly selected American adults and 253 said yes. We want to determine if there is a difference between the proportion of Year 2016 American adults and Year 2019 American adults, who put off medical treatment due to cost.

The correct answers are

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

Step-by-step explanation:

Hello!

You have two variables of interest:

X₁: Number of that had to put off medical treatment due to cost during 2016.

n₁= 967 people surveyed

x₁= 184 answered "yes"

sample proportion p'₁= 184/967= 0.19

X₂: Number of that had to put off medical treatment due to cost during 2019.

n₂= 1015 people surveyed

x₂= 253 answered "yes"

p'₂= 253/1015= 0.25

The pooled sample proportion is

To study the population proportion you have to apply the Central Limit Theorem to approximate the distribution of the sample proportion to normal, the conditions for a valid approximation are:

Sample size n ≥ 30

n₁= 967

n₂= 1015

n*p'≥10 (each sample contains at least 10 successes)

n₁*p'₁= 967*0.19= 183.73

n₂*p'₂= 1015*0.25= 253.75

n*(1-p')≥10 (each sample contains at least 10 failures)

n₁*(1-p'₁)= 967*0.81= 783.27

n₂*(1-p'₂)= 1015*0.75= 761.25

The correct answers are

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

I hope it helps!

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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