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updated: Recently, two students made headlines by spinning a certain type of coi

ID: 3253333 • Letter: U

Question

updated:

Recently, two students made headlines by spinning a certain type of coin

250

times and getting

140

headslong dash—that's

56%.

That makes the

95%

confidence interval

(50%,62%).

What does this mean? Are the conclusions in parts a through e correct? Explain your answers

When they send out their fundraising letter, a philanthropic organization typically gets a return from about 5% of the people on their mailing list. To see what the response rate might be for future appeals, they did a simulation using samples of size 20, 50, 100, and 200. For each sample size, they simulated 1000 mailings with success rate

pequals=0.05 and constructed the histogram of the 1000 sample proportions, shown in the accompanying link. Explain what these histograms say about the sampling distribution model for sample proportions. Be sure to talk about shape, center, and spread.

c) We are 95% sure that spun coins of this type will and heads between 50% and 62% of the time. Choose the corect answer below. O A. This statement is correct. O B. This statement is not correct. All random samples of spins will show that 50% to 62% of spins land on heads O C. This statement is not correct. A confidence interval says something about the unknown population proportion, not the sample proportion in different samples. all random samples of spins will show that 56% of spins land on heads O D. This statement is not correct. 95% of d) If you spin a coin of this type many times, you can be 95% sure of getting between 50% and 62% heads Choose the correct answer below. O A. This statement is correct. O B. This statement is not correct. We are 95% sure that 56% of the spins in this sample landed on heads O C. This statement is not correct. We are 95% sure that between 50% and 62% of spins in all samples wi and on heads. O D. This statement is not correct. The interval should be about the proportion of heads, not about individual spins. e) 95% of all spun coins of this type will and heads between 50% and 62% of the time. Choose the correct answer below. O A. This statement is correct. O B. This statement is not correct. Every day, between 50% and 62% of the spins will and on heads. O C. This statement is not correct. On 95% of the coins, 56% of the spins will land on heads O D. This statement is not correct. The interval should be about the proportion of heads, not about the percentage of coins

Explanation / Answer

Que C

A)the statement is correct

Que. D

C)this statement is not correct. We are 95% sure that between 50% & 62%of spins in all samples will land on heads

Que-e

A) statement is correct.