Question

In: Statistics and Probability

Q7: (About Interval Estimation: 2 marks) A coin is flipped 100 times, and 42 heads are...

Q7: (About Interval Estimation: 2 marks) A coin is flipped 100 times, and 42 heads are observed. Find a 99% confidence interval of π (the true population proportion of getting heads) and draw a conclusion based on the collected data. Hint: Choose the best one. (0.274, 0.536) a 99% confidence interval of π and we conclude it is a fair coin. (0.293, 0.547) a 99% confidence interval of π and we conclude it is a fair coin. (0.304, 0.496) a 99% confidence interval of π and we conclude it is a fair coin. (0.324, 0.486) a 99% confidence interval of π and we conclude it is a fair coin. (0.433, 0.509) a 99% confidence interval of π and we conclude it is a fair coin. (0.274, 0.536) a 99% confidence interval of π and we conclude it is not a fair coin. (0.293, 0.547) a 99% confidence interval of π and we conclude it is not a fair coin. (0.304, 0.496) a 99% confidence interval of π and we conclude it is not a fair coin. (0.324, 0.486) a 99% confidence interval of π and we conclude it is not a fair coin. (0.433, 0.509) a 99% confidence interval of π and we conclude it is not a fair coin.

Q8: (This continues Q7: 2 marks) Find the P-Value of the test. Ha: π =1/2. Vs. Ha: π ≠1/2. Less than 1%. Between 1% and 2% Between 2% and 3% Between 3% and 5% Between 5% and 8%

Between 8% and 10%
Between 10% and 12%
Between 12% and 15%
Between 15% and 20%
Bigger than 20%.

Solutions

Expert Solution

given data are:-

sample size (n) = 100

sample proportion () = 42/100 = 0.42

7).z critical value for 99% confidence level, both tailed test be:-

the 99% confidence interval for the population proportion be:-

the correct option is:-

(0.293, 0.547) a 99% confidence interval of π and we conclude it is a fair coin

[ as 0.5 is contained in the interval we fail to reject the null hypothesis p =0.5 ]

8). the test statistic be:-

p value :-

[as this is a both tailed test]

[ using standard normal table]

the correct option is:-

the p value of the test is Between 10% and 12%

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible...

orchestra answered 11 months ago

Next > < Previous

Related Solutions

A coin is flipped 100 times, and 42 heads are observed. Find a 99% confidence interval...

A coin is flipped 100 times, and 42 heads are observed. Find a 99% confidence interval of π (the true population proportion of getting heads) and draw a conclusion based on the collected data. Hint: Choose the best one. A) (0.274, 0.536) a 99% confidence interval of π and we conclude it is a fair coin. B) (0.293, 0.547) a 99% confidence interval of π and we conclude it is a fair coin. C) (0.304, 0.496) a 99% confidence interval...

If a heads is flipped, then the coin is flipped 4 more times and the number...

If a heads is flipped, then the coin is flipped 4 more times and the number of heads flipped is noted; otherwise (i.e., a tails is flipped on the initial flip), then the coin is flipped 3 more times and the result of each flip (i.e., heads or tails) is noted successively. How many possible outcomes are in the sample space of this experiment?

An experimenter flips a coin 100 times and gets 42 heads. Find the 90% confidence interval...

An experimenter flips a coin 100 times and gets 42 heads. Find the 90% confidence interval for the probability of flipping a head with this coin.

14. A coin is flipped 100 times, and 59 heads are observed. Find a 80% confidence...

14. A coin is flipped 100 times, and 59 heads are observed. Find a 80% confidence interval of π (the true population proportion of getting heads) and draw a conclusion based on the collected data. Find the P-Value of the test. Ha: π =1/2. Vs. Ha: π ≠1/2. A) Less than 1%. B) Between 1% and 2% C) Between 2% and 3% D) Between 3% and 4% E) Between 4% and 5% F) Between 5% and 7% G) Between 7%...

A coin is flipped 34 times and heads is observed 22 times. Assuming this proportion is...

A coin is flipped 34 times and heads is observed 22 times. Assuming this proportion is normal for this particular coin, if the coin is flipped 50 times, what is the probability that heads is observed at least 25 times? The probability is: (Round to 4 decimal places)

A coin was flipped 60 times and came up heads 38 times. At the .10 level...

A coin was flipped 60 times and came up heads 38 times. At the .10 level of significance, is the coin biased toward heads? (a-1) H0: ππ ≤ .50 versus H1: ππ > .50. Choose the appropriate decision rule at the .10 level of significance. Reject H0 if z > 1.282 Reject H0 if z < 1.282 (a-2) Calculate the test statistic.

A coin was flipped 72 times and came up heads 44 times. At the .10 level...

A coin was flipped 72 times and came up heads 44 times. At the .10 level of significance, is the coin biased toward heads? (a-2) Calculate the Test statistic. (Carry out all intermediate calculations to at least four decimal places. Round your answer to 3 decimal places.) Test statistic

a coin, assumed to be fair, is flipped thirty six times. Five heads are observed. An...

a coin, assumed to be fair, is flipped thirty six times. Five heads are observed. An approximate 95 percent confidence interval for this number of heads can be constructed, to two decimal places, as: a(-1.09,11.09) b(0.00,10.88) c(0.07,9.95) d(-0.88,10.88) e(12.12,23.88)

A coin is flipped 80 times, and this results in 36 “Heads”. Set up a test...

A coin is flipped 80 times, and this results in 36 “Heads”. Set up a test to determine whether the coin is fair

A coin is flipped seven times. What is the probability of getting heads six or fewer...

A coin is flipped seven times. What is the probability of getting heads six or fewer times? I know how to solve this with the probability equation. 2x2x2x2x2x2x2=128 total outcomes Which is p1+p2=1 -> p1=1-p2-=1-1/128= 127/128 is the answer. But whenever I try to solve it with the permutation formula I get a wrong answer n!/ k!(n!-k!) = 7!/6!(7!-6!) = 7 7/128 where am I wrong? can someone explain to me what am I doing wrong?

Subjects