Question

Someone flipped a coin 250 times, and got heads 140 times. Let’s test a hypothesis about...

Someone flipped a coin 250 times, and got heads 140 times. Let’s test a hypothesis about the fairness of this coin.

  1. Estimate the true proportion of heads. Use a 95% confidence interval.
  2. Does your confidence interval provide evidence that the coin is unfair? Explain.

What is the significance level of this test? Explain.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
I flipped a coin 49 times and got heads only 18 times. I feel like the...
I flipped a coin 49 times and got heads only 18 times. I feel like the coin is biased. I run a 1 sample z test proportion with the null hypothesis set to .5 (50%) to represent a fair coin. What's the p-value of the test? Would you reject the null hypothesis or fail to reject the null hypothesis?
Q13: A coin is flipped 100 times, and 59 heads are observed. Find a 80% confidence...
Q13: 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. Hint: Choose the best one. please answer in the same format as these examples below A) (0.471, 0.596) a 80% confidence interval of π and we conclude it is a fair coin. or H) (0.633, 0.692) a 80% confidence interval of π and we conclude...
Suppose a coin is randomly tossed n = 400 times, resulting in X = 240 Heads....
Suppose a coin is randomly tossed n = 400 times, resulting in X = 240 Heads. Answer each of the following; show all work! (a) Calculate the point estimate, and the corresponding two-sided 95% confidence interval, for the true probability pi = P(Heads), based on this sample. (b) Calculate the two-sided 95% acceptance region for the null hypothesis H0: pi = 0.5 that the coin is fair. (c) Calculate the two-sided p-value (without correction term) of this sample, under the...
A coin is tossed 10 times to test the hypothesis (?0) that the probability of heads...
A coin is tossed 10 times to test the hypothesis (?0) that the probability of heads is ½ versus the alternative that the probability is not ½. A test is defined by: reject ?0 if either 0 or 10 heads are observed. a. What is the significance level of the test? b. If in fact the probability of heads is 0.1, what is the power, (1 − ?), of the test?
If you flip a fair coin, the probability that the result is heads will be 0.50....
If you flip a fair coin, the probability that the result is heads will be 0.50. A given coin is tested for fairness using a hypothesis test of H0:p=0.50H0:p=0.50 versus HA:p≠0.50HA:p≠0.50. The given coin is flipped 240 times, and comes up heads 143 times. Assume this can be treated as a Simple Random Sample. The test statistic for this sample is z= The P-value for this sample is If we change the significance level of a hypothesis test from 5%...
A coin is tossed 54 times and 39 heads are observed. Would we infer that this...
A coin is tossed 54 times and 39 heads are observed. Would we infer that this is a fair coin? Use a 97% level confidence interval to base your inference. The sample statistic for the proportion of heads is:  (3 decimals) The standard error in this estimate is:  (3 decimals) The correct z* value for a 97% level confidence interval is:  (3 decimals) The lower limit of the confidence interval is:  (3 decimals) The upper limit of the confidence interval is:  (3 decimals) Based on...
A coin is tossed 73 times and 30 heads are observed. Would we infer that this...
A coin is tossed 73 times and 30 heads are observed. Would we infer that this is a fair coin? Use a 97% level confidence interval to base your inference. The sample statistic for the proportion of heads is:  (3 decimals) The standard error in this estimate is:  (3 decimals) The correct z* value for a 97% level confidence interval is:  (3 decimals) The lower limit of the confidence interval is:  (3 decimals) The upper limit of the confidence interval is:  (3 decimals) Based on...
An experimenter flips a coin 100 times and gets 32 heads. Test the claim that the...
An experimenter flips a coin 100 times and gets 32 heads. Test the claim that the coin is fair against the two-sided claim that it is not fair at the level α=.01. a) Ho: p = .5, Ha: p ≠ .5; z = -3.60; Reject Ho at the 1% significance level. b) Ho: p = .5, Ha: p < .5; z = -3.86; Reject Ho at the 1% significance level. c) Ho: p = .5, Ha: p ≠ .5; z...
We perform a hypothesis test to test a statement about the population, and determine whether that...
We perform a hypothesis test to test a statement about the population, and determine whether that population does or does not support the sample information test a statement about a sample statistic develop a confidence interval for a population parameter test a statement about a population parameter, and determine whether the sample evidence supports that statement as a chosen level of significance.
Part 1 Hypothesis Test and Confidence Interval from 1 sample Test ONE claim about a population...
Part 1 Hypothesis Test and Confidence Interval from 1 sample Test ONE claim about a population parameter by collecting your own data or using our class survey data. Include your written claim, hypothesis in both symbolic and written form, relevant statistics (such as sample means, proportions etc.), test statistic, p-value (or critical value), conclusion, and interpretation of your conclusion in the context of your claim. Use a 0.05 significance level. You will also construct a 95% confidence interval estimate of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT