An experimenter flips a coin 100 times and gets 62 heads. We wish to test the...

An experimenter flips a coin 100 times and gets 62 heads. We wish to test the claim that the coin is fair (i.e. a coin is fair if a heads shows up 50% of the time). Test if the coin is fair or unfair at a 0.05 level of significance. Calculate the z test statistic for this study. Enter as a number, round to 2 decimal places.

Solutions

Expert Solution

We have for given example,
Population proportion value is =0.5
x=62

n=100
Level of significance =   0.05
Estimate for sample proportion =0.62

Z test statistic formula for proportion

=2.40

orchestra answered 1 year ago

Next > < Previous

Related Solutions

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.

Bob flips a coin 3 times. Let A be the event that Bob flips Heads on...

Bob flips a coin 3 times. Let A be the event that Bob flips Heads on the first two flips. Let B be the event that Bob flips Tails on the third flip. Let C be the event that Bob flips Heads an odd number of times. Let D be the event that Bob flips Heads at least one time. Let E be the event that Bob flips Tails at least one time. (a) Determine whether A and B are...

2. Bob flips a coin 3 times. Let A be the event that Bob flips Heads...

2. Bob flips a coin 3 times. Let A be the event that Bob flips Heads on the first two flips. Let B be the event that Bob flips Tails on the third flip. Let C be the event that Bob flips Heads an odd number of times. Let D be the event that Bob flips Heads at least one time. Let E be the event that Bob flips Tails at least one time. (a) Determine whether A and B...

Suppose a coin is tossed 100 times and the number of heads are recorded. We want...

Suppose a coin is tossed 100 times and the number of heads are recorded. We want to test whether the coin is fair. Again, a coin is called fair if there is a fifty-fifty chance that the outcome is a head or a tail. We reject the null hypothesis if the number of heads is larger than 55 or smaller than 45. Write your H_0 and H_A in terms of the probability of heads, say p. Find the Type I...

sean tosses a coin 40 times and gets 15 heads while Micah tosses a coin 30...

sean tosses a coin 40 times and gets 15 heads while Micah tosses a coin 30 times and gets 16 heads. Suppose that the outcomes of sean's coin tosses are iid random variable with probability p1 of getting heads on each toss while Micah’s outcomes are also iid with a potentially different probability p2 of getting heads. (1) Calculate the maximum likelihood and method of moments estimators of p1. (2) Show that the MLE of p1 is an MVUE for...

There is a fair coin and a biased coin that flips heads with probability 1/4.You randomly...

There is a fair coin and a biased coin that flips heads with probability 1/4.You randomly pick one of the coins and flip it until you get a heads. Let X be the number of flips you need. Compute E[X] and Var[X]

Given that in 4 flips of a fair coin there are at least two "heads", what...

Given that in 4 flips of a fair coin there are at least two "heads", what is the probability that there are two "tails"? There are ten equally likely outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. You randomly select one value, call it the initial value. Then, you continue to randomly select values, call them follow-up selections, until you come up with the initial value. What is the fewest number of follow-up selections that insures that...

A coin is tossed 1000 times and 540 heads appear. At ΅= 0.05, test the claim...

A coin is tossed 1000 times and 540 heads appear. At ΅= 0.05, test the claim that this is nota biased coin.

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 fair coin is flipped six times. The outcomes of the coin flips form a palindrome...

A fair coin is flipped six times. The outcomes of the coin flips form a palindrome if the sequence of T’s and H’s reads the same forwards and backwards, e.g. THTTHT. Let A denote the event that the first, second and fourth flips are all ‘T’. Let Z denote the event that the six flips form a palindrome. (a) Is A independent of Z? (b) Is A independent of Z? (c) A fair coin flipped six times and a certain...

Subjects