an experimenter flips a coin 100 times and gets 54 heads. Test the claim that the...

Question

Question

an experimenter flips a coin 100 times and gets 54 heads. Test the claim that the coin is fair against the two-sided alternative.

Answer 1

Answer #1

Given that coin is flips 100 times and gets 54 heads.

x = 54 and n = 100

we have to test,

verses

Under Ho test statistic is,

So,

So test statistic is Z = 0.8

p-value is given by,

P-value = 2*P(Z >0.8) = 2*0.21 =0.42

So p-vlaue = 0.42 > 0.05 so do not reject null hypothesis

So We conclude that The coin is fair .

Add a comment

Answer 2

Similar Homework Help Questions

An experimenter flips a coin 100 times and gets 44 heads. Test the claim that the...

An experimenter flips a coin 100 times and gets 44 heads. Test the claim that the coin is fair against the two-sided claim that it is not fair at the level α=.01
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.
Question 9 An experimenter flips a coin 100 times and gets 58 heads. Test the claim...

Question 9 An experimenter flips a coin 100 times and gets 58 heads. Test the claim that the coin is fair against the two-sided claim that it is not fair at the level a=.01. a) O H.:p= .5, Ha:p> .5; = = 1.62; Fail to reject H, at the 1% significance level. b) O Ho: p= .5, Ha:p #.5; == 1.60; Fail to reject H, at the 1% significance level. c) O H.:p= .5, H.:P > .5; == 1.60; Reject...

An experimenter flips a coin 100 times and gets 52 heads. Find the 89% confidence interval...

An experimenter flips a coin 100 times and gets 52 heads. Find the 89% confidence interval for the probability of flipping a head with this coin. a) [0.440, 0.600] b) [0.440, 0.400] c) [0.490, 0.495] d) [0.340, 0.550] e) [0.360, 0.600]
If someone flips a coin 100 times and gets heads 54 times and tails 46 times...

If someone flips a coin 100 times and gets heads 54 times and tails 46 times what is the experimental probability for that scenario and what is the experimental probability for not achieving that scenario? Please show detailed, step by step work.
Tegan is trying to decide if a coin is fair. She flips it 100 times...

Tegan is trying to decide if a coin is fair. She flips it 100 times and gets 63 heads. Please explain why it might make sense to view 63 heads as enough evidence to conclude the coin is unfair.

Leela is trying to decide if a coin is fair. She flips it 100 times and...

Leela is trying to decide if a coin is fair. She flips it 100 times and gets 63 heads. Please explain why it might NOT make sense to view 63 heads as enough evidence to conclude the coin is unfair.
Polly is testing a coin to see if it is fair. She flips it 100 times...

Polly is testing a coin to see if it is fair. She flips it 100 times and gets 50 heads. What should her conclusion be?
You flip a coin 100 times. Let X= the number of heads in 100 flips. Assume...

You flip a coin 100 times. Let X= the number of heads in 100 flips. Assume we don’t know the probability, p, the coin lands on heads (we don’t know its a fair coin). So, let Y be distributed uniformly on the interval [0,1]. Assume the value of Y = the probability that the coin lands on heads. So, we are given Y is uniformly distributed on [0,1] and X given Y=p is binomially distributed on (100,p). Find E(X) and...

You flip the same coin 90 mores times (100 total flips). If half of the 90...

You flip the same coin 90 mores times (100 total flips). If half of the 90 additional flips are heads (45 heads) and half are tails (45 tails), what is the empirical probability of getting a heads for this coin? (So there are the original 10 heads plus an additional 45 heads for a total of 55 heads in 100 flips) (You can give the answer as either a decimal or percent. Give the answer to two decimal places.)