STAT 2332 #1. A coin is tossed 1000 times, it lands heads 516 heads, is the...

STAT 2332

#1. A coin is tossed 1000 times, it lands heads 516 heads, is the coin fair?

(a) Set up null and alternative hypotheses (two tailed).

(b) Compute z and p.

#2. A coin is tossed 10,000 times, it lands heads 5160 heads, is the coin fair?

(a) Set up null and alternative hypotheses (two tailed).

(b) Compute z and p.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A coin that lands on heads with a probability of p is tossed multiple times. Each...

A coin that lands on heads with a probability of p is tossed multiple times. Each toss is independent. X is the number of heads in the first m tosses and Y is the number of heads in the first n tosses. m and n are fixed integers where 0 < m < n. Find the joint distribution of X and Y.

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.

Suppose that you tossed a coin 1000 times in which 560 of the tosses were heads...

Suppose that you tossed a coin 1000 times in which 560 of the tosses were heads while 440 were tails. Can we reasonably say that the coin is fair? Justify your answer. Hint: use the concept of p-values. To evaluate the resulting probability, use an approximation by way of the CLT. Why does this offer a good approximation? Use a z-table or R to evaluate the N(0,1) cdf.

A coin is tossed 400 times, landing heads up 219 times. Is the coin fair?

a) A coin is tossed 4 times. Let X be the number of Heads on the...

a) A coin is tossed 4 times. Let X be the number of Heads on the first 3 tosses and Y be the number of Heads on the last three tossed. Find the joint probabilities pij = P(X = i, Y = j) for all relevant i and j. Find the marginal probabilities pi+ and p+j for all relevant i and j. b) Find the value of A that would make the function Af(x, y) a PDF. Where f(x, y)...

If a fair coin is tossed 25 times, the probability distribution for the number of heads,...

If a fair coin is tossed 25 times, the probability distribution for the number of heads, X, is given below. Find the mean and the standard deviation of the probability distribution using Excel Enter the mean and round the standard deviation to two decimal places. x P(x) 0 0 1 0 2 0 3 0.0001 4 0.0004 5 0.0016 6 0.0053 7 0.0143 8 0.0322 9 0.0609 10 0.0974 11 0.1328 12 0.155 13 0.155 14 0.1328 15 0.0974 16 ...

A fair coin is tossed r times. Let Y be the number of heads in these...

A fair coin is tossed r times. Let Y be the number of heads in these r tosses. Assuming Y=y, we generate a Poisson random variable X with mean y. Find the variance of X. (Answer should be based on r).

A coin is tossed 6 times. Let X be the number of Heads in the resulting...

A coin is tossed 6 times. Let X be the number of Heads in the resulting combination. Calculate the second moment of X. (A).Calculate the second moment of X (B). Find Var(X)

A coin is tossed three times. X is the random variable for the number of heads...

A coin is tossed three times. X is the random variable for the number of heads occurring. a) Construct the probability distribution for the random variable X, the number of head occurring. b) Find P(x2). c) Find P(x1). d) Find the mean and the standard deviation of the probability distribution for the random variable X, the number of heads occurring.

1. A (maybe unfair) coin is tossed 100 times and 40 heads are obtained. At significance...

1. A (maybe unfair) coin is tossed 100 times and 40 heads are obtained. At significance level α= 10%, do you think that the coin is fair? Use large-sample test for hypothesis testing.

Subjects