Question

A random-number generator is supposed to produce a sequence of 0s and 1s with each value...

A random-number generator is supposed to produce a sequence of 0s and 1s with each value being equally likely to be a 0 or a 1and with all values being independent. In an examination of the random-number generator, a sequence of 50,000 values is obtained of which 25,264 are 0s.

Formulate a set of hypotheses to test whether there is any evidence that the random-number generator is producing 0s with probability 0.5. Please find the test statistic.

2.354

2.365

2.356

2.361

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A pseudo-random number generator is a mathematical function that produces a sequence of numbers that is...
A pseudo-random number generator is a mathematical function that produces a sequence of numbers that is supposed to appear to be random (which implies uniformly distributed) and is used in simulation. If the generator produces real numbers over the interval from 0.5 to 5.0, what is the probability that a value is between 2.6 and 2.9?
A random number generator is supposed to produce random numbers that are uniformly distributed on the...
A random number generator is supposed to produce random numbers that are uniformly distributed on the interval from 0 to 1. If this is true, the numbers generated come from a population with μμ = 0.5 and σσ = 0.2887. A command to generate 169 random numbers gives outcomes with mean x¯¯¯x¯ = 0.4366. Assume that the population σσ remains fixed. We want to test H0:μ=0.5 Ha:μ≠0.5 (a) Calculate the value of the Z test statistic. (b) Use Table C:...
A random number generator in an ESP experiment is supposed to produce digits one through five...
A random number generator in an ESP experiment is supposed to produce digits one through five with equal frequency. In 900 trials, the results were 170 ones, 210 twos, 163 threes, 175 fours and 182 fives. The researcher wishes to run a statistical test.
A computer random number generator was used to generate 550 random digits (0,1,...,9). The observed frequences...
A computer random number generator was used to generate 550 random digits (0,1,...,9). The observed frequences of the digits are given in the table below. 0 1 2 3 4 5 6 7 8 9 58 55 45 50 53 50 57 57 46 79 Test the claim that all the outcomes are equally likely using the significance level ?=0.05?=0.05. The expected frequency of each outcome is E=E=   The test statistic is ?2=?2=   The p-value is   Is there sufficient evidence...
Question (2) [5 marks] (Use R) Suppose you have a company producing cupcakes. Each cupcake is...
Question (2) [5 marks] (Use R) Suppose you have a company producing cupcakes. Each cupcake is supposed to contain 10 grams of sugar. The cupcakes are produced by a machine that adds the sugar in a bowl before mixing everything. You believe the machine does not add 10 grams of sugar for each cupcake. If your assumption is true, the machine needs to be fixed. You stored the level of sugar of thirty cupcakes. Note: You can create a randomized...