Suppose you were performing a test to determine the average number of hours kids (12 - 14)spend on their phones. Your hypothesis is that they spend more time that they used to in 2010 when the average number of hours was 4 hours per day. Your hypotheses statement would be as follows:

H0: μ=4

H1: μ>4 (Claim)

After collecting your data you have concluded that you will reject the claim.

State the final conclusion for this test addressing the claim.
in Statistics Answers by Level 1 User (140 points)

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The null hypothesis is that μ=4. The alternative hypothesis (the claim) is that μ>4. The test is to see if the statistical evidence is sufficient to accept or reject the null hypothesis. If the test fails to reject the null hypothesis, the alternative hypothesis cannot be accepted within the degree of certainty imposed on the test. The degree of certainty, the confidence level, is often set in advance to 95% (fairly certain), which corresponds to a significance level of 5%. The test statistic in this case is the mean, and we use the difference between the sample mean and the currently accepted mean μ. In this case, we use the 1-tailed t-test (tables or calculator), because we are only considering probability higher than μ, and degrees of freedom=n-1 (where n is the sample size). If the sample size is large the normal distribution and the Z-test applies, and the critical value from the t-test table/calculator or from the normal distribution table/calculator is found by plugging in the deviation from the accepted mean as a multiple of the standard deviation. If the sample mean is not more extreme than this critical value (that is, isn't bigger than the mean by more than the critical value) the null hypothesis cannot be rejected; but if it is more extreme, the null hypothesis is rejected, and the conclusion is that the claim is probably true, within the set confidence level.

by Top Rated User (1.1m points)

Related questions

1 answer
1 answer
2 answers
1 answer
1 answer
asked Aug 17, 2020 in Statistics Answers by anonymous | 825 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular tags

algebra problems solving equations word problems calculating percentages math problem geometry problems calculus problems math fraction problems trigonometry problems rounding numbers simplifying expressions solve for x order of operations probability algebra pre algebra problems word problem evaluate the expression slope intercept form statistics problems factoring polynomials solving inequalities 6th grade math how to find y intercept equation of a line sequences and series algebra 2 problems logarithmic equations solving systems of equations by substitution dividing fractions greatest common factor square roots geometric shapes graphing linear equations long division solving systems of equations least to greatest dividing decimals substitution method proving trigonometric identities least common multiple factoring polynomials ratio and proportion trig identity precalculus problems standard form of an equation solving equations with fractions http: mathhomeworkanswers.org ask# function of x calculus slope of a line through 2 points algebraic expressions solving equations with variables on both sides college algebra domain of a function solving systems of equations by elimination differential equation algebra word problems distributive property solving quadratic equations perimeter of a rectangle trinomial factoring factors of a number fraction word problems slope of a line limit of a function greater than or less than geometry division fractions how to find x intercept differentiation exponents 8th grade math simplifying fractions geometry 10th grade equivalent fractions inverse function area of a triangle elimination method story problems standard deviation integral ratios simplify systems of equations containing three variables width of a rectangle percentages area of a circle circumference of a circle place value solving triangles parallel lines mathematical proofs solving linear equations 5th grade math mixed numbers to improper fractions scientific notation problems quadratic functions number of sides of a polygon length of a rectangle statistics zeros of a function prime factorization percents algebra 1 evaluating functions derivative of a function equation area of a rectangle lowest common denominator solving systems of equations by graphing integers algebra 2 diameter of a circle dividing polynomials vertex of a parabola calculus problem perpendicular lines combining like terms complex numbers geometry word problems converting fractions to decimals finding the nth term range of a function 4th grade math greatest to least ordered pairs functions radius of a circle least common denominator slope unit conversion solve for y calculators solving radical equations calculate distance between two points area word problems equation of a tangent line multiplying fractions chemistry binomial expansion place values absolute value round to the nearest tenth common denominator sets set builder notation please help me to answer this step by step significant figures simplifying radicals arithmetic sequences median age problem trigonometry graphing derivatives number patterns adding fractions radicals midpoint of a line roots of polynomials product of two consecutive numbers limits decimals compound interest please help pre-algebra problems divisibility rules graphing functions subtracting fractions angles numbers discrete mathematics volume of a cylinder simultaneous equations integration probability of an event comparing decimals factor by grouping vectors percentage expanded forms rational irrational numbers improper fractions to mixed numbers algebra1 matrices logarithms how to complete the square mean statistics problem analytic geometry geometry problem rounding decimals 5th grade math problems solving equations with variables solving quadratic equations by completing the square simplifying trigonometric equation using identities
87,441 questions
99,040 answers
2,422 comments
16,939 users