Use the following data to do a test of independence to see if dexterity isindependent of gender. Use a = 0.05 left-handed right-handed male 17 83 female 16 184 (a) Write down the null and alternative hypotheses.(b) Determine the test statistic and the p-value.(c) Draw a sketch of the distribution curve indicating the test statistic and the p-value.(d) Write down the conclusion of the test at the a = 0.05 level of significance.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Use the following data to do a test of independence to see if dexterity is
independent of gender. Use a = 0.05
| left-handed | right-handed | |
| male | 17 | 83 |
| female | 16 | 184 |
(a) Write down the null and alternative hypotheses.
(b) Determine the test statistic and the p-value.
(c) Draw a sketch of the distribution curve indicating the test statistic and the p-value.
(d) Write down the conclusion of the test at the a = 0.05 level of significance.
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