Are the following statements true or false (a) In

Chapter 8, Problem 8.6.19

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Are the following statements true or false? (a) In hypothesis testing the null hypothesis can never be proved to be correct. (b) For a given data set a two-sided condence interval for a parameter with a condence level 99% is shorter than a two-sided condence interval for the parameter with a condence level 95%. (c) A statistical proof that a statement is true is achieved when the null hypothesis that the statement is false is rejected. (d) A hypothesis test addresses the question of whether or not there is sufcient evidence to establish that the null hypothesis is false. (e) A p-value between 1% and 10% should be interpreted as implying that there is some evidence that the null hypothesis is false, but that the evidence is not overwhelming. (f) z-intervals are sometimes referred to as large sample intervals. (g) If the p-value is 0.39 the null hypothesis is accepted at size =0.05.

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