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Chapter 9: Q.104 (page 593)

The most important condition for sound conclusions from statistical inference is that

(a) the data come from a well-designed random sample or randomized experiment

(b) the population distribution be exactly Normal.

(c) the data contain no outliers.

(d) the sample size be no more than 10%of the population size.

(c) the sample size be at least 30.

Short Answer

Expert verified

(a) the data come from a well-designed random sample or randomized experiment.

Step by step solution

01

Step-1: Given Information

We have to find out the correct option of the most important condition for sound conclusions from statistical inference.

02

Step-2 Explanation

The most significant criterion for using a significant test is that the data from the survey or sample originates from a random sample.

Hence, the correct option is (a)

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Most popular questions from this chapter

Which of the following 95% confidence intervals would lead us to reject H0:p=0.30in favor of Ha:p鈮�0.30at the 5% significance level?

(a) (0.29, 0.38) (c) (0.27, 0.31) (e) None of these

(b) (0.19, 0.27) (d) (0.24, 0.30)

A random sample of 100likely voters in a small city produced 59voters in favor of Candidate A. The observed value of the test statistic for testing the null hypothesis H0:p=0.5versus the alternative hypothesis Ha:p=0.5is

(a)z=0.59-0.50.59(0.41)100

(b). z=0.59-0.50.5(0.5)100

(c). z=0.5-0.590.59(0.41)100

(d). z=0.5-0.590.5(0.5)100

(e).t=0.59-0.50.5(0.5)100

The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 25right-handed students to turn a knob (with their right hands) that moved an indicator. There were two identical instruments, one with a right-hand thread (the knob turns clockwise) and the other with a left-hand thread (the knob must be turned counterclockwise). Each of the 25students used both instruments in a random order. The following table gives the times in seconds each subject took to move the indicator a fixed distance:

(a) Explain why it was important to randomly assign the order in which each subject used the two knobs.

(b) The project designers hoped to show that right-handed people find right-hand threads easier to use. Carry out a significance test at the 5%significance level to investigate this claim

Significance tests A test ofH0:p=0.5versus Ha : p >0.5 has test statistic z=2.19.

(a) What conclusion would you draw at the 5 % significance level? At the 1 % level?

(b) If the alternative hypothesis were H0:p鈮�0.5what conclusion would you draw at the 5% significance level? At the 1 % level?

When asked to explain the meaning of the P-value in Exercise 13, a student

says, 鈥淭his means there is only probability 0.01 that the null hypothesis is true.鈥� Explain clearly why the student鈥檚 explanation is wrong.
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