Table1 Failure Rate 0.472 0.354 0.133 0.041 Table2: Observed Frequency 32 15 9 4
ID: 3232030 • Letter: T
Question
Table1
Failure Rate
0.472
0.354
0.133
0.041
Table2:
Observed Frequency
32
15
9
4
The number of defects in printed circuit boards is hypothesized to have failure rates as given in table I.
A researcher believes that the failure rate is different than as illustrated in table I. She collects data and the observed failure rates of the printed ciruit board is given in table II.
Conduct a chi-squared test to determine if the collected data provide sufficient evidence to contradict the null hypothesis at a significance level of 0.05 that p0 = 0.472, p1 = .354, p2 = .133 and p4 = .041.
(Include the null hypothesis, alternative hypothesis, decision and conclusion along with the analysis)
Explanation / Answer
null hypothesis: failure rate is same as illustrated in table
alternate hypothesis:failure rate is different from illustrated in table
at 0.05 level of significance ; critical value for 3 degree of freedom =7.814
as chi stat 3.4059 is less then critical value we can not reject null hypothesis and does not have sufficent evidence to conclude that failure rate is different than as illustrated in table I.
observed Expected Chi square Probability O E=total*p =(O-E)^2/E 0.4720 32.000 28.32 0.48 0.3540 15.000 21.24 1.83 0.1330 9.000 7.98 0.13 0.0410 4.000 2.46 0.96 1 60 60 3.4059Related Questions
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