Question

ADps Mass Asset Report f.. m Address Lookup A. 4Navigator Roles: Ac.. Accelerating Innova... Calculate Standa ddns ssanaid sares (Use Excel) The quality manager believes there may be a rolationship between the experience level of an inspector and whether a product passes or fails inspection Inspection records were reviewed for 630 units of a particular product, and the number of units which passed and failed inspection was determined based on three inspector experience levels. The results are shown in the following table Experience Level Modium (2-8 years) 287 47 Low Decision (under 2 years) 152 18 High (over 8 years) 100 Pass Fail 26 a. Specify the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level O Ho Inspector pass/fail decision and experience level are independent; HA Inspector pass/fail decision and experience level are dependent Ho Inspector pass/fail decision and experience level are dependent, HA Inspector pass/fail decision and experience level are independent. b. Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Approximate the p-value. p-value >0.10 p-value 0.01 0.05s pvalue 0.10 0.01 s p-value < 0.025 0.025 s p-value < 0.05 d-1. At the 5% significance level, what is your conclusion? Ho At the 5 % significance level, we (Click to select) conclude that inspection nce are dependent (Click to select) (Click to select) Do not reject d-2. D Reject change at the 1% significance level? No Yes Type here to search e

Answer 1

Ans A ) H0:inspector pass/fail decision and experience level are independent.

Ha : inspector pass/fail decision and experience level are dependent.

Ans b ) using Minitab >stat> tables>chi square test

we have

Chi-Square Test for Association: Decision, Experience level

Rows: Decision Columns: Experience level

Low Medium High All

Pass 152 287 100 539
145.44 285.76 107.80
0.2955 0.0054 0.5644

Fail 18 47 26 91
24.56 48.24 18.20
1.7501 0.0321 3.3429

All 170 334 126 630

Cell Contents: Count
Expected count
Contribution to Chi-square

Pearson Chi-Square = 5.990, DF = 2, P-Value = 0.050

the test statistic = 5.99

c )P-Value = 0.050

$0.05\leq p value \leq 0.10$

d-1) do not reject H0 at 5% level, we do not have sufficient evidence to conclude that inspector pass/fail decision and experience level are dependent.

d-2 ) No, since p-value is >0.01