Study the information provided below and answer the following question:

In a pilot study, you sought to determine whether the organisational resilience of South African mining companies differs

across categories of digital maturity. Accordingly, you gathered data on the digital maturity and organisational resilience of ten

South African mining companies from forty top managers of the ten companies. The excerpt of the data gathered is shown in

Table $4.,$ below.

Table $4\mathrm{.}1$: Excerpt of data gathered from $40$ top managers of $10$ South African mining companies

Manager$$s ref # Category of company$$s digital maturity Measure of company$$s resilience $(\%)$

$1$ digital innovator $79$

$2$ digital follower $52$

$3$ digital novice $35$

$4$ digital follower $55$

$5$ digital innovator $58$

$6$ digital champion $87$

$7$ digital follower $59$

$8$ digital novice $40$

$9$ digital champion $84$

$10$ digital follower $53$

$11$ digital follower $58$

$12$ digital follower $62$

$13$ digital innovator $75$

$14$ digital follower $69$

$15$ digital follower $72$

$.........$

$40$ digital follower $61$

You analysed the data using IBM SPSS Statistics version $26$ and the output in Figure $4\mathrm{.}1$ to Figure $4\mathrm{.}4$ was generated:

Figure $4\mathrm{.}1$: Tests of Normality

Kolmogorov$-$Smirnova Shapiro$-$Wilk

Statistic df Sig. Statistic df Sig.

Organisational$\_$resilience $\mathrm{.}17340\mathrm{.}000\mathrm{.}78040\mathrm{.}000$

a$.$ Lilliefors Significance Correction

Figure $4\mathrm{.}2$: Test of Homogeneity of Variances

Scores

Levene Statistic df$1$ df$2$ Sig.

$1\mathrm{.}296337\mathrm{.}029$

Figure $4\mathrm{.}3$: Ranks

Digital$\_$maturity N Mean Rank

Organisational$\_$resilience Digital$\_$novice $545\mathrm{.}00$

Digital$\_$follower $226598\mathrm{.}23$

Digital$\_$innovator $98130\mathrm{.}03$

Digital$\_$champion $45890\mathrm{.}56$

Total $40$

Figure $4\mathrm{.}4$: Test Statisticsa,b

Scores

Chi$-$Square $28\mathrm{.}199$

df $3$

Asymp. Sig. $\mathrm{.}000$

a$.$ Test

b$.$ Grouping Variable: Digital$\_$maturity

REQUIRED:

$4\mathrm{.}1$ State the aim of the pilot study described above. $(2$ marks$)$

$4\mathrm{.}2$ State the independent variable $($IV$)$ and dependent variable $($DV$).(2$ marks$)$

$4\mathrm{.}3$ State the level of measurement of the IV and DV$.(2$ marks$)$

$4\mathrm{.}4$ Formulate the null and alternative hypotheses for the study. $(2$ marks$)$

$4\mathrm{.}5$ What does the output in Figure $4\mathrm{.}1$ and Figure $4\mathrm{.}2$ reveal about the data? $(4$ marks$)$

$4\mathrm{.}6$ Based on the background information provided for the pilot study and the statistical analysis conducted, state

the main inferential statistical test which was run to test the hypothesis formulated in question $4\mathrm{.}4.$ Briefly justify

the appropriateness of the test you selected.

$(4$

marks$)$

$4\mathrm{.}7$ Provide a comprehensive interpretation of the output of the main statistical analysis conducted in the pilot

study. Make use of the standard reporting format.

$(6$

marks$)$

$4\mathrm{.}8$ State the main inadequacy of the inferential statistical test which was conducted $($see $4\mathrm{.}6)$ and suggest a

way to mitigate the inadequacy.