Table 2 Welch t -test Measure Hypothesis...

Table 2

Welch t-test

Measure	Hypothesis	Statistical form	Welch t-test			Supports the hypothesis
Measure	Hypothesis	Statistical form	t-statistic	DF	p-value	Supports the hypothesis
Trust	$H_{1 a}$	$H_{1 a} : μ_{A L} - μ_{H H} > 0$	3.212	78	0.000***	Yes
Trust	$H_{1 b}$	$H_{1 b} : μ_{A D} - μ_{H L} < 0$	−3.611	77	0.000***	Yes
Expectancy	$H_{2 a}$	$H_{2 a} : μ_{A L} - μ_{H H} > 0$	2.916	71	0.002***	Yes
Expectancy	$H_{2 b}$	$H_{2 b} : μ_{A D} - μ_{H L} < 0$	−2.131	79	0.018**	Yes
Intention	$H_{3 a}$	$H_{3 a} : μ_{A L} - μ_{H H} > 0$	3.035	78	0.001***	Yes
Intention	$H_{3 b}$	$H_{3 b} : μ_{A D} - μ_{H L} < 0$	−2.703	77	0.004***	Yes

Measure	Hypothesis	Statistical form	Welch t-test			Supports the hypothesis
Measure	Hypothesis	Statistical form	t-statistic	DF	p-value	Supports the hypothesis
Trust	$H_{1 a}$	$H_{1 a} : μ_{A L} - μ_{H H} > 0$	3.212	78	0.000***	Yes
Trust	$H_{1 b}$	$H_{1 b} : μ_{A D} - μ_{H L} < 0$	−3.611	77	0.000***	Yes
Expectancy	$H_{2 a}$	$H_{2 a} : μ_{A L} - μ_{H H} > 0$	2.916	71	0.002***	Yes
Expectancy	$H_{2 b}$	$H_{2 b} : μ_{A D} - μ_{H L} < 0$	−2.131	79	0.018**	Yes
Intention	$H_{3 a}$	$H_{3 a} : μ_{A L} - μ_{H H} > 0$	3.035	78	0.001***	Yes
Intention	$H_{3 b}$	$H_{3 b} : μ_{A D} - μ_{H L} < 0$	−2.703	77	0.004***	Yes

Note(s): ***, ** and * indicate significance at the 1, 5 and 10% levels, respectively. Any p-value less than 0.10 refers to the rejection of the null hypothesis defined against the hypotheses $H_{i a}$ and $H_{i b}$ for $i = 1, 2, 3 .$ Here, AL = AI algorithms, AD = AI data, HH = humans with high experience and HL = humans with low experience

Source(s): Table by authors

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