Interpret the following results using both hypothesis test and confidence interv

Question

Interpret the following results using both hypothesis test and confidence intervals:

Two sample Z hypothesis test:
1 : Mean of short follow-up status (Std. dev. not specified)
2 : Mean of long follow-up status (Std. dev. not specified)
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0

Hypothesis test results:

Difference

n1

n2

Sample mean

Std. err.

Z-stat

P-value

1 - 2

53

47

0.11922923

0.10048434

1.1865453

0.2354

Two sample Z confidence interval:
1 : Mean of short follow-up time (Std. dev. not specified)
2 : Mean of long follow-up time (Std. dev. not specified)
1 - 2 : Difference between two means

95% confidence interval results:

Difference

n1

n2

Sample mean

Std. err.

L. limit

U. limit

1 - 2

53

47

0.11922923

0.10048434

-0.077716462

0.31617491

Difference

n1

n2

Sample mean

Std. err.

Z-stat

P-value

1 - 2

53

47

0.11922923

0.10048434

1.1865453

0.2354

Explanation / Answer

a) Hypothesis test results:

p -value = 0.2354

Since this value is greater than 0.05, we do not reject Ho.

b) Confidence interval results:

Since confidence interval contains 0, we do not reject Ho.

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