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Statistical Errors in Hypothesis Testing:
| Error | Also Called | Meaning | Risk |
|---|---|---|---|
| Type I (\(\alpha\)) | False Positive | Rejecting \(H_0\) when it is actually true | Adopting ineffective treatment |
| Type II (\(\beta\)) | False Negative | Failing to reject \(H_0\) when it is actually false | Missing an effective treatment |
In nursing, a Type II error could mean a beneficial intervention is dismissed and patients miss out on better care. Increasing sample size is the main way to reduce \(\beta\) and increase power.
At 31 December: Balance per bank statement $22,650; Uncleared deposits $3,110; Unpresented cheques $6,290; Bank credit recorded twice by bank in error $650. What is the cash book balance for the statement of financial position?
Option A ($18,820) is correct.
Bank statement balance: $22,650
+ Uncleared deposits: +$3,110
− Unpresented cheques: −$6,290
− Bank error (overstated credit): −$650
Cash book balance = $18,820
Which characteristic does NOT apply to smooth muscle?
Smooth muscle lines walls of hollow organs (blood vessels, intestines, bladder). Cardiac muscle lines the heart wall. Smooth muscle lacks striations, is involuntary, and cells are spindle-shaped.
The null hypothesis \((H_0)\) always states that there is no effect, no difference, or no relationship between variables.
Hypothesis structure:
- \(H_0\): \(\mu_{\text{new}} = \mu_{\text{standard}}\) (no difference in infection rates)
- \(H_1\) (Alternative): \(\mu_{\text{new}} \neq \mu_{\text{standard}}\) or \(\mu_{\text{new}} < \mu_{\text{standard}}\)
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