Normal Hypothesis Testing (Edexcel A-Level Mathematics): Quizzes

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Normal Hypothesis Testing
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What does the null hypothesis (H0H_0) represent in hypothesis testing?

Assumption of no effect or difference

What is the alternative hypothesis (H1H_1) in hypothesis testing?

Assumption of effect or difference

What are the common significance levels (α\alpha) used in hypothesis testing?

0.05 (5%) or 0.01 (1%)

What does the p-value represent in hypothesis testing?

Prob. of result as extreme, assuming H0H_0

What is a critical value in hypothesis testing?

Threshold test statistic must exceed

What is the formula for the test statistic zz in normal hypothesis testing?

z=xˉ−μ0σnz = \frac{\bar{x} - \mu_0}{\frac{\sigma}{\sqrt{n}}}

In the example, what is the critical zz-value for a 5% significance level (one-tailed)?

-1.645

In the light bulb example, what was the sample mean lifetime found?

980 hours

When do we reject H0H_0 using test statistic in a left-tailed test?

When test statistic < critical value

When do we reject H0H_0 using the p-value method?

When p-value < significance level

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