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Mathematics & Statistics

Inferential Statistics

Interview questions on Inferential Statistics.

14 questions

Hypothesis Testing

Q1. Define statistical hypothesis testing. Explain in detail how does it work?

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Hypothesis Testing

Q2. Define $p-value$ in context of hypothesis testing.

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Hypothesis Testing

Q3. State steps involve in hypothesis testing for population proportion.

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Hypothesis Testing

Q4. Explain significance level of the test and its use in hypothesis testing.

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Hypothesis Testing

Q5. In hypothesis testing when do we conclude the statistical significance of the result?

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Hypothesis Testing

Q6. There are rumors that students in a certain liberal arts college are more inclined to use drugs than U.S. college students in general. Suppose that in a simple random sample of $400$ students from the college, 76 admitted to marijuana use. Do the data provide enough evidence to conclude that the proportion of marijuana users among the students in the college (p) is higher than the national proportion, which is $0.157$?

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Hypothesis Testing

Q7. Write the general form that can be taken by null hypothesis $H_0$ and alternate hypohesis $H_a$.

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Hypothesis Testing

Q8. How does null hypothesis is related with confidence interval? Explain it with an example.

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Hypothesis Testing

Q9. Explain the difference between z-distribution and t-distribution.

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Hypothesis Testing

Q11. What is Type I and Type II error in case of hypothesis testing?

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Hypothesis Testing

Q12. What do you mean by test statistic in hypothesis testing?

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Hypothesis Testing

Q13. Tossing a coin fifteen times resulted in 10 heads and 5 tails. How would you analyze whether a coin is fair?

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Hypothesis Testing

Q14. Statistical significance.

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  1. How do you assess the statistical significance of a pattern whether it is a meaningful pattern or just by chance?
  2. What’s the distribution of p-values?
  3. Recently, a lot of scientists started a war against statistical significance. What do we need to keep in mind when using p-value and statistical significance?