3. Statistical Methods

Hypothesis Testing — Quiz

Test your understanding of hypothesis testing with 5 practice questions.

Practice Questions

Question 1

A business analyst is conducting a hypothesis test to compare the average customer satisfaction scores of two different product lines. The analyst assumes that the population variances are unequal. Which statistical test is most appropriate for this scenario?

Question 2

A marketing manager wants to determine if a new advertising campaign has increased the proportion of customers who make a purchase. The historical purchase rate is $12\%$. A hypothesis test is conducted with $H_0: p \le 0.12$ and $H_1: p > 0.12$. If the sample proportion of purchasers is $0.15$, the sample size is $500$, and the calculated z-statistic is $2.10$. What is the p-value for this test? (Use a standard normal distribution table or calculator for approximation).

Question 3

A quality control engineer is testing if the average fill volume of bottles from a new production line is exactly $500$ ml. The population standard deviation is known to be $5$ ml. A sample of $30$ bottles has an average fill volume of $498$ ml. What is the calculated z-statistic for this test?

Question 4

In a scenario where a company is comparing the effectiveness of three different marketing strategies on sales, which statistical test would be most appropriate to determine if there is a significant difference in average sales among the strategies?

Question 5

A financial analyst is testing if the average daily stock price volatility of a particular stock has increased from its historical average of $1.5\%$. The analyst collects data for $25$ trading days and finds a sample standard deviation of $0.8\%$. Which statistical test is most appropriate for this scenario?