A marketing research firm wants to determine if a new advertising campaign has an effect on sales. The null hypothesis is that the campaign has no effect on sales, meaning the average sales before and after the campaign are equal. The firm conducts a two-sample t-test and obtains a t-statistic of 2.7 and a degrees of freedom of 20. What is the p-value of the hypothesis test?
A marketing research firm wants to determine if a new advertising campaign has an effect on sales. The null hypothesis is that the campaign has no effect on sales, meaning the average sales before and after the campaign are equal. The firm conducts a two-sample t-test and obtains a t-statistic of 2.7 and a degrees of freedom of 20. What is the p-value of the hypothesis test?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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A marketing research firm wants to determine if a new advertising campaign has an effect on sales. The null hypothesis is that the campaign has no effect on sales, meaning the average sales before and after the campaign are equal. The firm conducts a two-sample t-test and obtains a t-statistic of 2.7 and a degrees of freedom of 20. What is the p-value of the hypothesis test?
Expert Solution
Step 1
To calculate the p-value, the t-statistic of 2.7 and degrees of freedom of 20 can be used to look up the p-value in a t-distribution table. The p-value can be approximately 0.02, meaning that there is a 2% chance of observing the t-statistic of 2.7 if the null hypothesis were true.
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