Asked by Rhiannon Butler on May 14, 2024
Verified
Last year, a soft drink manufacturer had 21% of the market.In order to increase their portion of the market, the manufacturer has introduced a new flavor in their soft drinks.A sample of 400 individuals participated in the taste test and 100 indicated that they like the taste.We are interested in determining if more than 21% of the population will like the new soft drink.
a.
Set up the null and the alternative hypotheses.
b.
Determine the test statistic.
c.
Determine the p-value.
d.
Using α = .05, test to determine if more than 21% of the population will like the new soft drink.
Test Statistic
A value calculated from sample data during a hypothesis test, used to make a decision about the null hypothesis.
P-Value
A statistical measure that helps to determine the strength of the results to support or reject the null hypothesis.
- Acquire the procedure for formulating null and alternative hypotheses in several statistical evaluations.
- Compute metrics for test statistics across diverse types of data and research designs.
- Enrich your knowledge of the p-value concept and its computation practices.
Verified Answer
NC
nicolò cerminaraMay 17, 2024
Final Answer :
a.
H0: p
.21
Ha: p > .21
b.
Test statistic z = 1.96 (rounded)
c.
p-value = .025
d.
p-value = .025 < .05; therefore, reject H0; more than 21% like the new drink.
a.
H0: p
.21Ha: p > .21
b.
Test statistic z = 1.96 (rounded)
c.
p-value = .025
d.
p-value = .025 < .05; therefore, reject H0; more than 21% like the new drink.
Learning Objectives
- Acquire the procedure for formulating null and alternative hypotheses in several statistical evaluations.
- Compute metrics for test statistics across diverse types of data and research designs.
- Enrich your knowledge of the p-value concept and its computation practices.