Asked by Olivia Galvan on May 29, 2024
Verified
A marketing survey involves product recognition in Ontario and British Columbia.Of 558 Ontario residents surveyed,193 knew the product while 196 out of 614 British Columbia residents knew the product.At the 0.05 significance level,do the data provide sufficient evidence to conclude that the recognition rate in Ontario differs from the recognition rate in British Columbia?
Significance Level
The threshold of probability at which the results of a statistical test are considered significant, often denoted by alpha.
Product Recognition
The ability of consumers to identify a product or brand by its attributes, logo, packaging, or advertising.
- Perform tests to ascertain the difference in two proportions under a hypothesis.
Verified Answer
ZK
Zybrea KnightJun 04, 2024
Final Answer :
H0: P1\mathrm { P } 1P1 - P2\mathrm { P } 2P2 = 0 HA: P1\mathrm { P } 1P1 - P2\mathrm { P } 2P2 ≠ 0 Test statistic: z = 0.97 P-value = 0.332 Fail to reject the null hypothesis.There is not sufficient evidence to conclude that the recognition rate in New York differs from the recognition rate in California.
Learning Objectives
- Perform tests to ascertain the difference in two proportions under a hypothesis.
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