Question

In: Statistics and Probability

In an analyst's test of the value of a market brand, the null hypothesis was that...

In an analyst's test of the value of a market brand, the null hypothesis was that the brand would not improve the population's perceived value of the product. The analyst would reject the null hypothesis if the brand improved the perceived value of the product for at least 58 of the 100 people in the analyst's sample. After the test, the null hypothesis was rejected because the brand improved the perceived value of the product for 60 subjects in a sample of 100 subjects.
In this test, the p-value is...

58
60
the probability that 58 people in the sample will perceive value from the brand if the null hypothesis is nevertheless true.
the probability that 60 people in the sample will perceive value from the brand if the null hypothesis is nevertheless true.

Solutions

Expert Solution

In an analyst's test of the value of a market brand, the null hypothesis was that the brand would not improve the population's perceived value of the product. The analyst would reject the null hypothesis if the brand improved the perceived value of the product for at least 58 of the 100 people in the analyst's sample. After the test, the null hypothesis was rejected because the brand improved the perceived value of the product for 60 subjects in a sample of 100 subjects.
In this test, the p-value is...

58

60

the probability that 58 people in the sample will perceive value from the brand if the null hypothesis is nevertheless true.

Answer: the probability that 60 people in the sample will perceive value from the brand if the null hypothesis is nevertheless true.

Note:

P value is the probability of obtaining an effect at least as extreme as the one in your sample data, assuming the truth of the null hypothesis. In our sample , there are 60 people improved the perceived value of the product in a sample of 100 subjects.


Related Solutions

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses both the claim and the significance level alpha. Use the P-value method. A sample of 17 jellybeans with a mean weight of 0.8295 g was taken. Assume that σ is known to be 0.0565 g. Consider a hypothesis test that uses a 0.05 significance level to test the claim that the mean weight of all jellybeans is equal to 0.8550 g...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that test the claim that the population mean is 22°C . Use a 0.05 significance level. Testing Hypothesis Z-Table
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. a) A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. b) In a sample of 167 children selected randomly from one town, it is found that 37 of...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the given data set of x and y values to answer the following questions. x-values 1 1 1 2 2 2 3 3 3 9 y-values 8 9 10 8 9 10 8 9 10 2 (a) Use StatCrunch to find the regression equation, ˆy = b0 + b1x and the sample correlation...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Listed below are ages of actresses and actors from a country at the times that they won a certain award. The data are paired according to the years that they won. Use a 0.01 significance level to test the belief that best actresses are younger than best actors. Does the result suggest a problem...
In a hypothesis test, the null hypothesis of < 81 is rejected because the P-value was...
In a hypothesis test, the null hypothesis of < 81 is rejected because the P-value was 0.0465. The sample size “n” was 55 and the sample mean was 84.5. Find the value of the population standard deviation “σ”.
Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state...
Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Among 2084 passenger cars in a particular​ region, 241 had only rear license plates. Among 349 commercial​ trucks, 53 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars....
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state...
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2173 passenger cars in a particular region, 235 had only rear license plates. Among 335335 commercial trucks, 5151 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars....
Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state...
Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Among 2091 passenger cars in a particular​ region, 226 had only rear license plates. Among 375 commercial​ trucks, 56 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars....
Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state...
Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Among 2083 passenger cars in a particular​ region, 230 had only rear license plates. Among 325 commercial​ trucks, 47 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT