A city maintenance crew is putting up lights in the town square for an upcoming holiday. 150 strands of each of two different brands of LED lights were purchased by he city to determine which brand works best. It is reasonable to assume that when he lights were selected for shipping, that they were selected at random from the entire supply of each brand. When the lights arrived it was discovered that 12 strands of Brand A were faulty and 16 strands of Brand B were faulty. a. State appropriate hypotheses for performing a significance test. o. Define the parameters of interest. . Calculate the standardized test statistic. d. Find the P-value. e. Does this provide convincing evidence of a difference in the proportion of faulty strands between the two brands at the a = 0.05 significance level?

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A city maintenance crew is putting up lights in the town square for an upcoming
holiday. 150 strands of each of two different brands of LED lights were purchased by
the city to determine which brand works best. It is reasonable to assume that when
the lights were selected for shipping, that they were selected at random from the
entire supply of each brand. When the lights arrived it was discovered that 12
strands of Brand A were faulty and 16 strands of Brand B were faulty.
a. State appropriate hypotheses for performing a significance test.
b. Define the parameters of interest.
c. Calculate the standardized test statistic.
d. Find the P-value.
e. Does this provide convincing evidence of a difference in the proportion of faulty
strands between the two brands at the a =
0. 05 significance level?
Transcribed Image Text:A city maintenance crew is putting up lights in the town square for an upcoming holiday. 150 strands of each of two different brands of LED lights were purchased by the city to determine which brand works best. It is reasonable to assume that when the lights were selected for shipping, that they were selected at random from the entire supply of each brand. When the lights arrived it was discovered that 12 strands of Brand A were faulty and 16 strands of Brand B were faulty. a. State appropriate hypotheses for performing a significance test. b. Define the parameters of interest. c. Calculate the standardized test statistic. d. Find the P-value. e. Does this provide convincing evidence of a difference in the proportion of faulty strands between the two brands at the a = 0. 05 significance level?
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