The mean Colorado household income in 2020 was $67,433. A researcher claims that this is likely not true due to the COVID-19 pandemic. From a recent random sample of 36 Colorado households the mean income was $73,462 with a standard deviation of $18,027. At a = 0.05, is this sufficient evidence to support the researcher's claim? а. State the null and alternative hypotheses AND identify which is the researcher's claim. b. Determine the critical value(s) that separate the rejection region(s) from the non-rejection region. c. Compute the appropriate test statistic and provide the corresponding p-value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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2. The mean Colorado household income in 2020 was $67,433. A researcher claims that this is likely
not true due to the COVID-19 pandemic. From a recent random sample of 36 Colorado households
the mean income was $73,462 with a standard deviation of $18,027. At a = 0.05, is this sufficient
evidence to support the researcher's claim?
State the null and alternative hypotheses AND identify which is the researcher's claim.
а.
b. Determine the critical value(s) that separate the rejection region(s) from the non-rejection
region.
С.
Compute the appropriate test statistic and provide the corresponding p-value.
d. Make your decision about the evidence and provide a justification.
Transcribed Image Text:2. The mean Colorado household income in 2020 was $67,433. A researcher claims that this is likely not true due to the COVID-19 pandemic. From a recent random sample of 36 Colorado households the mean income was $73,462 with a standard deviation of $18,027. At a = 0.05, is this sufficient evidence to support the researcher's claim? State the null and alternative hypotheses AND identify which is the researcher's claim. а. b. Determine the critical value(s) that separate the rejection region(s) from the non-rejection region. С. Compute the appropriate test statistic and provide the corresponding p-value. d. Make your decision about the evidence and provide a justification.
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