Question

# In order to conduct a hypothesis test for the population proportion, you sample 290 observations that...

In order to conduct a hypothesis test for the population proportion, you sample 290 observations that result in 87 successes. (You may find it useful to reference the appropriate table: z table or t table)

a1) H0: p ≥ 0.36; HA: p < 0.36. a-1. Calculate the value of the test statistic.

Test statistic:

a2) Find the p-value

a. p-value  0.10

b. p-value < 0.01

c. 0.025  p-value < 0.05

d. 0.05  p-value < 0.10

a-4 Interpret the results at αα = 0.01

a) We cannot conclude that the population mean is less than 0.36.

b) We conclude that the population mean is less than 0.36.

c) We cannot conclude that the population proportion is less than 0.36.

d) We conclude that the population proportion is less than 0.36.

H0: p = 0.36; HA: p ≠ 0.36.

b-1. Calculate the value of the test statistic.

Test statistic:

b-2. Find the p-value.

a) p-value  0.10

b) p-value < 0.01

c) 0.01  p-value < 0.025

d) 0.025  p-value < 0.05

e) 0.05  p-value < 0.10

b-4. Interpret the results at αα = 0.01.

a) We conclude that the population mean differs from 0.36.

b) We cannot conclude that the population mean differs from 0.36.

c) We conclude the population proportion differs from 0.36.

d) We cannot conclude that the population proportion differs from 0.36.

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