A random sample ofn= 1,000 observations from a binomial population contained383successes. You wish to show thatp<0.4.

State the null and alternative hypothesis.

H₀:p= 0.4 versusH_a:p0.4

H₀:p= 0.4 versusH_a:p< 0.4

H₀:p= 0.4 versusH_a:p> 0.4

H₀:p< 0.4 versusH_a:p> 0.4

H₀:p0.4 versusH_a:p= 0.4

Calculate the appropriate test statistic. (Round your answer to two decimal places.)

z=

Provide an= 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

z>z<

State your conclusion.

H₀is rejected. There is sufficient evidence to indicate thatpis less than 0.4.

H₀is not rejected. There is sufficient evidence to indicate thatpis less than 0.4.

H₀is rejected. There is insufficient evidence to indicate thatpis less than 0.4.

H₀is not rejected. There is insufficient evidence to indicate thatpis less than 0.4.

You may need to use the appropriateappendix tableto answer this question.