A random sample ofn=1300observations from a binomial population producedx=235.(a) If your research hypothesis is thatpdiffers from0.2, what hypothesis should you test?

H₀:p0.2 versusH_a:p= 0.2H₀:p< 0.2 versusH_a:p> 0.2H₀:p= 0.2 versusH_a:p< 0.2H₀:p= 0.2 versusH_a:p0.2H₀:p= 0.2 versusH_a:p> 0.2

(b) Calculate the test statistic and itsp-value. (Round your test statistic to two decimal places and yourp-value to four decimal places.)

z	=
p-value	=

Use thep-value to evaluate the statistical significance of the results at the 1% level.

H₀is not rejected since thep-value is not less than 0.01.H₀is not rejected since thep-value is less than 0.01.H₀is rejected since thep-value is less than 0.01.H₀is rejected since thep-value is not less than 0.01.

(c) Do the data provide sufficient evidence to indicate thatpis different from0.2?

YesNo