In recent years, 64% of students at ACME University were women. Administrators wondered if this proportion has diminished. In a recent survey of 300 ACME University students, 178 were women. a. Check all assumptions for performing the binomial test for a population proportion. Are they satisfied?SRS
b. Write the null and alternative hypotheses. Null- true proportion= 0.64Alternative- the true proportion= <0.64
c. Carry out the binomial test at the α = 7% significance level. Calculate the p-value, and state your conclusion in a complete sentence.
p-value= 0.05309if the null hypothesis is true, there is a 5.3% chance of getting a small sample proportion. We should reject the null if favor of the alternative if a=7
d. How would your conclusion in part c. change if the significance level α was changed to 5%? Explain. We would fail to reject the null hypothesis
