STEM Internships ~ In 2017, a survey conducted by the MSU Graduate School asked MSU graduate students studying STEM fields, "Do you value an internship experience more than your academic research for the future industrial job market?" The survey report stated that 84% of respondents said, "yes".The MSU Statistics Department wonders if, in recent years, this proportion has decreased from 84%. The department randomly selects 355 MSU graduate students in STEM fields and finds that 282 of them answered "yes" to the same question.Round all calculated values in this problem to 4 decimal places.1. The Statistics Department decides to conduct a hypothesis test for their research question. Which test is most appropriate for this scenario?A. Two sample z-test for the difference in population proportions B. 22 goodness of fit test C. 22 test of independence D. One sample Z-test for a population proportion E. One sample t-test for a population mean2. Which of the following conditions must be met for the hypothesis test to be valid? Check all that apply. A. The sample size must be larger than 30 or the population data must be normally distributed B. The null standard error must be at least 5. C. Each observation must be independent of the other observations in the data set. D. np^10np^10 and n(1p^)10n(1p^)10 E. np010np010 and n(1p0)10n(1p0)10 3. Choose the appropriate null and alternative hypotheses the department should use to answer their research question.A. H0:p=0.84H0:p=0.84, HA:p<0.84HA:p<0.84 B. H0:p=0.84H0:p=0.84, HA:p^<0.7944HA:p^<0.7944 C. H0:p=0.84H0:p=0.84, HA:p0.84HA:p0.84 D. H0:p^=0.84H0:p^=0.84, HA:p^>0.84HA:p^>0.844. Calculate the test statistic. ? z t X^2 = 5. Calculate the p value.p-value = 6. Gina works for another university in Michigan and conducts a similar hypothesis test for her university. She calculates a p-value of 0.0335. Gina has ? Little Some Strong Very Strong Extremely Strong evidence that the null model is not a good fit for her observed data.