Suppose a new initiative is interested in increasing the percent of students who
ID: 3172368 • Letter: S
Question
Suppose a new initiative is interested in increasing the percent of students who identify as female to pursue an engineering or computer science degree. A university will receive funding to actively market to these students if there is evidence that less than 1 in 4 engineering or computer science students identify as female at their university. Use the ST314 Student Information Survey from the Winter 2017 online class and campus class to answer whether there is evidence the S proportion of all OSU engineering students, who identify as female, is less than 0.25. Use a significance level of 0.01. Based on the bar chart of the data is there evidence the proportion of those who identify as female is K less than 0.25? How many students have been sampled? State the null and alternative hypotheses. Do you think it is appropriate to use the ST314 Student Survey data to represent the population of all OSU engineering students? Why or why not? Check conditions. Are they met? If not, still proceed. Calculate the test statistic. Show work! Give the appropriate p-value and state whether it is one-sided or two-sided. Calculate the appropriate 99% confidence interval. Show work! Finally, using the results from parts e, f and g, summarize your conclusions to the university. Use the four part conclusion method, which includes a statement in terms of the alternative, whether you reject or fail to reject the null based on a significance level, state and interpret the CI and point estimate and include context.Explanation / Answer
a. There are 28 female students and 204 male students, therefore, out of 232 students the proportion of female is: 28/232=0.1206. The proportion had been converted into percentage and clearly been displayed in the graph. Therefore, it seems that proportion of students who has been identified is less than 0.25.
b. The hypotheses are as follows:
H0:p>=0.25 (the population proportion of students being identified as female is atleast 25%)
H1:p<0.25 (the population proportion of students being identified as female is less than 25%).
c. The samples being surveyed comprised students from ST314 Student Information Survey from the Winter 2017 online and campus classes. The sample selection is biased, as convinient sample has been chosen, and therefore, the sample is not representative of the population.
d. Randomization condition: The sample of male and female were not chosen randomly.
10% condition: 28 females and 204 males are each less than 10% of all online class and campus class students.
Independent group assumption: Because the samples were selected at random, it is not reasonable to believe that female and male students are independent of each other.
Success/Failure condition: Both np=232*0.1206=27.9~28, and n(1-p)=232*(1-0.1206)=204 are atleast 10.
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