Symbol of the sample statistic:OpO p-oxOpOPi - P2OpO pzValue of the sample statistic rounded to 2 decimal places:P-value of the sample statistic rounded to 4 decimal places:(e) Conclusion: Select an answerv at a =(f) Answer the question: Does the sample data fit the population proportions?O No, because the gender proportions for the sample are significantly different from the genderproportions for the population.O Yes, because the gender proportions for the sample are not significantly different from the genderproportions for the population.O No, because the gender proportions for the sample are not significantly different from the genderproportions for the population.O Yes, because the gender proportions for the sample are significantly different from the genderproportions for the population.Question Help: Message instructorSubmit Questionhp The student government at Nassau Community College has been told that the student population consistsof 53% female and 47% male. A random sample of 500 students consists of 265 females and 235 males, asshown in the table below. Does the sample data fit the population proportions at a = 5 %?Sample of StudentsGender Number of studentsFemales265Males235(a) State the hypotheses:v theHo: The Select an answerSelect an answerv for gender Select an answerv for gender.Ha: The Select an answerv for gender Select an answerv theSelect an answerv for gender.(b) Choose the correct distribution:O Chi-Square DistributionOT-DistributionO Normal Distribution(c) State the decision rule:Select an answerv at a =% if the p-value of the Select an answer v isSelect an answer(d) Experiment:Complete the table below for the expected values.Expected ValuesGenderNumber of studentsFemalesMalesChp

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The student government at Nassau Community College has been told that the student population consists of 53% female and 47% male. A random sample of 500 students consists of 265 females and 235 males, as shown in the table below. Does the sample data fit the population proportions at a= 5 %? Sample of Students Gender Number of students Females 265 Males 235