For each of the following situations determine which hypothesis test procedure i

Question

For each of the following situations determine which hypothesis test procedure is the most appropriate. The significant level is 0.05 You DO have to perform the test, following 5 steps procedure. The hypothesis test procedures you have a choose from are One sample Z-test for proportions wo sample Z-test for proportions One sample t-test for means wo sample t-test for means Paired t-test a. A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of 45 students from Pennsylvania had an average score of 580, whereas a sample of 38 students had an average score of 530. The sample standard deviations for Pennsylvania and Ohio are 105 and 114 respectively. Does the study suggest that the SAT math score for students in Pennsylvania and Ohio differ? b. A field biologist examined the sex ratio at birth of the lesser snow geese. A random sample of nests containing four eggs was taken. For each egg resulting in a live gosling, the laying order and the gender of the gosling were recorded Of the 27 successfully hatched first eggs, 17 were male. Is there significant evidence that the proportion of male goslings is not 50%

Explanation / Answer

a) here these sample are independent and population standard deviation is not known of each other therefore we should choose two sample t -test for means

b)

as above test is related to proportions and there is only one sample involved ; therefore

one sample z test for proportions

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