Ann and Sam are both testing the hypothesis that 40% of plain M&M’s are orange, Ho: p = 0.40. Ann draws a sample of M&M’s and 45% of her sample are orange. She calculates a test statistic of z = 1.25. Sam draws a sample of M&M’s and 50% of his sample are orange. He calculates a test statistic of z = 1.
What can we conclude? Mark each statement as true or false.
- Sam’s data provide stronger evidence against Ho because 0.50 is further from 0.40:
- Ann’s data provides stronger evidence against Ho because her test statistic is larger:
- Someone made a mistake in calculating the test statistic. Sam should have the larger test statistic since 0.50 is further from 0.40:
- Sam must have drawn a smaller sample than Ann: