1 of 3 ID: MST FET.HT CHT.03.0020A Gail is a student in a class that has been as

Question

1 of 3 ID: MST FET.HT CHT.03.0020A Gail is a student in a class that has been asked to conduct a hypothesis test for a population proportion. The null and alternative hypotheses are Ho: ?-0.4 ??: * 0.4 Gail is given a sample and calculates the test statistic. Using a level of significance of a-0.05, she does not reject the null hypothesis. Gails friends, Andrew and Ben, also use the sample to calculate a test statistic. However, they differ in the level of significance they use. Andrew uses a level of significance of a = 0.1, while Ben uses a 0.01. All three students perform their calculations correctly. For each of Gail's friends, select whether or not they reject the null hypothesis, or whether it is impossible to tell from the information given. Reject Doesn't reject Cannot tell a) Andrew b) Ben 2 of 3 ID: MST.FET.HT.CHT.01.0030A [1 mark] April is a statistics student who has extensive computer programming skills. She programs a random-number generator that produces numbers that follow the normal distribution with mean ?-10 (her favorite number) and standard deviation ?-4. April's friend Augustus does not know that the population mean is 10. However he knows that April's favorite number is 10, and decides to conduct a hypothesis test with the following hypotheses: Ho: ?-10 HA: H 10 The result of the test is that Augustus rejects the null hypothesis. Augustus has o committed a Type I error o committed a Type II error not committed a Type I error or Type II error committed both a Type I error and a Type II error 3 of 3 ID: MST.FET.HT.CHT.02.0040A Select whether the following changes to a hypothesis test will cause the value of ? to increase, decrease or remain unchanged. In each case, assume all other aspects of the test remain the same. a) b) c) A larger level of a is selected for the test. There is a decrease in the magnitude of the critical value(s) A larger sample size is selected for the test.

Explanation / Answer

1 of 3:

a)Andrew : can not tell

b) Ben: Does not reject

2 of 3:

commited a type I error

3 of 3:

a) higher level of alpha selected: decreases

b) decrease in critical value(s) :decrease

c)a larger sample size : decrease

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