that migrate between Alaska and New Zealand travel a mean distance of 11 375 km non stop The past several years more godwits than usual have been observed breeding in the southernmost regions of Alaska Because of this a researcher claims the godwits are now traveling a shorter mean distance non stop To test this claim he studied 25 randomly chosen godwits that migrated between Alaska and New Zealand The birds traveled a sample mean distance of 11 125 km non stop with a sample standard deviation of 425 km Assume that the population of distances traveled non stop between Alaska and New Zealand by godwits is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support that the mean distance godwits travel non stop between Alaska and New Zealand is now less than 11 375 km a State the null hypothesis H and the alternative hypothesis that you would use for the test H H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed OTwo tailed Step 3 Enter the critical value s Round to 3 decimal places 0 10 is the value that cuts off an area of 0 10 in the right tail The value of the test statistic is given by H S n Step 4 Enter the test statistic Round to 3 decimal places t b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test 04 03 Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean distance godwits travel non stop between Alaska and New Zealand is now less than 11 375 km 01 01 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean distance godwits travel non stop between Alaska and New Zealand is now less than 11 375 km Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean distance godwits travel non stop between Alaska and New Zealand is now less than 11 375 km O O OSO O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to x 7 020 0 0 X X c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the researcher X 0 0 3 5