It is traditionally believed in the literature on bird migration that godwits that migrate between Alaska and New Zealand travel a mean distance of 11,575 kmnon-stop. The past several years, more godwits than usual have been observed breeding in the southernmost regions of Alaska. Because of this, a researcherclaims the godwits are now traveling a shorter mean distance non-stop. To test this claim, he studied 26 randomly chosen godwits that migrated between Alaskaand New Zealand. The birds traveled a sample mean distance of 11,425 km non-stop with a sample standard deviation of 365 km. Assume that the populationof 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 μ, the mean distancegodwits travel non-stop between Alaska and New Zealand, is now less than 11,575 km.esc(a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test.Ho: OH₁: 0Student's t DistributionStep 1: Enter the number of degreesof freedom.Explanation@Check#$4(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test.to.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 t=-x-μS√n50.4+MacBook ProA6H X&70<0 0≤0 0>0020X290-0ローロロメロⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center*S8Español9RAcc =ALEKS - Ayishatu Bature - LearnO CONFIDENCE INTERVALS AND HYPOTHESIS TESTINGIntroduction to hypothesis tests for the population mean using...Step 3: Enter the critical value(s).(Round to 3 decimal places.)Step 4: Enter the test statistic.(Round to 3 decimal places.)www-awu.aleks.comBIG Corporation advertises that its light bulbs have a mean lifetime, u, of at least 2....0.2-0.1+ExplanationXCheck5(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.O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there isenough evidence to support the claim that the mean distance godwits travel non-stop between Alaska and NewZealand is now less than 11,575 km.O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there isnot enough evidence to support the claim that the mean distance godwits travel non-stop between Alaska andNew Zealand is now less than 11,575 km.O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there isenough evidence to support the claim that the mean distance godwits travel non-stop between Alaska and NewZealand is now less than 11,575 km.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 support the claim that the mean distance godwits travel non-stop betweenAlaska and New Zealand is now less than 11,575 km.XLow BatteryYour Mac will sleep soon unless pluggedinto a power outlet.0SEspañolCD 1)OCloseⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility

In hypothesis testing, there are always two hypotheses - null hypothesis and alternative hypothesis. These two hypotheses must contradict each other. The user can define these two hypotheses based on his/her choice. The only condition is, the equality sign must be in the statement of the null hypothesis.Let xi denotes the distance travelled non-stop by the ith bird. We assume, xi ~ N(μ, σ2), where μ and σ2 are the parameters of the normal distribution. Here we want to test if the mean distance godwits travel non-stop between Alaska and New Zealand is now less than 11,575 km. Answer (a) Our null hypothesis to test is: against the alternative hypothesis Here, from the data we have, Answer (b) Then the value of the test statistic is, Here we are given, The tabulated value of t is, Clearly, Answer (c) Therefore, we reject the null hypothesis at 0.10 significance level. Conclusion: At 10% level of significance, 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 11,575 km. The correct answer is: First Option. All other options are incorrect.