According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 89.2 years. Many of the areas where thesetortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim,the biologist conducted a study of 17 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 88.3 years with asample standard deviation of 1.8 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild is approximately normally distributed.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim thatµ, the meamlifespan of giant Aldabra tortoises in the wild, is now less than 89.2 years.(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test.H:O ) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the biologist.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enoughevidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is notenough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2years.O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence tosupport the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years.Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years.

The sample size is 17, sample mean is 88.3, and sample standard deviation is 1.8. The population mean is 89.2 years.(a) The claim is that μ the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years. The hypothesis is, Null hypothesis: H0:μ≥89.2 Alternative hypothesis: H1:μ<89.2(b) The t test statistic is, t=x¯-μsn=88.3-89.21.817=-0.90.436564125=-2.06155 The t test statistic is -2.06155. The degrees of freedom is, df=n-1=17-1=16 The hypothesis is left tail. The probability of t less than -2.06155 with 16 degrees of freedom can be obtained using the excel formula “=T.DIST (–2.06155, 16, TRUE)”.The probability value is 0.0279. Therefore, the p-value is 0.0279.(c) Decision rule: If p-value≤α, then reject the null hypothesis. Conclusion: The p-value (0.0279) is less than the level of significance (0.05). Based on decision rule, reject the null hypothesis. Thus, there is enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years. Correct Answer: Option 1.