(b) Perform a Z-test and find the p-value.Here is some information to help you with your Z-test.• The value of the test statistic is given by• The p-value is two times the area under the curve to the right of the value of the test statistic.Step 2: Enter the teststatistic.(Round to 3 decimalplaces.)Step 3: Shade the arearepresented by the p-value.Step 4: Enter the p-value.(Round to 3 decimalplaces.)0.30.20.1(c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claimmade by the company.Since the p-value is less than (or equal to) the level of significance, the null hypothesis isrejected. So, there is enough evidence to reject the claim that the mean lifetime of thenewest model of battery is 20 years.o Since the p-value is less than (or equal to) the level of significance, the null hypothesis isnot rejected. So, there is not enough evidence to reject the claim that the mean lifetime ofthe newest model of battery is 20 years.Since the p-value is greater than the level of significance, the null hypothesis is rejected.So, there is enough evidence to reject the claim that the mean lifetime of the newest modelof battery is 20 years.Since the p-value is greater than the level of significance, the null hypothesis is notrejected. So, there is not enough evidence to reject the claim that the mean lifetime of thenewest model of battery is 20 years. A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a meanlifetime, μ, of 20 years. To test the company's claim, a competitor has selected 39 of these batteries at random. The meanlifetime of the sample is 21.1 years. Suppose the population standard deviation of these lifetimes is known to be 4.1 years.Is there enough evidence to reject the claim that the mean lifetime of the newest model is 20 years? Perform a hypothesistest, using the 0.10 level of significance.(a) State the null hypothesis H, and the alternative hypothesis H₁.HoH₂O(b) Perform a z-test and find the p-value.Here is some information to help you with your Z-test.Standard NormalDistributionStep 1: Select one-tailedor two-tailed.O One-tailed○ Two-tailedStep 2: Enter the teststatistic.(Round to 3 decimalplaces.)Step 3: Shade the arearepresented by the p-value.• The value of the test statistic is given by *-.√The p-value is two times the area under the curve to the right of the value of the test statistic.0.30.2H x0.1O<0 oso0>0020 0-0 0-0XGX

From given data we have sample mean x=21.1 Population std. deviation σ=4.1 n=39 μ=20null and alternative hypothesis H0:μ=20H1:μ≠20Step : 1 Two tailed Step : 2 Test statistic z=x¯-μσn =21.1-204.139 =1.675 Step : 2 p-value=2×P(z≥1.68)=2×[1−P(z≤1.68)]=2×[1−0.9530]=2×0.0470=0.094 since p-value is < 0.10 so, Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 20 years.