I need assistance with finding Z AND P VALUE. If you could guide me through the steps About 10% of the human population is left-handed. Suppose a researcher speculates that artists are more likely to be left-handed than other people in the general population. The researcher surveys150 artists and finds that 18 of them are left-handed.If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: P - 0.10 and H: p> 0.10. The sample result was that 18 artists of 150 surveyed (or 12%) are left-handed.A USE SALT(a) From the given information, do we know If the conditions necessary to use a z-statistic for this test are met? Explain.We --Select-v sure the sample was selected randomly, the sample size-Select--v large enough because both np and n(1 - p) are--Select-v 10.(b) State the population of interest, the population parameter of interest, and the value of the sample statistic.The population of interest is -Select-1. The population parameter is p = -Select-The sample statistic is(c) Conduct a hypothesis test using level of significance a = 0.05. Clearly give the details of the five steps. Be sure to write a conclusion.Set up the null and alternative hypothesis.Ho: P?v0.1H:P?v0.1Compute the test statistics for this situation. (Round your answer to two decimal places.)Calculate the p-value for the test. (Round your answer to four decimal places.)p-value =On the basis of the p-value, make a conclusion for this situation.>F11F12esc000F4F100 AF5F7F8F9F1F2F3

Solution: n= 150 Sample size of artist x= 18 artist are left handed p^=xn=18150=0.12 Sample proportion of artist who are left handed p= 0.10 Population proportion of artist who are left handed a) We are sure the sample was selected randomly the sample size is large enough because both np and n(1-p) are greater that or equal to 10 b) The population of interest is the proportion of all artist who are left handed. The population parameter is p = 0.10. The sample statistic is p^=0.10 c) The null and alternative hypothesis is Ho: p= 0.10 Vs Ha: p > 0.10 Test statistic z=p^-pp×(1-p)nz= 0.12-0.100.10×0.90150z= 0.12-0.100.09150z=0.12-0.100.0006z=0.020.0244948=0.8164998z= 0.82 Test statistic z = 0.82 To find P value P[Z>z]=0.2061 From Z table P value = 0.2061 Conclusion: Fail to reject the null hypothesis because the P value is greater than 0.05 Conclusion in words : We can not conclude that artist are more likely to be left handed than people in general population.