Question

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QUESTION 29 Back in the 1970s it was estimated that about 10% of Americans hunt. However, many of those close to the hunting sport believe there is a decline in the percentage of those that hunt now. A recent study by the US Fish and Wildlife Services found that of the 346 Americans surveyed. 53 of them say they hunt. Using a significance level of 0.05, test the claim that the proportion of American hunters now is less than what it was in the 1970s. a. State the null and alternative hypotheses. a. Ho: p = 0.1 vs. Hy; p<0.1 b. Ho: P = 0.1 vs. Hi: p > 0.1 0.1 vs. Hyu<0.1 d. Ho: p = 0.05 vs. Hip > 0.05 = 0.05 vs. H14+0.05 f. Ho: p = 0.05 vs. Hip <0.05 c. Hot 10 e. HoiH

Answer 1

here aplha = 0.05 and p-value = 0.0114

bolun- In 1970s it was estimuled that about 10% of Americans hust. loy Aim: To test the claim that the proportion of a American hunters now less than what it was in 1970s. ". Ho: p=0 HI: P<ol . Ans.) a. Ho: p=0.1 VS HIP=0.1 by Here , n=846 American survey x = 53 of them say they hunt 53 - 0.0626 0.06 843 Þ Tes! Slalishid = Z - É -p P(1-P) 0.06-01 O ")*(1-01) 846 -0.04 0.0103142 = - 3.878) 2 - 3,878 : test statistic is - 3.878 cy Assume that test statistic you found is - 2.11 i test statistic Z=-2.11 P-value = (probability at z = -2.11 810m standar Normal tobie) ::P-value = 0.0114

Since p-value < alpha , Reject null hypothesis at given level of significance , i.e accept alternative hypothesis.

Here we conclude that there is significant evidence to prove that American hunters now less than what is was in 1970s