Microhabitat factors associated with forage and bed sites of barking deer in a country, were examined. In this region woods make up 5.1% of the land, cultivated grassplots make up 14.4%, and deciduous forests make up 39.9%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplots, and 61 as deciduous forests. The table below summarizes these data. Woods Cultivated grassplots Deciduous forests Other Total 16 61 345 426 (a) Write the hypotheses for testing if barking deer prefer to forage in certain habitats over others. He: Distribution of foraging preference does not follow the distribution of available land type. HA: Distribution of foraging preference follows the distribution of available land type. O Ho: H woods * H grassplots * Aforests * Mother HA: at least two of the group means, It woods' If grassplots' A forests' H other are equal O Ho: H woods = H grassplots = M forests = Mother HA: at least two of the group means, /woods' A grassplots' A forests' / other are not equal O Ho: Distribution of foraging preference follows the distribution of available land type. HA: Distribution of foraging preference does not follow the distribution of available land type. (b) What type of test can we use to answer this research question? one-sample means with the t-distribution ANOVA O chi-squared goodness of fit test difference of two means difference of two proportions (c) Check if the assumptions and conditions required for this test are satisfied. (Select all that apply.) The success-failure condition is not satisfied. The success-failure condition is satisfied It is not known if the plots were sampled randomly, so we cannot be sure the independence condition is satisfied. Each expected count is greater than 5. The plots were sampled randomly, so the independence condition is satisfied. X (d) Do these data provide convincing evidence that barking deer prefer to forage in certain habitats over others? Conduct an appropriate hypothesis test to answer this research question. Calculate the test statistic. (Round your answer to two decimal places.)