The questions are on the basis of ″Quantitative Data Collection and Analysis′′. QUESTION 1 Multiple answer question. You are required to select multiple answer(s). For a chi-squared goodness of fit what type of plots are appropriate? Select all answers which apply. Stem & Leaf diagrams Pie charts Histograms Bar charts Scatter diagrams QUESTION 2 Multiple answer question. You are required to select multiple answer(s). Select which of the following statements are correct for a Chi-squared test: The observed frequencies are those obtained from the sample. If any of the expected frequencies are computed to be less than 5 then the categories should be regrouped. The expected frequencies are those computed using the sample size and null hypothesis distribution. For a uniform distribution, the expected frequencies for each category will be identical. QUESTION 3 In the following questions we will run through a chi-squared goodness of fit. It is proposed by a researcher that hair colour is distributed throughout a population as follows: Red: 2% Blonde: 18% Light brown: 25% Dark brown: 48% Black: 7% In order to test this hypothesis, a sample of 800 students is recruited. The observed frequencies obtained from the sample are as follows: Red: 19 Blonde: 51 Light brown: 154 Dark brown: 224 Black: 52 Calculated numeric question. Here you are required to type in a number. Calculate the expected frequency for red hair. Type your answer with no decimal places. QUESTION 4 Calculated numeric question. Here you are required to type in a number. Calculate the expected frequency for blonde hair. Type your answer with no decimal places. QUESTION 5 Calculated numeric question. Here you are required to type in a number. Calculate the expected frequency for light brown hair. Type your answer with no decimal places. QUESTION 6 Calculated numeric question. Here you are required to type in a number. Calculate the expected frequency for dark brown hair. Type your answer with no decimal places. QUESTION 7 Calculate the expected frequency for black hair. Type your answer with no decimal places. QUESTION 8 Calculated numeric question. Here you are required to type in a number. How many degrees of freedom does this data have? Type your answer with no decimal places. QUESTION 9 Calculated numeric question. Here you are required to type in a number. Using SPSS (or similar), calculate the chi-squared test statistic. Write your answer to 3 decimal places. QUESTION 10 Multiple answer question. You are required to select multiple answer(s). Select the correct statement(s). If the observed test statistic is greater than the critical value, then the null hypothesis is accepted. If the observed test statistic is close to zero this is consistent with the null hypothesis. If the observed test statistic is close to zero this is consistent with the alternative hypothesis. If the observed test statistic is more than the critical value, then the alternative hypothesis is rejected. If the observed test statistic is less than the critical value, then the alternative hypothesis is rejected. If the observed test statistic is greater than the critical value, then the null hypothesis is rejected.
