Question

In: Statistics and Probability

Generate a hypothesis about the difference between two groups in a dataset. State null hypothesis and...

  1. Generate a hypothesis about the difference between two groups in a dataset.
    • State null hypothesis and alternative hypothesis as an explanation and math equation.
  2. Identify the appropriate statistical test of the difference between two groups in a dataset.
    • Provide your statistical rationale.
  3. Perform appropriate statistical test of the difference between two groups in a dataset.
  4. Interpret statistical results of a data analysis and state whether to accept or reject the null hypothesis based on the p-value and an alpha of .05.
    • Interpret p-value and statistical significance.
  5. Summarize practical, administration-related implications of the hypothesis test.

Dataset:                      

clinic1

clinic2

140

169

126

151

30

175

130

115

193

167

137

153

168

115

99

194

135

216

184

149

118

122

109

155

93

185

136

150

102

141

24

135

99

87

104

42

134

96

80

111

30

234

44

158

156

130

150

148

150

105

95

108

51

114

205

113

30

131

92

114

173

61

49

175

137

135

27

198

150

149

182

92

184

127

152

170

147

167

76

175

161

263

143

138

27

161

166

166

139

88

92

152

145

136

176

121

186

174

48

90

92

179

69

171

168

85

27

134

157

123

83

134

139

64

132

153

85

106

97

192

125

115

145

150

129

151

157

166

183

105

50

159

185

160

149

52

157

167

185

103

127

178

110

174

66

80

141

128

125

172

111

154

150

170

162

152

94

95

138

111

162

144

134

136

83

191

157

193

134

144

137

168

76

94

115

126

51

208

150

136

25

201

137

171

148

148

207

214

189

111

104

204

197

189

131

159

151

188

202

174

Solutions

Expert Solution

In order to solve this question I used R software.

R codes and output:

> x=scan('clipboard')
Read 200 items
> m=matrix(x,nrow=100,byrow=TRUE)
> head(m)
[,1] [,2]
[1,] 140 169
[2,] 126 151
[3,] 30 175
[4,] 130 115
[5,] 193 167
[6,] 137 153

> var(m[,1])
[1] 2283.129
> var(m[,2])
[1] 1582.514

> t.test(m[,1],m[,2])

Welch Two Sample t-test

data: m[, 1] and m[, 2]
t = -3.4918, df = 191.7, p-value = 0.0005955
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-33.973357 -9.446643
sample estimates:
mean of x mean of y
123.32 145.03

Hypothesis:

H0 :

There is no difference in the average of clinic1 and clinic2.

H1 :

There  is significant difference in the average of clinic1 and clinic2.

Since we don't know the population standard deviation hence we use t test. And sample are independent of each other and having different variances. Hence we use independent sample t test with unequal variances.

Test statistics = t = -3.4918 with  df = 191.7,

p-value = 0.0005955

Since p-value is less than 0.05, we reject null hypothesis and conclude that there  is significant difference in the average of clinic1 and clinic2.


Related Solutions

Generate a hypothesis about the difference between two groups in a dataset. State null hypothesis and...
Generate a hypothesis about the difference between two groups in a dataset. State null hypothesis and alternative hypothesis as an explanation and math equation. Identify the appropriate statistical test of the difference between two groups in a dataset. Provide your statistical rationale. Perform appropriate statistical test of the difference between two groups in a dataset. Interpret statistical results of a data analysis and state whether to accept or reject the null hypothesis based on the p-value and an alpha of...
here is my Null Hypothesis and Alternative Hypothesis: Null Hypothesis: There is no significant difference in...
here is my Null Hypothesis and Alternative Hypothesis: Null Hypothesis: There is no significant difference in the housing expenses between married and unmarried households. Alternative Hypothesis: There is a significant difference in the housing expenses between married and unmarried households. what are the type I and type II errors?
Explain in detail the difference between the null hypothesis and alternative Hypothesis. In what cases you...
Explain in detail the difference between the null hypothesis and alternative Hypothesis. In what cases you reject the Null and apply the alternative give a practical example.
For each of the following, (a) state the null hypothesis and (b) state the alternate hypothesis,...
For each of the following, (a) state the null hypothesis and (b) state the alternate hypothesis, (c) state the type of test that you will use to test the hypothesis and the level of significance, (d) state the critical value , (e) calculate the z-statistic or the t-statistic, (f) state whether we shall reject or fail to reject the null hypothesis, (g) state the relation between the p-value and α with an appropriate inequality, and (h) conclude the hypothesis test...
For each of the following, (a) state the null hypothesis and (b) state the alternate hypothesis,...
For each of the following, (a) state the null hypothesis and (b) state the alternate hypothesis, (c) state the type of test that you will use to test the hypothesis and the level of significance, (d) state the critical value , (e) calculate the z-statistic or the t-statistic, (f) state whether we shall reject or fail to reject the null hypothesis, (g) state the relation between the p-value and α with an appropriate inequality, and (h) conclude the hypothesis test...
What is the difference between a null and alternative hypothesis? Provide an example of how each...
What is the difference between a null and alternative hypothesis? Provide an example of how each is written, citing your reference.
Rejecting and Failing to Reject the Null Hypothesis. What is the difference between failing to reject...
Rejecting and Failing to Reject the Null Hypothesis. What is the difference between failing to reject the null hypothesis and having evidence to support the alternative hypothesis?
For the following Hypothesis Tests below :     (a) State the null hypothesis, if not given.    ...
For the following Hypothesis Tests below :     (a) State the null hypothesis, if not given.         (b) State the decision rule.     (c) Compute the value of the test statistic.     (d) What is your decision regarding H0?        (e) Your conclusion. Exercise 6: A stockholder at Critical Securities reported that the mean rate of return on a sample of 10 oil stocks was 12.6 percent with a standard deviation of 3.9 percent. The mean rate of return on...
Using the data below and the 5 steps of null hypothesis testing for a one-way between-groups...
Using the data below and the 5 steps of null hypothesis testing for a one-way between-groups ANOVA, examine if adults from Ohio, Michigan, and New York differ in the average number of years of education completed (p < .05). Ohio X Michigan X New York X 15 13 10 15 12 17 12 14 15
State the null hypothesis. State the alternate hypothesis. What is (are) the independent variable(s)? What is...
State the null hypothesis. State the alternate hypothesis. What is (are) the independent variable(s)? What is (are) the dependent variable(s)? Objective African-American adolescents are twice as likely to develop hypertension in early adulthood than adolescents from other racial groups. The purpose of this study was to determine the efficacy of a school-based health promotion intervention. Method Participants were African-American adolescents aged between 14 and 17 years attending an urban high school. The 9-week intervention program focused on the participants' knowledge,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT