## Problem Description

In this hypothesis testing assignment, Explore the significance of statistical hypothesis testing through real-world scenarios. Investigate the impact of counseling on job satisfaction and the efficacy of group therapy in improving daily living activities. These case studies employ SPSS to provide practical insights into research methodologies and decision-making processes. Discover the critical role of hypothesis testing in statistical analysis.

### Part 1: Does Counseling Improve Job Satisfaction?

This part of the assignment deals with the question of whether counseling has a positive impact on job satisfaction among employees following industrial accidents.

**Hypothesis Testing:
**

**Null hypothesis (Ho):**Counseling doesn't affect the mean job satisfaction among employees. Alternative hypothesis (H1): Counseling increases the mean job satisfaction among employees.**Significance level:**0.01**The result of the SPSS:**

group | N | Mean | Std . Deviation | Std . Error Mean |
---|---|---|---|---|

Group 1 | 10 | 38 | 2.261 | 0.715 |

Group 2 | 10 | 35.8 | 3.393 | 1.073 |

**Table 1: Group statistics- result of SPSS**

Levene's Test Variances | for Equality of | t-settor Equality | of Means | |||||||
---|---|---|---|---|---|---|---|---|---|---|

F | Sig | 1 | of | Sig (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Difference Lower | Interval of the Upper | ||

JOBSAT | Equal variances assumed | 1,337 | 263 | 1,706 | 18 | 105 | 2,200 | 1.289 | -509 | 4,909 |

Equal variances not assumed | 1,706 | 15,676 | 108 | 2,200 | 1,289 | -538 | 4.938 |

**Table 2: Independent Samples Test results**

**The p-value of the test is:**0.053**The decision:**Based on the p-value (0.053) and a significance level of 0.01, there is not sufficient evidence to support the claim that researchers should recommend counseling to improve job satisfaction.

### Part 2: Does Group Therapy Improve ADL in Depressed People?

This part of the assignment explores whether group therapy has a significant impact on the Activities of Daily Living (ADL) for depressed individuals.

**Hypothesis Testing:****Null hypothesis (Ho):**Average ADL before and after the therapy is the same. Alternative hypothesis (H1): There is a difference in average ADL before and after the therapy.**Significance level:**0.05

**The result of the SPSS:**

**Paired Samples Statistics**

Pair 1 | Mean | N | Std. Deviation | Std. Error Mean |
---|---|---|---|---|

ADLPRE | 10.60 | 10 | 2.066 | .653 |

ADLPOST | 14.90 | 10 | 3.143 | .994 |

**Table 3: Results of the SPSS for Paired Samples Test**

**Paired Differences**

Pair 1 | Mean | Std. Deviation | Std. Error Mean | Lower | Upper | t | df | Sig. (2-tailed) |
---|---|---|---|---|---|---|---|---|

ADLPRE-ADLPOST | -4.300 | 3.199 | 1.012 | -6.588 | -2.012 | -4.251 | 9 | .002 |

**Table 4: Results of the SPSS for Paired Differences**

**Mean ADL before therapy: **10.60

**Mean ADL after therapy: **14.90

**The p-value of the test is:**0.002**The decision:**Since the p-value (0.002) is less than the significance level of 0.05, we reject the null hypothesis. Researchers should recommend group therapy for all depressed individuals as there is a significant difference in the average ADL before and after therapy.

### Part 3: Evaluating the Effect of Group Therapy on Depressed Individuals

In this section, the aim is to determine whether group therapy significantly impacts the Activities of Daily Living (ADL) among depressed individuals.

**Hypothesis Testing:
**

**Null hypothesis (Ho):**Average ADL after therapy is 15. Alternative hypothesis (H1): Average ADL after therapy is different from 15.**Significance level:**0.05**The result of the SPSS:**

**One-Sample Statistics
**

Activity | N | Mean | Std. Deviation | Std. Error Mean |
---|---|---|---|---|

ADL | 20 | 16.65 | 4.557 | 1.019 |

**Table 5: One- Sample Test**

Test-Value= 15

**Mean ADL after therapy: **16.65

**The p-value of the test is:**0.122**The decision:**Since the p-value (0.122) is greater than the significance level of 0.05, we fail to reject the null hypothesis. There is no sufficient evidence to indicate that behavioral scientists should not recommend group therapy to depressed individuals.

### Part 4: Five step of hypothesis testing:

This section explores the effects of a new workplace intervention. The problem at hand is whether this intervention leads to a significant improvement in employee performance. Hypothesis testing will be conducted to assess if the new intervention has a positive impact on workplace productivity and whether it is a recommended strategy for enhancing employee performance.

**1. Null hypothesis (Ho):
**

**Alternative hypothesis(H1):**

**2. Significance level:
**

**3. The result of the SPSS:
**

**4. The p-value of the test is:
**

**5. The decision:
**

### Part 5: Five step of hypothesis testing:

In Part 5, we investigate the impact of a specific educational program on student outcomes. The problem revolves around determining whether this program positively affects student performance. Hypothesis testing will be employed to assess whether the educational program leads to significant improvements in student outcomes, and whether it should be recommended for broader implementation in the education system.

**1. Null hypothesis (Ho):**

**Alternative hypothesis(H1):**

**2. Significance level:
**

**3. The result of the SPSS:
**

**4. The p-value of the test is:
**

**5. The decision:**