Sample 1 (equal variances) Since t= 1.0169, DF=27, We compute value of P, which

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Sample 1 (equal variances)

Since t= 1.0169, DF=27, We compute value of P, which is equal to .318227 for a two tailed hypothesis, which means the result is not significant at p<.05 and the diffence is very small or negligible. If we say there is a difference, there is a chance of 31.8 percent of being wrong.

Since t= 1.0169, DF=27, We compute value of P, which is equal to .159114 for a one tailed hypothesis,which means the result is not significant at p<.05 and the diffence is very small or negligible. If we say there is a difference, there is a chance of 15.9 percent of being wrong.

In two sample test, samples are compared to figure out if they belong to same population, .i.e there is hardly any difference between them.

Sample 2(Unequal Variances)

Since t= 0.8882, DF=10.1018, We compute value of P, which is equal to .3953 for a two tailed hypothesis, which means the result is not significant at p<.05 and the diffence is very small or negligible. If we say there is a difference, there is a chance of 39.53 percent of being wrong.

In an unequal variance test, null hypothesis states that means might be same for two populations but their variance will differ. P value decides whether to reject the null hypothesis or not. If it is large, then don’t reject the hypothesis. Since, in this case, p value is too small, we might reject the null hypothesis.

Explanation / Answer

Marketing research data analyze

Legend on Outputs

•Obs: Observations

•Ho: Null Hypothesis

•Ha: Alternate Hypothesis

•T or Z: First variable’s mean

•T or z: Second variable’s mean or Null Hypothesis’s predicted mean

•!= : Doesn’t equal

•Pr: Probability of seeing something due to chance or p value

•dif: Difference between

•Dummy Coding for Gender: 0 for Female, 1 for Male

•Likert Scale used in Survey: 1 = no interest, 5 = extreme interest, 3 = Neutral

public Speaking by gender

•The survey respondents were grouped by Gender

•Interpret the analysis

. ttest publicspeakingshort, by(gender) Tuo-sample t test with equal variances Group Obs Mean Std. Err, Std. Dev. [95% Conf. Interval] .2124258 46291 .9734573 1.309307 0 2 1 3.952381 3.5 3 . 509269 2.405392 4.395493 4.594608 combined 29 3.827586 .198944 1.071346 3.420068 4.235105 diff .452381 4448458 -. 4603 673 1.365129 diff Ho : diff =0 = mean (O) -mean (1) t= 1.0169 27 degrees of freedom Ha: diff > 0 Pr (T > t) = 0.1591 Ha : diff t) = 0.1975

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