MAT FPX 2001 Assessment 4 Inferential Statistics

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MAT FPX 2001 Assessment 4 Inferential Statistics
  • MAT FPX 2001 Assessment 4 Inferential Statistics.

Statistical Summary: Questions 1–4

QuestionSample ProportionSample Size
#127.00%54
#228.00%54
#350.00%54
#427.00%54

Confidence Intervals: Questions 1–4

QuestionErrorLower LimitUpper LimitConclusion
#10.1208304614.92%39.08%We are 95% confident the true population proportion is between 0.149 and 0.391.
#20.12220201915.78%40.22%We are 95% confident the true population proportion is between 0.158 and 0.402.
#30.13608276336.39%63.61%We are 95% confident the true population proportion is between 0.364 and 0.636.
#40.1208304614.92%39.08%We are 95% confident the true population proportion is between 0.149 and 0.391.

Statistical Summary: Questions 5–6

Question Sample MeanSample Std DevSample Size
#52.5640.80454
#62.54320.343554

MAT FPX 2001 Assessment 4 Inferential Statistics

Read more about our sample MAT FPX 2001 Assessment 3 Design a Focused Survey Template for complete information about this class.

Confidence Intervals: Questions 5–6

QuestionErrorLower LimitUpper LimitConclusion
#50.2188210842.3451789162.782821084We are 95% confident the true population proportion is between 2.345 and 2.783.
#60.0934888592.4497111412.636688859We are 95% confident the true population proportion is between 2.45 and 2.637.

Hypothesis Tests: Questions 1–6

QuestionHoHaReject Ho WhenTest StatisticDecisionSummary
#1p ≥ 0.25p < 0.25z < -1.645-3.380295845Do not Reject HoThere is not sufficient statistical evidence to show the proportion of currently 0.25 is doing physical acttivity everyday.
#2p ≤ 0.30p > 0.30z > 1.645-3.23332646Do not Reject HoThere is not sufficient statistical evidence to show the proportion of 0.25 physical activity can improve stress.
#3p = 0.45p ≠ 0.45z < -1.96 or  z > 1.96-1.5Do not Reject HoThere is not sufficient statistical evidence to show the proportion of 0.45 compiled a physical activity plan.
#4p ≥ 0.32p < 0.32z < -1.645-8.145870119Reject HoThere is not sufficient statistical evidence to show the proportion of 0.32 physical activity helped improve mental health condition.
#5μ = 2.79μ ≠ 2.79z < -1.96 or z > 1.96-131.9434102Reject HoThere is sufficient statistical evidence to show the mean of number of days for exercise is less than 2.79
#6μ ≤ 2.05μ > 2.05z > 72.65-2491.351416Reject HoThere is sufficient statistical evidence to show the mean of number of hours to get results is less than 2.05.

Rejection criteria:

Left-tailed test, reject Ho when z < -1.645.
Right-tailed test, reject Ho when z > 1.645.
Two-tailed test, reject Ho when z < -1.96 or z > 1.96.
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