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# (Solved) MATH225 Week 7 Assignment Conduct a Hypothesis Test for Proportion – P-Value Approach

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Question

A teacher claims that the proportion of students expected to pass an exam is greater thanÂ 80%. To test this claim, the teacher administers the test toÂ 200Â random students and determines thatÂ 151Â students pass the exam.

The following is the setup for this hypothesis test:

H0:p=0.80

Ha:p>0.80

In this example, the p-value was determined to beÂ 0.944.

Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level ofÂ 5%)

Question

A police office claims that the proportion of people wearing seat belts is less thanÂ 65%. To test this claim, a random sample ofÂ 200Â drivers is taken and its determined thatÂ 126Â people are wearing seat belts.

The following is the setup for this hypothesis test:

H0:p=0.65

Ha:p<0.65

In this example, the p-value was determined to beÂ 0.277.

Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level ofÂ 5%)

Question

A college administrator claims that the proportion of students that are nursing majors is greater than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 190 are nursing majors.

The following is the setup for this hypothesis test:

H0:p=0.40

Ha:p>0.40

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

 z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 2.6 0.995 0.995 0.996 0.996 0.996 0.996 0.996 0.996 0.996 0.996 2.7 0.997 0.997 0.997 0.997 0.997 0.997 0.997 0.997 0.997 0.997 2.8 0.997 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 2.9 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.999 0.999 0.999 3.0 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 3.1 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999

Question

A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime.

The following is the setup for this hypothesis test:

H0:pÂ = 0.35

Ha:pÂ â‰ Â 0.35

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

 z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -1.9 0.029 0.028 0.027 0.027 0.026 0.026 0.025 0.024 0.024 0.023 -1.8 0.036 0.035 0.034 0.034 0.033 0.032 0.031 0.031 0.03 0.029 -1.7 0.045 0.044 0.043 0.042 0.041 0.04 0.039 0.038 0.038 0.037 -1.6 0.055 0.054 0.053 0.052 0.051 0.049 0.048 0.047 0.046 0.046 -1.5 0.067 0.066 0.064 0.063 0.062 0.061 0.059 0.058 0.057 0.056 -1.4 0.081 0.079 0.078 0.076 0.075 0.074 0.072 0.071 0.069 0.068

Question

A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher administers the test to 200 random students andÂ  determines that 151 students pass the exam.

The following is the setup for this hypothesis test:

H0:p=0.80

Ha:p>0.80

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

z0.000.010.020.030.040.050.060.070.080.09-1.90.0290.0280.0270.0270.0260.0260.0250.0240.0240.023-1.80.0360.0350.0340.0340.0330.0320.0310.0310.0300.029-1.70.0450.0440.0430.0420.0410.0400.0390.0380.0380.037-1.60.0550.0540.0530.0520.0510.0490.0480.0470.0460.046-1.50.0670.0660.0640.0630.0620.0610.0590.0580.0570.056-1.40.0810.0790.0780.0760.0750.0740.0720.0710.0690.068

Question

A human resources representative claims that the proportion of employees earning more than \$50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than \$50,000.

The following is the setup for this hypothesis test:

H0:p=0.40

Ha:p<0.40

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

Question

A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime.

The following is the setup for this hypothesis test:

H0:pÂ = 0.35

Ha:pÂ â‰ Â 0.35

In this example, the p-value was determined to be 0.075

Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)

Question

A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects isÂ 12%. To test this claim, a random sample ofÂ 900Â people taking the medication is taken and it is determined thatÂ 93Â people have experienced serious side effects. .

The following is the setup for this hypothesis test:

H0:p=0.12

Ha:pâ‰ 0.12

In this example, the p-value was determined to beÂ 0.124.

Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level ofÂ 5%)

Question

A business owner claims that the proportion of take out orders is greater than 25%. To test this claim, the owner checks the next 250 orders and determines that 60 orders are take out orders.

The following is the setup for this hypothesis test:

H0:p=0.25

Ha:p>0.25

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

 z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -0.7 0.242 0.239 0.236 0.233 0.23 0.227 0.224 0.221 0.218 0.215 -0.6 0.274 0.271 0.268 0.264 0.261 0.258 0.255 0.251 0.248 0.245 -0.5 0.309 0.305 0.302 0.298 0.295 0.291 0.288 0.284 0.281 0.278 -0.4 0.345 0.341 0.337 0.334 0.33 0.326 0.323 0.319 0.316 0.312 -0.3 0.382 0.378 0.374 0.371 0.367 0.363 0.359 0.357 0.352 0.348 -0.2 0.421 0.417 0.413 0.409 0.405 0.401 0.397 0.394 0.39 0.386