In a recent year, about 22% of Americans 15 years and older are single. What is the probability that in a random sample of 180 Americans 15 or older, more than 27 are single? Round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places.P( X27)= TABLE E The Standard Normal DistributionCumulative Standard Normal Distribution.00.01020304.05.06.07.08.09-3.4.0003.00030003.00030003.0003.0003.0003.0003.0002-3.3.0005.0005.000500040004.0004.0004.0004.0004.0003-3.2.0007.00070006.00060006.0006.0006.0005.0005.0005-3.1.0010.0009.0009.0009000800080008.0008.0007.0007-3.0.0013.0013.00130012001200110011.00110010.0010-2.9.0019.0018.00180017001600160015.0015.0014.0014-2.8.0026.00250024.0023.0023002200210021.0020.0019-2.7.0035.00340033.003200310030.0029.0028.0027.0026-2.6.0047.004500440043.0041004000390038.0037003600590078-2.5.0062.0060.0057005500540052.00510049.0048-2.4.0082.0080.00750073.0071.0069.0068.0066.0064-2.3.010701040102.009900960094.0091.00890087.0084-2.2.013901360132.012901250122.0119.0116.0113.0110-2.10179017401700166016201580154.01500146.0143-2.0.02280222.0217.0212020702020197.01920188.0183-1.9.028702810274.0268.026202560250.0244.0239.0233-1.80359035103440336.0329.0322.03140307.0301.0294-1.7.0446043604270418.04090401.039203840375.0367-1.6.05480537.05260516.05050495.048504750465.0455-1.5.0668.06550643063006180606.059405820571.0559-1.4.0808.0793.0778.0764.0749.07350721.07080694.0681-1.3.09680951.0934.091809010885.0869.0853.0838.08231093.1056.10381003.0985.1112.1314.1539.1788-1.2.1151.1131.1075.1020.1251.12301210.1190.1170.1292.15151762203312711335.1562-1.1.1357-1.0.15871492.1469.14461423.1401.13791635.1711.1977.1685.1949-0.9.1841.181417361660.1611-0.8.21192090.2061.20051922.1894.1867-0.7.2420238923582327229622662236.2206.2177.2148.2611,25782546.25142483.2451.2676.3015-0.6.2743270926432843.2776.28773228.28102981.333629463300-0.5.3085.30502912.3372.3264.3192.3156.3121.344638214207-0.4.3409.3632.3594.3557.3520.3483366940524443-0,3.3783.3745.37074168.4129.4090.4013.3974.3936.3897.3859-0.2-0.14562.45224483.440443644325428642474602-0.04960.49204880.48404801.4761.4721.468146415000For z values less than-3.49, use 0.0001. TABLE E (continued)Cumulative Standard Normal Distribution.00.01.02.03.0405.06.07.08.090.0.5000.5040.5080.5120.51605199.5239.5279.5319.53590.1.5398.5438.5478551755575596.5636.56755714.57530.2.5793.5832587159105948.5987.6026.6064610361410.3.6179.6217625562936331636864066443.648065170.46554.659166286664670067366772.6808.6844.68790.5.6915.695069857019.70547088.7123.7157.7190.72240.6.7257.7291.73247357.7389.7422.7454.776474867517.75490.7.75807611.7642.7673.7704.77347794.7823.78520.8.7881.7910.7939.7967.799580238051.81068078.8133.81598212]0.9.8186.82388264828983158340.8365.83891.0.84138438.8461.8485.8508.8531.85548577859986211.1.864386658686.8708.87298749.8770879088 1088301.28849.8869.88888907.8925.8944.8962.8980.899790151.390329049906690829099911591319147.916291771.491929207,9222.92369251.92659279.9292.930693191.593329345935793709382939494069418.9429.94411.6,945294639474.9484.9495.95059515.95259535.95451.7.95549564957395829591959996089616962596331.8.9641,964996569664967196789686,9693969997061.9.97139719972697329738974497509756976197672.0.9772.9778.9783.9788.97939798,98039808.98172.198219826983098349838984298469850985498572.22.3.9861986498689871.9875987898819884.98879890.9893,98969898.9901990499069909.9911.991399162.4.991899209922.9925,992799299931.9932.99349936994099552.5.9938994199439945994699489949995199522.69953,9956,99579959,99609961.9962.996399642.7996599669967996899699970,99719972997399742.8,9974997599769977.99779978997999799980.99812.999819982998299839984998499859985998699863.09987998799879988.9988.998999899989999099903.1.99909991999199919992.99929992,9992999399933.2.99939993999499949994.9994.9994,9995.9995.99953.3,99959995999599969996999699969996999699973.499979997.9997999799979997,9997999799979998For z values greater than 3.49, use 0.9999,

Name: In a recent year, about 22% of Americans 15 years and older are single
Uploaded: 2024-03-20T07:06:41.000Z
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Description: In a recent year, about 22% of Americans 15 years and older are single. What is the probability that in a random sample of 180 Americans 15 or older, more than 27 are single? Round the final answer to at least 4 decimal places and intermediate z-valu

Question

In a recent year, about 22% of Americans 15 years and older are single. What is the probability that in a random sample of 180 Americans 15 or older, more than 27 are single? Round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places.P( X>27)= TABLE E The Standard Normal DistributionCumulative Standard Normal Distribution.00.01020304.05.06.07.08.09-3.4.0003.00030003.00030003.0003.0003.0003.0003.0002-3.3.0005.0005.000500040004.0004.0004.0004.0004.0003-3.2.0007.00070006.00060006.0006.0006.0005.0005.0005-3.1.0010.0009.0009.0009000800080008.0008.0007.0007-3.0.0013.0013.00130012001200110011.00110010.0010-2.9.0019.0018.00180017001600160015.0015.0014.0014-2.8.0026.00250024.0023.0023002200210021.0020.0019-2.7.0035.00340033.003200310030.0029.0028.0027.0026-2.6.0047.004500440043.0041004000390038.0037003600590078-2.5.0062.0060.0057005500540052.00510049.0048-2.4.0082.0080.00750073.0071.0069.0068.0066.0064-2.3.010701040102.009900960094.0091.00890087.0084-2.2.013901360132.012901250122.0119.0116.0113.0110-2.10179017401700166016201580154.01500146.0143-2.0.02280222.0217.0212020702020197.01920188.0183-1.9.028702810274.0268.026202560250.0244.0239.0233-1.80359035103440336.0329.0322.03140307.0301.0294-1.7.0446043604270418.04090401.039203840375.0367-1.6.05480537.05260516.05050495.048504750465.0455-1.5.0668.06550643063006180606.059405820571.0559-1.4.0808.0793.0778.0764.0749.07350721.07080694.0681-1.3.09680951.0934.091809010885.0869.0853.0838.08231093.1056.10381003.0985.1112.1314.1539.1788-1.2.1151.1131.1075.1020.1251.12301210.1190.1170.1292.15151762203312711335.1562-1.1.1357-1.0.15871492.1469.14461423.1401.13791635.1711.1977.1685.1949-0.9.1841.181417361660.1611-0.8.21192090.2061.20051922.1894.1867-0.7.2420238923582327229622662236.2206.2177.2148.2611,25782546.25142483.2451.2676.3015-0.6.2743270926432843.2776.28773228.28102981.333629463300-0.5.3085.30502912.3372.3264.3192.3156.3121.344638214207-0.4.3409.3632.3594.3557.3520.3483366940524443-0,3.3783.3745.37074168.4129.4090.4013.3974.3936.3897.3859-0.2-0.14562.45224483.440443644325428642474602-0.04960.49204880.48404801.4761.4721.468146415000For z values less than-3.49, use 0.0001. TABLE E (continued)Cumulative Standard Normal Distribution.00.01.02.03.0405.06.07.08.090.0.5000.5040.5080.5120.51605199.5239.5279.5319.53590.1.5398.5438.5478551755575596.5636.56755714.57530.2.5793.5832587159105948.5987.6026.6064610361410.3.6179.6217625562936331636864066443.648065170.46554.659166286664670067366772.6808.6844.68790.5.6915.695069857019.70547088.7123.7157.7190.72240.6.7257.7291.73247357.7389.7422.7454.776474867517.75490.7.75807611.7642.7673.7704.77347794.7823.78520.8.7881.7910.7939.7967.799580238051.81068078.8133.81598212]0.9.8186.82388264828983158340.8365.83891.0.84138438.8461.8485.8508.8531.85548577859986211.1.864386658686.8708.87298749.8770879088 1088301.28849.8869.88888907.8925.8944.8962.8980.899790151.390329049906690829099911591319147.916291771.491929207,9222.92369251.92659279.9292.930693191.593329345935793709382939494069418.9429.94411.6,945294639474.9484.9495.95059515.95259535.95451.7.95549564957395829591959996089616962596331.8.9641,964996569664967196789686,9693969997061.9.97139719972697329738974497509756976197672.0.9772.9778.9783.9788.97939798,98039808.98172.198219826983098349838984298469850985498572.22.3.9861986498689871.9875987898819884.98879890.9893,98969898.9901990499069909.9911.991399162.4.991899209922.9925,992799299931.9932.99349936994099552.5.9938994199439945994699489949995199522.69953,9956,99579959,99609961.9962.996399642.7996599669967996899699970,99719972997399742.8,9974997599769977.99779978997999799980.99812.999819982998299839984998499859985998699863.09987998799879988.9988.998999899989999099903.1.99909991999199919992.99929992,9992999399933.2.99939993999499949994.9994.9994,9995.9995.99953.3,99959995999599969996999699969996999699973.499979997.9997999799979997,9997999799979998For z values greater than 3.49, use 0.9999,

Accepted Answer

Obtain the probability that in a random sample of 180 Americans 15 or older, more than 27 are…

In a recent year, about 22% of Americans 15 years and older are single. What is the probability that in a random sample of 180 Americans 15 or older, more than 27 are single? Round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places. P( X>27)=